EP Math Pre-Algebra
Workbook Answers
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EP Math Pre-Algebra Workbook Answers
D[y 1 Order of Operations
D 40 14
2 16
49 11
44 3
64 7
4 124
D[y 1 Practice
A 14 37
51 35
36 22
1000 34
57 29
3 43
29 101
26 14
B 16 5
3 9
8 54
D[y 2 Number Properties
C (27 + 23) + 15 = 50 + 15 = 65
(16 + 34) + (8 + 12) = 50 + 20 = 70
(4 x 5) x 13 = 20 x 13 = 260
(5 x 2) x (7 x 5) = 10 x 35 = 350
8 x (20 + 7) = (8 x 20) + (8 x 7) = 216
(30 + 6) x 5 = (30 x 5) + (6 x 5) = 180
9 x (50 + 5) = (9 x 50) + (9 x 5) = 495
(8 x 6) + (8 x 7) = 48 + 56 = 104
(4 x 8) + (5 x 8) = 32 + 40 = 72
(5 x 9) − (5 x 4) = 45 − 20 = 25
(8 x 6) − (3 x 6) = 48 − 18 = 30
D[y 2 Practice
A O
O O
O O
B O
O O
C (4 x 5) + (4 x 7) = 20 + 28 = 48
(8 x 5) + (3 x 5) = 40 + 15 = 55
(7 x 9) − (7 x 4) = 63 – 28 = 35
(6 x 8) − (2 x 8) = 48 – 16 = 32
D[y 2 Practice (Continued)
D (45 + 15) + 28 = 60 + 28 = 88
(56 + 14) + (9 + 11) = 70 + 20 = 90
(5 x 6) x 12 = 30 x 12 = 360
3 x (6 x 5) x 7 = (3 x 30) x 7 = 630
8 x (50 + 4) = (8 x 50) + (8 x 4) = 432
(30 + 5) x 7 = (30 x 7) + (5 x 7) = 245
E 105 420
88 630
75 960
D[y 3 Divisibility Rules
C 2, 3, 4, 6, 9 3, 5, 9
2, 3, 6, 9 2, 3, 4, 6, 9
2, 3, 4, 5, 6, 10 2, 4, 5, 10
2, 3, 4, 6, 9 2, 3, 4, 6, 9
2, 3, 4, 5, 6, 9, 10 2, 4, 5, 10
D O O O O
O O O
O O O O O O
D[y 3 Practice
A 2, 3, 5, 6, 9, 10 2, 3, 4, 6
2, 3, 4, 6, 9 2, 3, 4, 6, 9
3, 5, 9 2, 4
2, 3, 4, 6, 9 3, 5, 9
2, 3, 4, 6 2, 3, 6, 9
2, 4, 5, 10 2, 3, 4, 6, 9
B O O O O
O O O O
O O O
C 81, 375, 6288
D[y 4 Prime Factorization
D 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
E Prime Prime
Composite Composite
F 22 x 32 2 x 3 x 13
2 x 32 x 5 2 x 52
22 x 3 x 7 32 x 7
33 x 11 2 x 32 x 19
5 x 7 x 17 23 x 34
EP Math Pre-Algebra Workbook Answers
D[y 4 Practice
A 7, 17, 37, 47, 67, 97
B Prime Composite
Prime Prime
Composite Composite
C 22 x 5 2 x 5 x 7
22 x 17 3 x 52
3 x 29 23 x 7
32 x 19 22 x 3 x 13
23 x 3 x 5 x 7 34 x 11
D 32, 117, 972
D[y 5 GCF and LCM
D GCF = 4 LCM = 48 GCF = 5 LCM = 150
GCF = 6 LCM = 120 GCF = 16 LCM = 96
GCF = 9 LCM = 180 GCF = 27 LCM = 162
D[y 5 Practice
A GCF = 3 LCM = 36 GCF = 5 LCM = 60
GCF = 8 LCM = 48 GCF = 14 LCM = 84
GCF = 15 LCM = 75 GCF = 4 LCM = 288
GCF = 16 LCM = 160 GCF = 8 LCM = 120
GCF = 9 LCM = 108 GCF = 24 LCM = 144
B 10 a.m.
7 baskets
12 tiles
D[y 6 Adding and Subtracting …
D 4/7 2/9 8/11 6/7
E 1 1/4 1/2
1 2/3 2/5
4 1/9 2 1/2
5 3 1/5
D[y 6 Practice
A 3/5 5/8 4/9 5/14
B 1/2 1/7
1 1/4
2 3/4 1 2/3
2 2/7 5 1/2
6 1/5 3 2/3
5 1/9 1 1/5
D[y 6 Practice (Continued)
C 16 3/5 lbs
18 1/4 yrs
2 2/3 lbs
D[y 7 Adding and Subtracting …
C 1 1/2 19/30
1 3/14 5/14
2 17/20 2 5/8
5 1/18 2 1/2
3 19/24 5/12
D[y 7 Practice
A 1 3/2 3 12/7 7/5 2 13/9
B 1 11/36 3/20
1 3/8 5/12
3 5/12 3 3/8
2 2/45 3/4
6 3/8 1 5/18
4 23/36 2 1/3
C 4 3/5 gallons
4 1/4 cups
18 1/8 rows
D[y 8 Multiplying and Dividing …
D 1/6 4/5
4 1/5 7/12
1 3/4 1 3/4
4 1/14 4/9
D[y 8 Practice
A 7/2 11/4 12/7 37/8
B 2/7 1 1/9
1/6 1/20
11 2/3 56
16 2/3 10/27
42 1 7/18
22 1/2 1 7/8
C 10 3/14 miles
Sandy
1/4 gallon
EP Math Pre-Algebra Workbook Answers
D[y 9 Estimating Sums and …
E 1/2 0 1 1/2
F 1 1/2 1/2
1/2 1
3 1/2
6 3
D[y 9 Practice
A 1/2 0 1 1/2
B 1/2 1/2
1 1/2
1 1/5 1
3 2 1/2
4 1/2 1/2
8 3
C About 6 miles
About 2 1/2 feet
About 4 1/2 gallons
D[y 10 Estimating Sums and …
C 2 1/2 1/6
3 3/5 1/7
3 1 7/8
7/10 2
2 1/10 2 7/9
20/21 1 7/8
D[y 10 Practice
A 13 1/2 1/10
7 1/8
9/10 7/15
1 1/2 1 19/35
4/9 5/28
2 2/5 1 7/8
B 1 1/44
D[y 11 Decimal Place Value and …
C Tenths Hundredths Ones
Tens Tenths Thousandths
D 0.05 15.7
0.012 0.132
E 2.09, 2.9, 2.91, 9.2 1.002, 1.02, 4.78, 4.87
D[y 11 Decimal Place … (Continued)
F 40 35 35.1 35.09
870 873 873 872.96
1,610 1,610 1,609.8 1,609.8
D[y 11 Practice
A Tens Hundredths Thousandths
Hundredths Ones Tenths
B 0.9 0.027
0.011 0.402
5.6 30.27
128.549
C 2.03, 2.3, 3.2, 3.21 0.42, 4.077, 4.2, 4.707
0.01, 0.1, 0.101, 0.11 0.97, 0.973, 7.23, 9.73
D 10 10 9.5 9.53
40 39 38.6 38.59
200 204 203.5 203.5
6,000 5,996 5,996.2 5,996.19
E 0.247 0.038 0.007
D[y 12 Adding and Subtracting …
B 48.7 6.6
47.42 3.45
9.653 1.864
70.25 16.18
114.42 5.347
21.005 5.853
4.419 513.796
10.543 9.586
D[y 12 Practice
A 62.52 24.6
42.7 2.552
45.48 23.891
51.712 27.28
38.32 5.322
9.203 23.052
22.98 9.857
B $14.72
39.92 inches
11.2 °F
$29.81
EP Math Pre-Algebra Workbook Answers
D[y 13 Multiplying and Dividing …
C 6.23 0.45
12.28 7
9.125 8.3
27.229 96
31.314 9.25
D[y 13 Practice
A 6.72 8.3
4.152 26
16.72 37
3.848 180
0.063 8.05
112.406 126
1.6245 82.05
B 24.5 inches
$5.80
165.1 cm
$2.60
D[y 14 Absolute Value and Opposites
D 0 11 236
8 45 603
E 0 9
4 ‐15
F ‐9, ‐4, 0, |‐4|, |‐8|, 9 ‐8, ‐2, |‐1|, 7, |‐8|, 16
‐7, ‐1, 1, 2, |‐5|, |‐6| ‐10, ‐6, ‐5, 2, |‐4|, |‐11|
G ‐53
0
$512
D[y 14 Practice
A False, True, True, True, False
B 1 32 116
7 56 1027
C 1 ‐9
‐7 23
D ‐2, 0, |‐3|, |‐5|, |‐6| ‐9, ‐8, 0, |‐9|, |‐11|, 23
‐7, ‐5, 1, |‐5|, 7, |‐8| ‐13, ‐10, ‐2, |‐1|, 2, |‐5|
E ‐17, 11, 4.2
D[y 15 Adding and Subtracting …
C 3 ‐11 ‐18
9 2 3
‐11 10 ‐30
‐14 3 ‐5
D ‐11 30
10 16
‐18 17
‐8 ‐4
E ‐8 °C
7th floor
11 °C
D[y 15 Practice
A False, False, False, True
B 9 ‐5 6
2 2 ‐17
12 ‐11 ‐26
‐14 ‐2 7
C 14 15
‐4 ‐6
22 22
‐18 ‐2
D $53
6 °C
$425
16 °C
D[y 16 Multiplying and Dividing …
B Examples will vary. Sample:
Like signs: 6 ÷ 3 = 2 ‐6 ÷ ‐3 = 2
Unlike signs: 6 ÷ ‐3 = ‐2 ‐6 ÷ 3 = ‐2
C ‐63 ‐1 4
40 ‐24 35
‐5 ‐7 7
D ‐47 1
‐31 ‐12
56 22
E $386
‐1,100 feet
29 hours
EP Math Pre-Algebra Workbook Answers
D[y 16 Practice
A False, True, False, False
B ‐42 ‐1 12
35 ‐24 28
‐28 15 ‐5
C ‐30 ‐14
‐63 ‐4
28 31
D $6,770
4 minutes
70 feet/minute
D[y 17 Operations with Negative …
C 11.25 ‐60
‐3.405 ‐12.4
‐4.085 ‐218.88
‐17.65 3.5
‐0.877 ‐8.712
0.816 2.009
‐19.03 ‐8
5.033 5.35
D[y 17 Practice
A ‐2.32 ‐3.5
‐4.58 ‐256.2
‐2.379 0.82
‐0.247 ‐0.378
‐4.004 ‐14.6
3.045 0.4368
‐6.195 0.92
B $16.60
‐1.4 °C
$75.60
D[y 18 Coordinate Plane
C (‐4, 4) Q2 (1, 3) Q1
(0, ‐2) None (1, ‐4) Q4
(3, ‐3) Q4 (4, 0) None
(‐2, 0) None (‐3, ‐3) Q3
(‐5, 2) Q2 (5, 4) Q1
D C Q2 E None
A Q1 I Q3
H Q4 D Q2
G None J Q1
B None F Q4
D[y 18 Practice
A False, True, False, False
B (3, 4) Q1 (3, ‐3) Q4
(1, 0) None (‐3, 1) Q2
(‐2, ‐4) Q3 (‐4, 3) Q2
(0, ‐2) None (5, ‐2) Q4
(‐5, ‐2) Q3 (1, 2) Q1
C E None F Q2
D Q2 C Q4
H Q1 I Q3
J None B None
A Q3 G Q4
D (‐1, ‐2)
(‐4, 1)
D[y 19 Catch up and Review!
B Yes 0.3
2 x 3 x 3 x 3 8.82
GCF = 8, LCM = 48 3.6
11/24 20
8/27 Q4
D[y 19 Practice
A True, True, False, True, True
False, True, False, False, True
B 4.47 0.283
1.28 0.5
37.6 0.419
C 7 − ‐5 = 12 ‐24 ÷ 8 = ‐3
+ × ÷ ×
‐3 − ‐9 = 6 ‐4 − ‐7 = 3
= = = =
4 45 6 ‐56
‐7 + ‐8 = ‐15
+ ×
9 × 5 = 45
= =
2 ‐40
EP Math Pre-Algebra Workbook Answers
D[y 20 Ratios and Rates
D 8/9 8:9 8 to 9
5/60 5:60 5 to 60
4/15 4:15 4 to 15
E 3 to 2 6:7 5/3
2:3 3/2 5:3
F $7.40/ticket 76 heartbeats/minute
$18/hour 54 customers/hour
D[y 20 Practice
A 29/14 29:14 29 to 14
24/3 24:3 24 to 3
10/40 10:40 10 to 40
B 3 to 4 3/7 2:5
3:5 3/4 5/3
2/7 2:3 2 to 3
C 0.75 inches/hour 18 seats/row
62 miles/hour 256 births/minute
D 24 miles
Kyle
Carter
Store M
D[y 21 Proportions
D x = 6 x = 25
x = 15 x = 18
x = 9 x = 49
x = 7 1/5 x = 22 2/5
x = 12 1/2 x = 19 1/5
D[y 21 Practice
A x = 15 x = 6
x = 6 x = 36
x = 20 x = 37 1/2
x = 57 3/5 x = 9 3/8
x = 10 x = 25
x = 3 1/2 x = 4 4/5
B 14 cups
72 miles
15 boys
2,040 m
D[y 22 Fractions, Decimals, and …
D 3/5 0.6 60%
3/4 0.75 75%
5/8 0.625 62.5%
19/40 0.475 47.5%
27/50 0.54 54%
D[y 22 Practice
A > = >
< < =
B 1/8 0.125 12.5%
4/5 0.8 80%
14/16 0.875 87.5%
7/20 0.35 35%
18/24 0.75 75%
13/25 0.52 52%
C 0.25
15%
3/5
6/15
D[y 23 Percent of a Number
D x/800 = 45/100
x = 360
24/160 = x/100
x =15%
99/x = 22/100
x = 450
x/325 = 16/100
x = 52
E 16%
$195
$1.68
$252
$23.60
EP Math Pre-Algebra Workbook Answers
D[y 23 Practice
A 60% 0.6 3/5
35% 0.35 7/20
144% 1.44 1 11/25
378% 3.78 3 39/50
B x/400 = 65/100
x = 260
153/x = 90/100
x = 170
18/75 = x/100
x = 24%
x/700 = 48/100
x = 336
126/x = 70/100
x = 180
56/350 = x/100
x = 16%
C 40%
$46.20
$116.60
$2.60
Store M
D[y 24 Percent of Change
B +80% ‐45% +240%
C 27 92 84
C $756
$29.40
Ali
D[y 24 Practice
A +70% +210% ‐30%
‐25% +150% ‐80%
B 455 36 126
806 163 2,352
C 30%
18%
$180.80
$36.72
Store M
21%
D[y 25 Converting Metric Units
C 14,000 m 0.35 g 200 mL
2.3 kg 2400 L 235 cm
1.5 kL 0.005 km 8,000 mg
D 22.4 km
6 liters
10 kg
D[y 25 Practice
A kg g
cm mL
mg km
mm kL
B 5,900 mg 4,200 cm 0.09 kL
0.035 L 11,000 g 700 mm
0.097 km 0.082 kg 430 mL
50,000 mL 1.7 m 5.13 kg
C 6 bottles
192 cm
0.03 kL
680 kg
370 g
D[y 26 Converting Customary Units
B 6 ft 28 qt
264 ft 93 yd
22.5 lb 25 gal
C 6 pounds
96 cookies
13 pieces
D[y 26 Practice
A lb gal
in mi
ft yd
oz c
B 44 oz 1,584 ft
168 in 24 c
5.25 lb 35.5 ft
70 gal 63 yd
C 6 cups
8 ounces
2.5 gallons
Mark
D[y 27 Converting Units of Measure
B 2.3 kg About 15 cm
About 60L 2,300 m
About 15 mi About 14 oz
25.6 c 0.004 kL
About 4 c 136 oz
EP Math Pre-Algebra Workbook Answers
D[y 27 Practice
A 5400 mL 0.42 m
28 yd About 1,362 g
About 750 mL 20,000 mg
About 310 in 66.4 pt
4.8 lb About 6.5 gal
B 0.6 m
0.25 kg
Carol
Alex’s
Container P
D[y 28 Catch up and Review!
B 65 miles per hour
x = 48
3 2/5
15.3
34%
About 40 cm
D[y 28 Practice
A 210 words/page $5.99/pound
$26/hour 28 miles/gallon
B x = 14 x = 56
x = 10 x = 75
C 60, 38, 100, 92, 3/4
D[y 29 Squares and Square Roots
D 4 36 0.25
64 81 1.21
121 144 1.69
E 1 5 7
2 8 13
6 9 15
F 24 13
20 ‐8
D[y 29 Practice
A 1 9 0.04
16 25 0.36
49 64 1.44
100 169 2.25
D[y 29 Practice (Continued)
B 0 2 0.1
3 6 0.7
5 9 1.1
12 13 1.4
C 11 9
1 27
‐73 ‐6
D 81, 25, 45
D[y 30 Rational and Irrational Numbers
D 3/1 125/100 or 5/4
7/10 13/5
E Irrational Irrational
Rational Rational
Rational Rational
Irrational Irrational
D[y 30 Practice
A The 4th statement is false.
B 0/1 106/10 or 53/5
11/10 29/7
C Rational Rational
Rational Rational
Irrational Irrational
Irrational Rational
Rational Rational
Rational Rational
Irrational Irrational
Rational Irrational
D Every integer can be written as the integer over
1.
D[y 31 Approximating Square Roots
B 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
D 4 & 5 7 & 8
5 & 6 13 & 14
E 3 8
7 11
F √8, 4, √17, 5, √31 5, √26, √32, 6, √7
√60, 8, 9, √88, √92 √93, 11, 12, √150, 13
EP Math Pre-Algebra Workbook Answers
D[y 31 Practice
A True, True, True, False
B 1 16 49 100 169
4 25 64 121 196
9 36 81 144 225
C 4 & 5 9 & 10
7 & 8 14 & 15
D 4 9
6 12
E √3, 2, √7, √8, 3 √15, 4, √18, 5, √27
√39, 7, √50, 9, 11 √84, √93, 10, √113, 13
D[y 32 Approximating Square Roots
C 4 & 5 8 & 9
7 & 8 10 & 11
D 2.8 6.7
4.5 9.1
5.9 10.2
9.6 11.3
E 2, √5, 2.6, √8, 3 4, √19, 4.7, 5, √28
D[y 32 Practice
A 6 & 7 9 & 10
7 & 8 12 & 13
B 3 6
6 11
C 1.7 4.7
3.9 6.8
5.8 10.9
8.1 13.1
9.5 14.5
D 6, √37, 6.5, √47, √50 7, √50, 7.3, √65, 8.6
√79, 9.1, √92, 9.7, √99 9, 9.2, √89, √95, √101
D[y 33 Simplifying Square Roots
D 4√2 2√5
2√7 3√2
3√5 3√7
3√3 4√6
4√5 8√2
2√6 7√3
D[y 33 Practice
A 2√2 4√2
4√6 2√5
6√2 4√3
3√7 2√6
3√5 2√7
2√3 8√2
7√2 7√5
5√2 6√3
3√3 5√6
3√6 4√7
5√3 6√5
D[y 34 Simplifying Square Roots
C 4√6 7√3
9√5 13√7
30√3 ‐14√2
5/6 4√5
1 10√3
D[y 34 Practice
A 6√6 11√2
35√2 2√5
12√2 ‐9√3
9√7 29√7
12√5 7√6
40√3 16√3
24√6 6√5
21√5 11√2
2/3 ‐5
2 1/5 2√2
D[y 35 Simplifying Surds
C Rational numbers are marked:
4√5 2√3
6√6 18
4√7 1√6
52 0
√5 4√5
5 ‐6√2
EP Math Pre-Algebra Workbook Answers
D[y 35 Practice
A Rational numbers are marked:
6√2 10
9√3 3√14
4√13 40√21
12√5 9√3
75 2√11
15√11 0
3 ‐√7
2√3 7√13
3/5 ‐4√11
√7 22
D[y 36 Pythagorean Theorem
E Yes Yes No
F 10 3√2
3√5 2√13
5√3 13
D[y 36 Practice
A Yes No Yes
No Yes Yes
B 5 √5
5√2 16
26 6√3
C 5 + 3√5
5√5
D[y 37 Cubes and Cube Roots
E 125 ‐1 0.008
27 729 ‐0.064
‐512 216 ‐0.343
F 9 ‐21
‐6 12
15 24
D[y 37 Practice
A True, True, False, False
B ‐8 64 0.001
512 27 ‐0.125
343 ‐1000 0.216
C 5 ‐18
7 32
‐16 28
14 ‐30
D 0 9
‐3 2
D[y 38 Catch up and Review!
B 17
π, √2
7
2√7
16√3
10
‐997
D[y 38 Practice
A False. √4 is rational because √4 = 2.
B 5.29 36,100
0.55 2600
1.7 0.003375
C 3√7 9√2
8√3 7√5
15√6 13√2
D 2750, 169, ‐3
D[y 39 Exponents
F 1 1/49 ‐81
32 1/125 ‐64
1 1/100 1/81
G 1 1/3 7 4/5
1 5/9
EP Math Pre-Algebra Workbook Answers
D[y 39 Practice
A 0 1/25 ‐32
49 1/8 ‐1/1000
81 1/1 81
16 1/216 ‐1
1 1/400 1/64
B 81 7 7/8
4/9 9
2 2
2/5 26
8 2
‐1/125 16
‐5 1/3 ‐1 1/2
D[y 40 Negative Exponents
C ‐8 1 ‐1/64
1/25 81 1
‐343 ‐729 1/10000
D 2 1/2
3 1/5 ‐1/2
‐1/2 4
2 2/3 16
‐8 ‐10,000
‐8/9 ‐96
D[y 40 Practice
A 16 ‐1/36 ‐1/125
1/64 ‐729 196
‐81 1/16 1/100
B 4 2
1/32 ‐1/9
64 2 1/2
‐16 54
‐2 2/3 36
‐1/9 ‐1/3
C x = 7 x = 3
x = 2 x = ‐1
x = ‐3 x = ‐2
D[y 41 Simplifying Exponents
E a5 a‐3
a4 a‐2
F 5x6 x2/y5
6x7 ‐20y3/x4
2/x ‐4x/y3
D[y 41 Practice
A c11 c3
c‐3 c‐9
c4 c‐5
B 4x5 x6y3
14/x3 ‐27y5/x2
3/x2 ‐3x/y2
10/x8 4x2y/z5
C 25 15
1 36
‐16 1
D[y 42 Simplifying Exponents
E a6 a‐20
9a2 (1/4)a‐2
(1/25)a2 ‐27a‐3
C 4x10 16x6/y10
‐27/x12 x12y8/16
16/x4 ‐8y12/x9
D[y 42 Practice
A c20 c‐10
125c3 (1/64)c‐2
(1/16)c2 ‐32c‐5
B 9x14 32x20/y15
x15/64 x12y6/64
25x16 27x6/y15
16/x28 ‐x15/y6
C 1/8 16
81 18
1/7 1/4
D[y 43 Simplifying Exponents
B 9x7 16x‐6
24x‐8 ‐48x11
‐10x11 2x18
3x3 (1/27)x3
10x‐8 36x‐10
EP Math Pre-Algebra Workbook Answers
D[y 43 Practice
A O O
O O O
O O O
B 4x5 36x‐6
35x‐1 (1/49)x‐18
‐14x6 32x11
6x‐7 3x4
4x‐13 9x10
(‐1/5)x5 25x4
‐3x‐2 27x‐8
D[y 44 Scientific Notation
C Yes No
Yes No
D 23,000 0.0063
527,000,000 0.0000328
7,425,000 0.0001229
E 3.2 × 107 3.2 × 10‐7
1.59 × 109 7.28 × 10‐4
2.543 × 108 9 × 10‐11
D[y 44 Practice
A No No
Yes Yes
B 1,500 0.00073
830,000,000 0.00000034
2,270,000 0.0000916
17,800,000 0.00449
656,200 0.000005103
C 7.5 × 104 5 × 10‐11
6 × 1010 2.14 × 10‐4
1.95 × 109 3.67 × 10‐8
8.2 × 106 5.04 × 10‐7
6.123 × 108 6 × 10‐10
D 3 × 105
9.3 × 107
2 × 10‐8
1 × 10‐12
2.7 × 107
3.3 × 108
D[y 45 Scientific Notation
D 1.5 × 106 7 × 10‐5
1.4 × 104 3.6 × 10‐7
7.5 × 103 5 × 10‐6
8 × 10‐6 6 × 1013
1.6 × 103 1.8 × 10‐6
D[y 45 Practice
A 6,000 45,420
0.00003 0.0000028
20,000 137,000
B 3.29 × 10‐5 1.45 × 108
2.7 × 10‐8 5 × 10‐11
8.3 × 106 2.736 × 109
C 5.4 × 1010 3.3 × 10‐2
2 × 104 1.15 × 10‐7
4 × 109 2.7 × 104
D 5 x 102
2.1 x 10
1.728 x 1011
D[y 46 Reciprocals in Algebra
D 9 ‐2 2/5 7/23 ‐6/25
E x5 x3y4 y2/x4 2/x2
F Left column:
12x8 ↔ (1/12)x‐8
(1/8)x‐12 ↔ 8x12
(‐1/3)x3 ↔ ‐3x‐3
Right column:
(1/9)x‐5 ↔ 9x5
(1/27)x3 ↔ 27x‐3
(1/36)x‐2 ↔ 36x2
EP Math Pre-Algebra Workbook Answers
D[y 46 Practice
A 3 1/2 ‐2 4/5 4/11 ‐7/38
9/13 ‐6/29 1 3/5 ‐3 5/7
B 1/2x x2 xy x2/y2
x3 1/x4 y3/x5 x3/y5
C Left column:
28x6 ↔ (1/28)x‐6
(1/64)x‐10 ↔ 64x10
(5/8)x4 ↔ (8/5)x‐4
‐5x‐4 ↔ (‐1/5)x4
Right column:
‐5x3 ↔ (‐1/5)x‐3
(1/2)x10 ↔ 2x‐10
(3/4)x‐2 ↔ (4/3)x2
81x8 ↔ (1/81)x‐8
D[y 47 Catch up and Review!
B 1/25
x‐1
X9
1.25 x 10‐6
2 x 1011
x3
D[y 47 Practice
A 64 1/7
12 5
B a3 9v2/u6
3pq6/r2 4s5t2
C 3.2 x 10‐5 1.5 x 104
2.5 x 102 4 x 10‐7
D ‐3, 6, 15
D[y 48 Catch up and Review!
B False, True, True, True, False
True, True, False, True, True
False, False, True, True, False
True, False, True, True, False, False
D[y 48 Practice
A 4 9
7 2
90 0.024
24 75
8 2
10 9
6 5
B
5
-5 0 5
C
-5
C 5 3√17 5√2 2√29
D[y 49 Measuring Angles
D ∠AOD =140° ∠BOA = 20° ∠COE = 130° ∠EOD = 40° ∠BOD = 120°
E Use your protractor to check the accuracy of
your construction.
D[y 49 Practice
A ∠AOE = 165° ∠DOB = 100° ∠COF = 130° ∠BOC = 15° ∠EOD = 30°
B ∠PQR = 135° ∠QRS = 100° ∠RSP = 70° ∠SPQ = 55° Sum = 360°
C Use your protractor to check the accuracy of
your construction.
B
A
C
D
EP Math Pre-Algebra Workbook Answers
D[y 50 Angle Relationships
C Right Acute Obtuse
D Suppl. Comp. Neither
Neither Suppl. Comp.
E 60° 35°
44° 73°
74° 31°
D[y 50 Practice
A Obtuse Acute Right
Acute Straight Obtuse
B 45° 16° 70°
32° 60° 49°
C 90° 145° 60°
113° 96° 25°
D The 2nd and 3rd statements are true.
E 67° 130°
131° 38°
93° 75°
D[y 51 Angle Relationships
D 44° 28°
124° 130°
E 45 107
D[y 51 Practice
A ∠2 ∠7 ∠2, ∠4, ∠8
B Suppl. Vertical Comp. Corresp.
C 27° 108°
138° 64°
60° 45°
D 18 13
D[y 52 Angle Relationships
C Alt ext. Comp. Alt int. Vertical
D 113° 88°
E 14 7
32 112
D[y 52 Practice
A Alt int. Comp. Alt ext. Vertical
Vertical Alt ext. Suppl. Corresp.
B 13 56
170 15
10 36
90 28
D[y 53 Triangles
C A/E O/I A/S R/I
A/I R/S O/S A/E
D 60° 53° 48° 35°
D[y 53 Practice
A O
O
O
B D, F, G, H B, E, I A, C, J
D, H C, E, F, I A, B, G, J
C 34 6
8 15
13 101
D[y 54 Quadrilaterals
C Rectangle, Square
Rhombus, Square
Trapezoid, Kite
Rectangle, Square
Parallelogram, Rhombus
Rhombus, Square, Kite
D Square Kite
90° 82°
Rhombus Trapezoid
123° 84°
EP Math Pre-Algebra Workbook Answers
D[y 54 Practice
A O O
O
O
B Rhombus Trapezoid
120° 107°
Kite Parallelogram
129° 105°
C e = 50° g = 80°
f = 50° h = 70°
D Rectangle
Square
Rectangle
Kite
D[y 55 Polygons
D O O O O
O O O O
E Hexagon Heptagon
720° 900°
Octagon Decagon
1,080° 1,440°
D[y 55 Practice
A O O O O
B Pentagon 5 3 540°
Hexagon 6 4 720°
Octagon 8 6 1,080°
Decagon 10 8 1,440°
C 138 122
220 155
D[y 56 Pythagorean Theorem
B Yes No Yes
Yes Yes No
C 8 10
4√3 6√2
D 3√5
4√5
2√26
D[y 56 Practice
A Yes Yes Yes
No Yes No
B 8√2 15
2√5 2√34
2√14 7√3
C 5 km
5 inches
36 cm
9.9 cm
12 feet
D[y 57 Catch up and Review!
B C = 45°, S = 135°
72°
31°
Rhombus
Not a polygon (no straight sides)
No (52 + 62 ≠ 92)
D[y 57 Practice
A 16 109
90 22
25 49
57 115
5 13
B a = 75°, b = 30°, c = 60°, d = 45°
C 180° x (n – 2)
D[y 58 Similar Figures
D A, L
C, E
D, H
F, J
K, N
E 18 5
12 35
EP Math Pre-Algebra Workbook Answers
D[y 58 Practice
A O O
O
B 5 6
16 36
8.5 14.4
C A & B: 8 9 34 72
16 18 68 288
M & N: 30 4 68 120
45 6 102 270
P & Q: 2.1 4.8 13.8 10.08
3.5 8 23 28
X & Y: 4.8 7.2 24 34.56
3.6 5.4 18 19.44
D[y 59 Similar Figures
B x = 6, y = 10 x = 5, y = 4
x = 24, y = 8 x = 12, y = 10
C 175 feet
15 feet
9 feet
1.5 m
180 in2
64 inches
D[y 59 Practice
A x = 15, y = 24 x = 6, y = 6
x = 15, y = 12 x = 30, y = 25
x = 8, y = 2 x = 52, y = 11
B 16 feet
180 meters
9.6 meters
24 inches
90 cm
2 gallons
D[y 60 Scale Drawings
A 8 in 16 ft
30 cm 60 m
5.5 cm 220 km
6 in 600 miles
D[y 60 Scale Drawings (Continued)
B 102 km
1 in = 4 ft
1.8 x 2.4 cm
16.5 in2
D[y 60 Practice
A 7 in 28 ft
9 in 22.5 ft
3.5 cm 14 m
4.2 cm 210 km
8 in 320 miles
11 cm 165 km
B 50 ft2 187.5 ft2
75 ft2 150 ft2
50 ft2 525 ft2
C $265
75 feet
Type P
1.6 cm
7 feet
D[y 61 Symmetry
D Lines = 2
Order = 2
Lines = 1
Order = None
Lines = 4
Order = 4
Lines = 1
Order = None
Lines = 0
Order = 2
Lines = 1
Order = None
Lines = 2
Order = 2
Lines = 2
Order = 2
Lines = 0
Order = None
Lines = 6
Order = 6
Lines = 1
Order = None
Lines = 0
Order = None
D[y 61 Practice
A True, False, False, True, False
B H: A horizontal line of symmetry exists.
V: A vertical line of symmetry exists.
R: Rotational symmetry exists.
V H HVR V R V
HVR V H V H HVR
R V R HVR V H
C ‐20, 17, 2, 0.05
EP Math Pre-Algebra Workbook Answers
D[y 62 Transformations
B Rotation Translation Reflection
C
D[y 62 Practice
A
D[y 62 Practice (Continued)
B (‐10, 6)
(3, ‐4)
2 vertices
Quadrant I
D[y 63 Transformations
A (1, 2) (3, 7) (‐4, 3)
(9, ‐7) (2, ‐5) (‐2, ‐7)
(‐6, 4) (‐3, 0) (3, 5)
B (5, 3) (5, ‐3) (‐5, ‐3)
(4, ‐9) (‐4, ‐9) (‐4, 9)
C (0, 1) (‐1, 0) (1, 0)
(2, 3) (‐2, ‐3) (3, ‐2)
D (0, 2) (‐5, ‐4) (‐5, 4)
(‐3, 5) (3, 5) (7, 2)
(‐4, 0) (0, ‐4) (0, 4)
(6, ‐2) (9, 5) (‐9, ‐5)
EP Math Pre-Algebra Workbook Answers
D[y 63 Practice
A
B (1, 0) (1, 0) (9, ‐3)
(3, ‐5) (‐2, 1) (2, ‐1)
(‐2, 1) (‐1, ‐2) (1, ‐2)
(0, ‐3) (0, ‐3) (‐7, 1)
(‐5, ‐2) (‐2, ‐9) (9, ‐2)
(‐3, ‐7) (3, 7) (3, ‐7)
C
7
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-1
-2
-3
-4
-5
-6
D[y 64 Transformations
A (3, 6), (3, 3), (6, 3)
(0, 2), (2, ‐3), (‐2, ‐1)
(‐6, 4), (0, 10), (4, ‐2)
B
8
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
-1
-2
-3
-4
-5
D[y 64 Practice
A False, True, True, True, False
B (0, 4) (‐4, 0) (‐2, 0)
(7, ‐2) (7, ‐2) (‐7, ‐2)
(‐2, 0) (0, ‐5) (0, 5)
(8, 16) (8, ‐16) (2, ‐4)
(3, ‐1) (9, ‐3) (1, 1)
(‐9, 5) (‐2, ‐3) (‐2, 3)
C
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
-1
-2
-3
-4
-5
-6
C E
A
B
D
B C
A D
F
E
C E F
B A
D
EP Math Pre-Algebra Workbook Answers
D[y 65 Catch up and Review!
B 20 feet
90 miles
Lines = 2, Order = 2
(1, 1)
(6, ‐4)
D[y 65 Practice
A x = 20, y = 9 x = 10, y = 8
B 2 2 1 None
4 4 2 2
0 2 0 None
3 3 1 None
C (3, 5) (‐5, 3) (5, 3)
(‐4, 0) (‐2, 0) (1, ‐4)
(7, ‐5) (0, 0) (0, 0)
(0, ‐9) (0, 9) (0, ‐9)
D 6, ‐3, 0
D[y 66 Perimeter and Area of …
E 50.24 in 48 m 28 ft
F 12.56 m2 1.44 ft2 42.5 in2
21.16 m2 27 ft2 40 m2
D[y 66 Practice
A 31.4 m 25 ft 34 cm
7.2 m 43.96 cm 44 in
B 57.6 m2 254.34 in2 76 ft2
314 cm2 71.75 cm2 706.5 in2
34.8 in2 27.2 m2 78.75 m2
D[y 67 Area of Composite Shapes
C 39 in2 36.5 m2
13.42 cm2 39.25 in2
147.07 in2 185.04 ft2
D[y 67 Practice
A 81 in2 27 ft2 78.5 cm2
35 m2 135 cm2 150 in2
B 42 in2 174 ft2
8.56 m2 362.34 cm2
C 42.84 yd 51.4 cm
128.52 yd2 146.5 cm2
D[y 68 Volume of Prisms and …
D 105 in3 315 cm3
706.5 m3 160 ft3
64 cm3 502.4 cm3
630 in3 810 m3
D[y 68 Practice
A 904.32 ft3 3,375 cm3
168 in3 56 in3
405 cm3 351.68 in3
120 in3 1,260 in3
B x = 8 ft y = 4 in
D[y 69 Volume of Pyramids and …
D 125 cm3 73.5 cm3
125.6 in3 471 cm3
360 in3 1,406.72 m3
D[y 69 Practice
A 157 in3 56 cm3
64 m3 753.6 m3
254.34 in3 189 in3
120 in3 1,570 ft3
1,584 cm3 715.92 m3
D[y 70 Surface Area of Prisms and …
C 142 m2 144 ft2
299.2 in2 190.4 in2
D[y 70 Practice
A Cube, Triangular prism, Cube, Square pyramid
B 25 + 15 + 15 + 15 + 15 = 85 cm2
C 72 in2 184 ft2
480 cm2 56.4 in2
161 ft2 472 m2
D[y 71 Surface Area of Cylinders …
E 263.76 m2 505.54 cm2
94.2 in2 527.52 ft2
EP Math Pre-Algebra Workbook Answers
D[y 71 Practice
A 816.4 m2 847.8 cm2
113.04 ft2 175.84 in2
235.5 cm2 439.6 cm2
276.32 in2 477.28 cm2
642.6 m2 452.16 ft2
D[y 72 Volume and Surface Area …
A 512 in3 384 in2
226.08 in3 207.24 in2
314 ft3 282.6 ft2
300 in3 280 in2
36 m3 84 m2
401.92 cm3 452.16 cm2
288 in3 264 in2
1,130.4 in3 602.88 in2
384 ft3 384 ft2
720 cm3 516 cm2
D[y 72 Practice
A 549.5 in3 376.8 in2
180 m3 240 m2
1017.36 m3 678.24 m2
216 cm3 252 cm2
192 m3 256 m2
B 230 in3
242 in2
351.68 in3
251.2 in2
293.09 cm3
401.68 cm2
301.44 in3
401.92 in2
D[y 73 Catch up and Review!
B 126 cm2
1,000 in3
50.24 m3
600 in2
452.16 ft2
D[y 73 Practice
A 9 cm 9.8 in
7 in 8 ft
B 2,198 in3
1,004.8 in2
D[y 73 Practice (Continued)
C 36 in3
78 ft2
785 cm2
72 in3
1,570 cm3
6 in
D[y 74 Measures of Center
A Mean: Median: Mode:
6 6.5 8
5.2 5 3, 7
14 13 12, 13
28 27 No mode
20 21.5 21.5
D[y 74 Practice
A Mean: Median: Mode:
7 8 9, 8
7.5 8 9
5 5 4, 3, 6
9 10 10
27 28 No mode
1.9 1.4 0.9
4.66 5 No mode
64 55 55
378.5 427.5 429
D[y 75 Box-and-Whisker Plots
D 1st data set: 4, 6, 7, 9, 10
2nd data set: 30, 33, 37, 42, 44
E The 1st and 4th statements are correct.
103 4 5 11
6 7 8 9
4430 32 34 46
36 38 40 42
EP Math Pre-Algebra Workbook Answers
D[y 75 Practice
A O
O O
B The 2nd and 4th statements are correct.
C The 3rd and 4th statements are correct.
D M = $6, N = $4
Store M
75%
50%
25%
D[y 76 Practice
A 50 cups B Emily
240 cups 15 miles
40 cups/day 30 miles/runner
C Grapes D 6 students
20% Median = 3, Mode = 3
5 students 2.9 hours/student
D[y 77 Scatter Plots
B It shows a positive correlation, which means
that the hourly pay rate increases as experience
increases.
C Above $60/hr and close to $70/hr
D Negative
About 3K
The colder it gets, the more jackets the store
sells.
D[y 77 Practice
B Positive None Negative Positive
C The 2nd graph shows the best ‘line of best fit.’
D Positive
About 80%
Students good at math tend to do well in
physics also.
D[y 78 Choosing a Data Display
C First 4 answers: Next 3 answers:
Bar graph Scatter plot
Circle graph Line graph
Line graph Circle graph
Dot plot
D[y 78 Practice
A First 8 answers: Next 7 answers:
Dot plot Line graph
Circle graph Circle graph
Bar graph Bar graph
Scatter plot Scatter plot
Line graph Line graph
Bar graph Bar graph
Dot plot Dot plot
Scatter plot
D[y 79 Catch up and Review!
A mean = 4.8, median = 4.5, mode = 3
The right plot is correct.
54 students
See Day 77, Part C.
Line graph
D[y 79 Practice
A 5.5 5 4
1.1 1.2 None
7 7 8, 6
10 11 11
110.4 109 None
B The 1st and 3rd statements are correct.
C The 1st and 3rd statements are correct.
D 5, 5, 8
4, 4, 5, 7
6, 8, 8, 9, 9
2, 4, 4, 6
D[y 80 Sets and Venn Diagrams
F {1, 2, 4} {7, 8, 9, 10}
{8} {8}
{7, 8, 9 10} {7, 9, 10}
G {1, 5}
{6, 10, 11}
{4, 9}
{2, 3, 7, 13, 14, 15}
EP Math Pre-Algebra Workbook Answers
D[y 80 Practice
A (A ∪ B)C (B − A)C
AC ∩ B BC − A
B {1, 2, 3, 5} {3, 5}
{4} {1, 3, 4, 5}
{2} {4}
C (A ∪ B ∪ C)C (A ∪ B) − C
C ∪ (A − B) (B ∪ C)C ∩ A
D {1, 2, 3, 5, 6} {3}
{4} {1, 2, 5}
{2, 3, 6} {2}
E {3} {8, 10, 14}
{2, 4, 6, 12} {3, 6, 9, 12, 15}
{6, 12} {5, 7, 11, 13}
D[y 81 Subsets
E 2, 4, 16, 32
F A set with n elements has 2n subsets.
G O O O
O O
D[y 81 Practice
A {}, {2}, {4}, {6}, {2, 4}, {2, 6}, {4, 6}, {2, 4, 6}
B {}, {3}, {5}, {3, 5}
C {4, 5, 7, 8, 10}, # of subsets = 32
D O O O
O
O O
E O O
O O
O O O
E O
O
O
O O
O
D[y 82 Sample Space and Tree …
B 123, 132, 213, 231, 312, 321
1 2 3
2 3 1 3 1 2
3 2 3 1 2 1
C 16, 25, 36, 49, 64, 81
11, 12, 13, 21, 22, 23, 31, 32, 33
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
D 24
9
12
A B BA
BA A B
A
C
B A B
C
A B
C
A B
C
EP Math Pre-Algebra Workbook Answers
D[y 82 Practice
A RT, RG, RN, BT, BG, BN
R B
T G N T G N
RR, RB, RR, RB, BR, BR
R R B
R B R B R R
B 26 alphabet letters
12, 13, 14, 21, 23, 24, 31, 32, 34, 41, 42, 43
H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6
TTT, TTF, TFT, TFF, FTT, FTF, FFT, FFF
C 36
42
25
8
20
D[y 83 Counting Principle
B 6 x 6 x 6 = 216
2 x 2 x 2 x 2 x 2 = 32
4 x 3 x 6 = 72
9 x 9 x 9 x 9 = 6,561
9 x 8 x 7 x 6 = 3,024
D[y 83 Practice
A 3 x 3 = 9
10 x 26 = 260
3 x 3 x 2 = 18
6 x 7 x 12 = 504
4 x 4 x 1 = 16
3 x 2 x 1 = 6
4 x 4 x 4 x 4 = 256
26 x 25 x 24 x 23 = 358,800
5 x 25 x 24 x 23 = 69,000
D[y 84 Factorials
B Examples will vary. Sample: 5! = 5 x 4!
D 25! 56!
8! 15!
9! 11!
E 6 720
4 56
15 12
E 4,896 19,460
5,460 1,197
D[y 84 Practice
A 4! 6!
13! 1000!
9! 48!
6! 100!
B 24 120
210 120
30 45
C 5,040 362,880
5,040 10,920
1,938 22,386
D 145 = 1! + 4! + 5!
D[y 85 Permutations and …
D P 4 x 3 x 2 x 1 =24
P 5 x 4 x 3 x 2 x 1 = 120
C (15 x 14 x 13 x 12)/(4 x 3 x 2 x 1) = 1,365
P 11 x 10 x 9 = 990
C (25 x 24 x 23)/(3 x 2 x 1) = 2,300
D[y 85 Practice
A 123, 132, 213, 231, 312, 321
B 12, 21, 13, 31, 14, 41, 23, 32, 24, 42, 34, 43
C 12, 13, 14, 23, 24, 34
D 123, 124, 134, 234
E P 6 x 5 x 4 x 3 x 2 x 1 = 720
C (52 x 51 x 50)/(3 x 2 x 1) = 22,100
P 6 x 5 x 4 x 3 = 360
C (8 x 7 x 6 x 5)/(4 x 3 x 2 x 1) = 70
C (10 x 9 x 8 x 7 x 6)/(5 x 4 x 3 x 2 x 1) = 252
P 20 x 19 x 18 x 17 = 116,280
EP Math Pre-Algebra Workbook Answers
D[y 86 Permutations and Factorials
E P 5! = 120
C 22!/17! divided by 5! = 26,334
C 15!/10! divided by 5! = 3,003
P 8!/4! = 1, 680
P 30!/27! = 24,360
D[y 86 Practice
A 42 9
252 55
102 115
B P 8! = 40,320
P 8!/5! = 336
C 10!/6! divided by 4! = 210
C 12!/6! divided by 6! = 924
P 18!/15! = 4,896
P 26!/22! = 358,800
C 40!/(40 − 2)! divided by 2! = 780
D[y 87 Catch up and Review!
B {1, 2}
{}, {2}, {3}, {5}, {2, 3}, {2, 5}, {3, 5}, {2, 3, 5}
H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6
30 outfits
90
Combination
24 ways
D[y 87 Practice
A {1, 2} {24}
{4, 8, 12} {3, 6}
B 3 280
15 11
C 120
5,040
220
1,140
D 10, 4, 15
D[y 88 Odds
C 1:5 5:1
2:1 1:2
1:1 1:1
1:2 2:1
D[y 88 Odds (Continued)
C First 4 answers: Next 4 answers:
1:1 8:0
0:6 3:1
1:2 0:9
2:1 2:3
D[y 88 Practice
A 1:1 1:1 B 1:1
6:0 0:6 9:1
0:6 6:0 0:10
1:2 2:1 10:0
5:1 1:5 1:4
C First 4 answers: Next 3 answers:
6:0 2:5
1:3 2:1
7:1 1:3
0:10
D[y 89 Probability of Simple Events
A 6 1/6
1, 2, 3, 4 2/3
2, 3, 5 1/2
3, 6 1/3
B 25% C Clear
0% 20
75% 0.2
25% 0.8
0.9
0.1
D[y 89 Practice
A 0.25 B 89%
0.75 5%
0.375 19%
0.625 5%
12%
0%
C First 4 answers: Next 4 answers:
5/26 7/10
3/5 3/4
5/12 2/45
3/4 2/3
EP Math Pre-Algebra Workbook Answers
D[y 90 Probability of Compound …
A 1/25 B 1/20
6/25 3/10
1/25 0
C 1/12
1/4
1/6
1/12
D[y 90 Practice
A 1/81 B 1/72
1/81 0
4/9 4/9
1/3 1/3
C First 4 answers: Next 4 answers:
1/8 1/5
5/36 4/25
5/12 1/6
1/32 5/126
D[y 91 Experimental Probability
C First 3 answers: Next 3 answers:
2/3 2/9
3/5 7/11
1/4 3/13
D[y 91 Practice
A 25% B 12%
50% 20%
30% 90%
45% 36%
42%
C First 3 answers: Next 3 answers:
2/5 6/11
1/3 3/8
7/15 1/25
D[y 92 Catch up and Review!
B 1/3
1/4
4/9
2/5
3/5
D[y 92 Practice
A 2/3 B 1/2
1/3 4/9
4/5 13/18
0 1/18
C First 3 answers: Next 3 answers:
4/7 5/36
3/5 4/15
9 1/6
D[y 93 Catch up and Review!
B True, True, False, True, False
True, True, False, True, True
False, True, True, False, False
True, False, False, True, True, False
D[y 93 Practice
A > > <
= < >
B O O O
O O O O
O O O O
C
‐7 18 13 15 1
710
125
28 8 ‐12 23
10 1
110
‐1
10
3 ‐2 23 45
12 2
‐1.92 4.28 3.04 √2 2√18 √50
6.76 1.8 ‐3.16 4√8 √32 0
0.56 ‐0.68 5.52 √18 √8 √98
EP Math Pre-Algebra Workbook Answers
D[y 94 Catch up and Review!
B True, False, True, False, True
True, True, False, True, False
True, True, True, True, False
True, False, False, True, True, False
D[y 94 Practice
A V = 628 cm3
SA = 370.52 cm2
B 3/4 C 1/4 1/4
1/8 7/16 1/2
1/4 1/2 7/9
1/4
D[y 95 Writing and Evaluating …
C 15 11 10
64 16 3/16
1 1/2 2 2
6 7 1/4
D 2.9g
45 + 36h
168 − 22d
E $23.20 $153 58 pages
D[y 95 Practice
A 35 25 44
1 20 2/3
2 2 2/9 3 3/4
18 1 5/7 8
B First 3 answers: Next 3 answers:
B 0.85c 20 – 2.7b
10.4/p 68h
42 + 33h 3(n − 15)
C $5.10 $1.30 $174
$3.80 170 miles $18
D[y 96 Simplifying Expressions
D First 5 answers: Next 6 answers:
6x + 3 ‐x + 2y
9x − 3 ‐8x + y
8x + 19 5x + xy + 2
7x − 7 7x2 − x + 2
‐22x + 44 2x2 + 2x + 6
‐8x + 12
D[y 96 Practice
A
O
O
O
B O O
O O O O
C First 5 answers: Next 4 answers:
5x − 2 6x − 3y − 9
7x − 9 ‐3x + 2xy +3
‐3x − 3 3x2 + x
‐12x + 36 5x2 − 7x
5x + 5y
D 7 + m + 8 = m + 15 11 − m/9
4 + m − 6 = m − 2 3(2m − 5) = 6m − 15
D[y 97 One-Step Equations
E x = 15 x = 62 x = 42
x = 1.6 x = 0.9 x = 8.2
x = 6 x = 9 x = 15
x = 63 x = 0.8 x = 4
D[y 97 Practice
A x = 44 x = 29 x = 62
x = 2.6 x = 5.7 x = 3.25
x = 9 x = 24 x = 7
x = 1.8 x = 0.6 x = 0.9
B 12.5t = 75
6 tickets
m + 255.73 = 1896
$1640.27
k − 24.99 = 33.71
$58.70
b/15 = 35
525 books
D[y 98 One-Step Equations with …
C x = ‐14 x = 31 x = 4
x = 0.2 x = 2.6 x = 0.56
x = 7 x = 7 x = ‐95
x = ‐50 x = 1.2 x = ‐4.34
x = ‐0.51 x = ‐0.09 x = 78.2
EP Math Pre-Algebra Workbook Answers
D[y 98 Practice
A x = ‐13 x = ‐5 x = ‐77
x = 8.3 x = 1.7 x = 1.05
x = ‐15 x = ‐99 x = 21
x = 27 x = 9 x = ‐8.4
B ‐247 + x = ‐128
119 feet
0.95x = 19
20 problems
4.6x = 23
5 inches
15 + 26 = 11 + x
30 crayons
D[y 99 Two-Step Equations
B x = 2 x = ‐9 x = ‐7
x = ‐5 x = ‐8 x = 7
x = 11 x = ‐25 x = ‐18
x = 16 x = ‐9 x = 12
D[y 99 Practice
A x = 6 x = ‐7 x = ‐12
x = ‐13 x = ‐9 x = 11
x = ‐12 x = 14 x = 16
x = ‐14 x = 16 x = 21
x = 49 x = ‐54 x = ‐36
x = 15 x = 27 x = ‐8
D[y 100 Two-Step Equations with …
B x = 4 x = 8 x = 1.4
x = ‐5 x = ‐1.7 x = 0.9
C x = ‐3/4 x = 9 7/12 x=1 1/4
x = ‐2/3 x = ‐4 x = ‐9
D[y 100 Practice
A x = ‐2 x = 5 x = ‐4.7
x = 0.6 x = 5 x = 0.3
x = ‐4 1/21 x = 3 7/9 x = 1/35
x= 9 1/24 x = 1/4 x = ‐4 2/3
X = 5 3/8 x = 3 x = 2 1/2
D[y 101 Multi-Step Equations
A 3x − 3 4x + 17 ‐6x + 21
B x = 8 x = 5 x = ‐0.9
x = 3 2/7 x = ‐5 x = ‐3
x = 6 x = ‐2 1/3 x = 5
x = 1.4 x = 0 x = 6 1/2
D[y 101 Practice
A x = ‐7 x = 0.9 x = ‐3
x = 6 1/3 x = 8 x = 1.3
x = ‐6 x = ‐3 x = 1 1/2
x = ‐2 x = ‐3 x = 11
x = 2 2/5 x = ‐17 x = 1.9
D[y 102 Equations with Variables …
B x = ‐4 x = 3 1/7 x = 0.15
x = ‐2 3/5 x = 2 x = 3
x = ‐3 x = ‐5 x = ‐2 1/3
D[y 102 Practice
A x = ‐1 x = ‐8 x = 0
x = 2 x = ‐9 1/2 x = ‐7
x = ‐0.05 x = 2 x = 16
x = 3 x = 2 3/4 x = ‐3
x = 0.3 x = 1 x = 6 1/2
D[y 103 Absolute Value Equations
C x = ‐1, x = ‐17 x = 10, x = 4
x = 0.6, x = ‐0.6 x = ‐3, x = 7
x = ‐2/3, x = 2/3 x = 0, x = ‐4/5
x = 31, x = ‐17 x= 17, x = ‐20 1/2
D[y 103 Practice
A x = 2, x = ‐10 x = 13, x = ‐5
x = 3, x = ‐3 x= ‐5, x = 5
x = 5/6, x = ‐5/6 x = 27, x = ‐31
x = ‐1, x = 7 x = 6/7, x = ‐2 4/7
x = 41, x = ‐29 x = 27, x = ‐27
x= 4.3, x = 0.7 x = ‐3, x = 7
D[y 104 Equations of All Types
A Incorrect.
Substitute 9 for x. 14 x 9 is 126, not 112.
C x = ‐32 x = 7.95 x = 1.8, x = ‐1.8
x = ‐70 x = ‐1/2 x = 1 11/20
x = 3 x = ‐8 x = 3, x = ‐1.7
x = ‐14 x = 1/3 x = 1 4/7
x = ‐5 x = ‐16 x = ‐2
EP Math Pre-Algebra Workbook Answers
D[y 104 Practice
A x = ‐9 x = ‐2.4 x = 6, x = 2.4
x = 84 x = ‐1/9 x = 3 3/5
x = 13 x = 1.2 x = ‐1, x = 3 2/5
x = ‐7 x = 5/8 x = ‐1 1/6
x = ‐2 x = 0.07 x = 3
x = 1 x = ‐1/2 x = ‐4
D[y 105 Equations Word Problems
B 4x = 21.2
5.3 cm
3.14 2x = 31.4
5 inches
x + (x + 1) = 13
6
x + 0.15x = 1.38
$1.20/lb
x + 3x = 112
$28
x − 1.9 = 7.6
9.5 pounds
0.75x = 43.5
$58
15 + 6x = 45
5 hours
D[y 105 Practice
A 6x = 80.4
$13.40
3x = 17.7
5.9 cm
3.14x = 94.2
30 cm
x + (x + 2) = 18
8
x + 29 = 37
8 years old
x − 26 + 17 = 30
39 paper cups
x + (x + 16) = 34.4
$9.20
30 − 2x = 4.7
$12.65
x − 0.1x = 108
$120/share
24x = 1296
$54/month
D[y 106 Rewriting Equations and …
C y = ‐x − 4 y = 2x y = ‐5x + 7
y = x/3 – 2/3 y = x + 3 y = x – 1/2
y = 2x/5 y = x/3 + 10 y = 3x/4 – 6
D h = V/(πr2) P: 10 in
h = (SA ‐ 2πr2)/(2πr) Q: 5 cm
D[y 106 Practice
A y = ‐5x y = 2x + 7 y = ‐4x + 5
y = ‐3x Y = x/2 + 12 y = ‐3x
B w = A/l h = A/b
b = 2A/h b1 = 2A/h – b2
C 192, 23, 45
D[y 107 Catch up and Review!
B 25
‐8x + y + 5
x = 35 x = ‐13
x = ‐8 x = 0.9
x = 5 x = 3
x = 7, x = ‐2 y = 2 – x/3
9
D[y 107 Practice
A 2x + 8 = 50
x = 21
9x – 15 = 93
x = 12
3x – 10 = 116
x = 42
10x = 180
x = 18
4x – 13 = 31
x = 11
5x – 5 = 80
x = 17
6x – 3 = 75
x = 13
82 – 4x = 50
x = 8
B 14x = 126
x = 9 cm
6x/2 = 30
x = 10 in
36 + x = 60
x = 24 in
10 + 2x = 22.4
x = 6.2 m
18x = 108
x = 6 in
12 + 4x + 6x = 52
x = 4 ft
D[y 108 Writing and Graphing …
C O
O
O O O
O O
D k < 3 k ≥ ‐2 ‐5 < k ≤ 10
k > ‐8 k < 45 ‐18 ≤ k < ‐8
E x < 15
x ≥ 473
0 < x < 100
x ≤ 1,500
EP Math Pre-Algebra Workbook Answers
D[y 108 Practice
A O O
O O
O O
B 2, 3, 4, 5 5, 6, 7, 8 4, 5, 6
‐1, 0, 1, 2 ‐3, ‐2, ‐1 None
C
m > ‐6 s ≤ 8
‐10 ‐6 ‐2 5 7 9
q < 15 d ≥ ‐6
‐60 0 ‐60 ‐24 0 24
D x ≤ 10
x > 40
x ≤ 1,500
x ≥ 51
x ≥ 157
D[y 109 One-Step Inequalities
A <, <, >, >
C x ≥ ‐9 x < 43 x ≤ 41
x ≤ 6.59 x > ‐0.3 x > ‐4.03
x < 80 x ≥ ‐1 5/9 x ≥ ‐11/12
x ≥ 7/12 x < ‐5/24 x ≥ ‐2/21
x < ‐8 1/2 x > ‐3 1/8 x ≥ ‐1/10
D[y 109 Practice
A x > ‐24 x > ‐8 x ≤ 14
x ≥ 25 x ≥ ‐2.25 x > ‐0.6
x > ‐60 x ≤ ‐9.1 x ≤ 9
x ≤ ‐171 x ≥ ‐2/15 x ≤ 192
x > ‐1 1/2 x ≥ 81 x < ‐7/20
x > 1/8 x ≥ 4 7/9 x < 4 2/3
x ≤ 6 x ≥ 17 1/2 x < ‐4 3/4
D[y 110 Multi-Step Inequalities
A The second inequality.
B
x > ‐3 x ≤ 5
‐4 ‐0 4 ‐20 0 20
D[y 110 Multi-Step ... (Continued)
C x ≤ ‐6 x < 3 x > 1.7
x ≤ 15 x > ‐2 1/2 x ≤ 3/5
D[y 110 Practice
A
x ≥ 2 x < 0
‐4 ‐0 4 ‐1 0 1
B x ≤ ‐4 x > ‐9 x ≤ ‐2
x < ‐3.8 x ≥ 41 x > 1.68
x < ‐3 x < 1/5 x ≥ 3 1/4
x < ‐3/4 x ≥ 8 x ≥ 1/2
D[y 111 Inequalities of All Types
B x > 15 x ≤ ‐4 x ≤ 22.5
x < ‐1/4 x > ‐14 x < 5
x < 3 x ≤ 3 1/2 x > 1
x ≥ 34 x ≤ 4 x ≤ 1 1/5
x < 1/2 x ≤ ‐36 x ≥ ‐5/6
D[y 111 Practice
A x ≤ 44 x < 8 x < 9
x < 2.3 x > ‐0.75 x ≤ ‐1.85
x > 189 x ≤ ‐1 2/7 x > 1 1/3
x ≥ ‐1 x > ‐3 x > 1/3
x ≥ 24 x < 1/4 x < 10
x < 6 x ≤ ‐4 x > 11/15
D[y 112 Inequalities Word Problems
A Examples will vary. The solution is x ≤ 4.
B 17 + x < 42
Fewer than 25 coins
24 + x ≥ 30
At least 6 miles
14.5x ≥ 250
At least 18 hours
40x > 260
Greater than 6.5 cm
(x − 1) + x ≤ 27
At most 14
x + (x + 9) < 42
Less than $16.50
0.8x + 5 * 1.2 ≤ 20
At most 17 pencils
16 ≤ 8x/2 ≤ 36
4 cm and 9 cm
EP Math Pre-Algebra Workbook Answers
D[y 112 Practice
A 12 > y − 8 10 < 2z + 3
B 59 + x ≥ 85
At least 26 dollars
1,270 + x ≤ 2,800
Up to 1,530 pounds
18 < (1/2)x
More than 36 problems
1.9x ≤ 25
At most 13 cookies
18 + 2x ≤ 54
At most 18 cm
20 − 12x > 5
Less than $1.25
0.25x > 2000
More than $8,000
(87 + 88 + x)/3 ≥ 90
At least 95
D[y 113 Catch up and Review!
B
m > 6 s ≤ ‐8
2 6 10 ‐11 ‐8 ‐7
x = 17 x = ‐52
x > ‐22 x ≥ ‐4
x = 9 x = 10
x ≤ 1 2/5 x < 15
0.3x + 4 * 0.15 = 3.3
9 pencils
2 * 5.5 + 2x ≤ 24
6.5 cm
D[y 113 Practice
A ‐2, ‐1, 0, 1 4, 5, 6, 7, 8 2, 3, 4
8 ‐3, ‐2, ‐1, 0 ‐2, ‐1, 0, 1
B
x > ‐3 x ≤ 5
‐4 ‐0 4 ‐20 0 20
x ≥ 2 x < 0
‐4 ‐0 4 ‐1 0 1
C 15, 300, 10, 5.5
D[y 114 Graphing Linear Equations …
B
4, 2, 1, 0, ‐2 ‐5, ‐3, ‐1, 1, 3
11
-1
0, 1, 2, 3, 4 ‐4, ‐3, ‐2, ‐1, 0
2
-4 3
-2
D[y 114 Practice
A x = ‐3, 3 x = ‐4, 12
y = 8, 4, 2 y = 3, 1, ‐3
B
‐5, ‐3, ‐1, 1, 3 5, 3, 1, ‐1, ‐3
11
-1
‐1, ‐2, ‐3, ‐4, ‐5 ‐2, ‐1, 0, 1, 2
3
-3
-3
EP Math Pre-Algebra Workbook Answers
D[y 115 Slope of a Line
D 2, ‐1/3, 3/2
E 1, ‐4, ‐1/2
F y = 10
D[y 115 Practice
A ‐1, 3, 1/2
‐4/5, 2, ‐2/3
B ‐1/2, 3, 6, ‐3/4, 0
C 1
(1, ‐2)
D[y 116 Graphing Linear Equations …
C
m = 1, b = 2 m = 2, b = ‐3
2
-2
-3
m = 2/3, b = ‐2 m = ‐1/2, b = 1
1 3 2
-2
m = ‐1, b = 3 m = 3/4, b = ‐1
3
3-1
D[y 116 Practice
A
m = ‐1, b = ‐1 m = 1/2, b = 3
3
-1-1
m = 4, b = 0 m = ‐2/3, b = ‐2
0 -3
-2
m = ‐2, b = 2 m = 1, b = ‐3
2
1 3
-3
m = 1/4, b = ‐1 m = 3/2, b = ‐2
4-1
-2
B y = ‐5x + 7
2√5
EP Math Pre-Algebra Workbook Answers
D[y 117 Graphing Linear Equations …
C
m = ‐1, b = 2 m = 1/2, b = 0
2
2 0
m = 5/3, b = ‐2 m = ‐2, b = ‐1
-1
-2
m = ‐1/3, b = ‐2 m = 3, b = 2
2
-2
D y = (‐1/2)x + 6
D[y 117 Practice
A y = ‐6x y = 2x + 5 y = ‐x + 2
B
m = 4, b = ‐4 m = 1, b = ‐2
2
-2
m = ‐2, b = 3 m = ‐1/4, b = 2
32
D[y 117 Practice (Continued)
m = ‐2/3, b = 1 m = 5/4, b = ‐3
-3
m = 1/2, b = ‐2 m = ‐3, b = 1
1
-2
D[y 118 Graphing Linear Equations …
C
x‐int = ‐2, y‐int = 2 x‐int = 1, y‐int = 3
32
-2 1
x‐int = ‐2, y‐int = ‐1 x‐int = ‐3, y‐int = 4
4
-2 -3-1
x‐int = 1, y‐int = 2 x‐int = ‐4, y‐int = 1
21
1
D y = 8
EP Math Pre-Algebra Workbook Answers
D[y 118 Practice
A
x‐int = ‐3, y‐int = 2 x‐int = ‐3, y‐int = ‐3
2
-3 -3
-3
x‐int = ‐1, y‐int = 4 x‐int = ‐3, y‐int = 1
4
1-1 -3
x‐int = 1, y‐int = 2 x‐int = 1, y‐int = ‐3
2
1 1
-3
x‐int = ‐4, y‐int = ‐1 x‐int = 3, y‐int = 2
2
3-1
B y = ‐4x + 8
12 square units
D[y 119 Horizontal, Vertical, Parallel, …
G
x = ‐1 y = 4
4
-1
D[y 119 Horizontal, … (Continued)
y = ‐3 x = ‐4
-4-3
H Parallel: b and d
Slopes: b = ‐2, d = ‐2
Perpendicular: a and c
Slopes: a = 2/3, c = ‐3/2
D[y 119 Practice
A Parallel Neither
Neither Perpendicular
Perpendicular Parallel
B
42
-65
5
-3
2
7
1
-4
EP Math Pre-Algebra Workbook Answers
D[y 120 Graphing Linear Inequalities
D The first, second, and fifth pairs.
E
1-1 0
-1
-2
D[y 120 Practice
A
1 4
1 3
-2
-2
3
2
D[y 120 Practice (Continued)
B y = 0
Trapezoid, 9 square units
D[y 121 Catch up and review!
B a = 8, b = 0
3
3
-1
3
-3 -2
D[y 121 Practice
A x + 6 = 2y
y = x/2 + 3
‐6, 3
2y + 6 = x
y = x/2 − 3
6, ‐3
y − 3 = x/‐2
y = x/‐2 + 3
6, 3
x + 2y = ‐6
y = x/‐2 − 3
‐6, ‐3
B Rhombus
5
4
3
2
x 1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
-1
-2
-3
-4 y
C 36 square units
D ‐6, 12, 3120
EP Math Pre-Algebra Workbook Answers
D[y 122 Solving Systems of Linear …
C
(0, 2) (‐2, 0)
2
-2
(‐1, 1) (3, 2)
21
-1 3
(0, ‐1) (2, ‐3)
2-1
-3
D[y 122 Practice
A True, False, False
B
(1, ‐1) (3, ‐1)
1 3-1 -1
(1, 4) (3, ‐4)
4
1 3
D[y 122 Practice (Continued)
(‐2, 1) (3, 3)
1-2
(0, ‐1) (‐1, ‐1)
-1-1 -1
D[y 123 Solving Systems of Linear …
C (2, 1) (‐3, 4)
(3, ‐1) (0, 5)
(6, 2) (‐1, 7)
D[y 123 Practice
A (4, 2) (4, 0)
(3, 5) (‐3, ‐4)
(2, ‐6) (‐1, 1)
(5, ‐7) (3, 9)
(‐8, 4) (‐2, ‐5)
(9, 7) (5, ‐10)
D[y 124 Number of Solutions to …
C None One (2, 1)
One (4, 3) Infinite
One (‐3, 0) None
D[y 124 Practice
A The first and last systems.
B One (1, 5) None
None One (‐1, 2)
One (2, ‐3) Infinite
One (‐7, ‐1) None
Infinite One (9, 8)
EP Math Pre-Algebra Workbook Answers
D[y 125 Solving Systems of Linear …
A Incorrect. It is not a solution to x −3y + 5 = 0.
B (3, 2) None (1, ‐1)
Infinite (2, 4) (‐4, 3)
C (4, ‐5) (2, 7)
(6, ‐4) None
Infinite (‐3, 5)
D[y 125 Practice
A (0, 3) (2, ‐1) None
None (1, ‐4) Infinite
B (5, 0) (4, ‐6)
None (‐2, ‐3)
(1, 9) Infinite
None (‐7, 5)
D[y 126 Catch up and Review!
B (2, 1)
4
1-2 2
(3, 4)
Infinitely many solutions
(2, ‐5)
D[y 126 Practice
A The second and third systems.
B The second system.
C The first and last systems.
D The second and last systems.
E (1, ‐3) None
(‐2, 4) Infinite
(1, 5) (‐4, ‐2)
D[y 127 Writing Linear Equations …
C y = ‐x + 3 y = 2x − 3 y = (‐1/2)x + 1
y = (3/4)x − 1 y = ‐x − 1 y = 4x
y = ‐2x + 2 y = (2/3)x − 2 y = (5/3)x – 2
D[y 127 Practice
A y = x + 2 y = (‐2/3)x − 2 y = (1/4)x − 1
y = ‐2x – 1 y = x − 3 y = (‐1/2)x
y = (3/2)x − 2 y = (‐1/3)x ‐ 2 y = 3x + 2
y = ‐x + 2 y = 4x ‐ 4 y = (1/2)x + 3
D[y 128 Writing Linear Equations …
C y = x − 8 y = ‐5x − 6
y = ‐2x − 7 y = 3x + 13
y = ‐3x + 11 y = 4x − 15
y = (1/2)x − 9 y = (‐4/5)x − 1
y = (‐1/3)x + 6 y = (3/2)x − 10
D[y 128 Practice
A y = 3x − 8 y = ‐4x + 13
y = 7x − 12 y = 5x − 16
y = ‐2x − 10 y = ‐3x + 12
y = (1/3)x − 7 y = (1/2)x − 6
y = (‐1/4)x + 2 y = (5/4)x − 5
y = (‐2/5)x + 8 y = (‐3/2)x − 1
y = (3/7)x + 5 y = (1/5)x − 8
D[y 129 Writing Linear Equations …
C y = 2x + 1 y = 4x − 5
y = ‐x + 3 y = (1/2)x − 1
y = (1/4)x + 2 y = 9x − 11
y = 7x + 5 y = (3/4)x + 9
D[y 129 Practice
A y = 3x + 2 y = ‐2x + 6
y = (‐1/2)x + 3 y = ‐4x + 8
y = 4x − 1 y = (3/2)x + 5
y = ‐3x + 4 y = 5x − 12
y = 2x + 10 y = (‐2/7)x + 15
B y = 2x + 10
y = ‐3x + 1
D[y 130 Slope-Intercept Word …
B y = 15x + 30 $210
y = 9x + 15 $42
y = 2.5x + 6.99 $36.99
y = ‐9x + 240 132 gallons
EP Math Pre-Algebra Workbook Answers
D[y 130 Practice
A y = 38x + 40 $154
y = 25x + 18 $193
y = ‐30x + 750 570 feet
y =2500x + 2800 $15,300
B y = 18x + 50 $266
y = 2x + 8 $44
D[y 131 Systems of Linear Equations …
C x = # of dimes
y = # of nickels
x + y = 17
0.1x + 0.05y = 1.3
Max has 9 dimes and 8 nickels.
x = what Leah paid
y = what Vicky paid
x + y = 550
x = 70 + y
Leah paid $310, and Vicky paid $240.
x = Max’s age
y = Dale’s age
x = y – 5
2(x – 5) = y − 5
Max is 10 years old, and Dale is 15 years old.
x = $ of an apple
x = $ of a pear
5x + 4y = 9.2
3x + 2y = 5
An apple costs $0.80, and a pear costs $1.30.
D[y 131 Practice
A x = # of fives
y = # of tens
x + y = 27
5x + 10y = 205
Mr. Kim has 13 fives and 14 tens.
x = # of roses
y = # of lilies
x + y = 24
2.2x + 1.8y = 48
Josh used 12 roses and 12 lilies.
x = # of adults
y = # of children
x + y = 10
9.5x + 7y = 80
There were 4 adults and 6 children in the group.
x = $ of a muffin
y = $ of a cookie
6x + 3y = 10.2
3x + 12y = 11.4
A muffin costs $1.40, and a cookie costs $0.60.
x = # of nickels
y = # of quarters
x = y + 5
0.5x + 0.25y = 8.5
Lynn has 13 nickels and 8 quarters.
x = Joey’s age
y = Anna’s age
x = 3y
x + 10 = y + 20
Joey is 15 years old, and Anna is 5 years old.
x = tens digit
y = ones digit
x + y = 5
10x + y – 9 = 10y + x
The number is 32.
D[y 132 Catch up and review!
B y = ‐3x + 1
y = 5x + ‐7
y = (‐1/2)x + 4
y = 1.6x + 5 $29
x = # of dimes
y = # of nickels
y = 3x
0.1x + 0.05y = 2
Mia has 8 dimes and 24 nickels.
D[y 132 Practice
A y = (1/2)x y = ‐2x − 1 y = (‐2/3)x + 1
B y = 4x − 3 y = ‐3x + 6
C y = 2x − 4 y = (1/3)x + 2
D 4, 8
2, 9
7, 15
10, 20
D[y 133 Relations, Functions, and …
D The first, second, and last relations.
E 4 10 ‐6
30 3 ‐1
D[y 133 Practice
A The first, third, and fourth relations.
B ‐23 2 8
13 3 20
C 3 ‐11
4 & 10 2 & ‐2
D 24 1 5/18
7 13 5 & 9
D[y 134 Domain and Range of …
A y = 2x − 3 y = (1/3)x − 4 y = ‐3x + 2
B 15, 10, 5 y = ‐5x + 20
Yes
C {0, 1, 2, 3, 4} {0, 5, 10, 15, 20}
D ‐6, ‐4, ‐3, ‐2, 0
{‐3, ‐1, 0, 1, 3}
{‐6, ‐4, ‐3, ‐2, 0}
3, 2, 1, 0, ‐1
{0, 2, 4, 6, 8}
{‐1, 0, 1, 2, 3}
E {0, 1, 2, 3}
{1, 2, 3}
Yes
{‐1, 0, 1}
{‐2, ‐1, 0, 1}
No
EP Math Pre-Algebra Workbook Answers
D[y 134 Practice
A 2, 1, 0, ‐1, ‐2
{3, 4, 5, 6, 7}
{‐1, ‐2, 0, 1, 2}
‐5, ‐2, 1, 4, 7
{‐1, 0, 1, 2, 3}
{‐5, ‐2, 1, 4, 7}
B {‐2, ‐1, 0, 1}
{‐2, ‐1, 1}
Yes
{‐3, ‐2, ‐1}
{1, 2, 3}
No
{0, 1, 2, 3}
{‐3, ‐2, ‐1, 0}
Yes
{‐1, 0, 1, 2}
{‐1, 1}
Yes
C 3, 9, 15, 21, 27
y = 3x
{1, 3, 5, 7, 9}
{3, 9, 15, 21, 27}
16, 14, 10, 4, 2
y = ‐2x + 20
{2, 3, 5, 8, 9}
{2, 4, 10, 14, 16}
D[y 135 Discrete and Continuous …
C ‐3 ≤ x ≤ 2
‐3 ≤ y ≤ 0
Continuous
{‐1, 0, 2}
{‐1, 1, 2}
Discrete
D f(x) = 5x g(x) = 7.5x
h(x) = 60x + 80 k(x) = ‐4x + 150
E Continuous, Discrete, Discrete, Continuous
D[y 135 Practice
A ‐3 ≤ x ≤ 1
1 ≤ y ≤ 3
Continuous
{1, 2, 3}
{‐2, ‐1}
Discrete
B Discrete Continuous
Continuous Discrete
Continuous Continuous
C f(x) = (1/3)x g(x) = (π + 2)x
h(x) = 1.5x + 5 k(x) = ‐0.8x + 24
D Continuous, Continuous, Continuous, Discrete
E {1, 2, 3} {10.28, 25.7, 51.4}
{12.5, 20, 35} {19.2, 14.4, 4.8}
D[y 136 Linear and Nonlinear …
B Linear Nonlinear Nonlinear Linear
C Linear Linear Nonlinear
Nonlinear Linear Linear
D Linear Nonlinear Linear Linear
D[y 136 Practice
A Linear Nonlinear Linear Nonlinear
B Linear Nonlinear Linear
Nonlinear Linear Linear
C Linear Linear
Nonlinear Linear
D y = (1/2)x2
Nonlinear
y = ‐1.2x + 20
Linear
D[y 137 Function Rules for …
C
x ‐2 ‐1 0 1 2 x 1 3 5 7 9
y 0 2 3 4 5 y ‐2 ‐8 ‐14 ‐20 ‐26
x ‐6 ‐4 ‐2 0 2 x 2 4 6 8 10
y 0 1 2 3 4 y 6 16 26 36 46
D Linear y = ‐x + 5
Nonlinear
Linear y = 4x + 2
D[y 137 Practice
A
x ‐1 0 1 2 3 x ‐5 ‐3 ‐1 0 1
y 3 1 ‐1 ‐3 ‐5 y ‐9 ‐7 ‐5 ‐4 ‐3
x ‐6 ‐3 0 3 6 x 1 3 5 7 9
y ‐7 ‐5 ‐3 ‐1 1 y 4 10 16 22 28
B Linear y = 2x
Linear y = 3x − 2
Nonlinear
Linear y = (‐1/2)x + 3
C y = 8x + 12
y = 5x + 7
EP Math Pre-Algebra Workbook Answers
D[y 138 Function Rules for Graphs
A
y = x y = (1/2)x + 1
1 -2
y = 3 y = 3x + 1
3
1
y = ‐x − 2 y = ‐2x
-2
-2
B y = ‐x + 1 y = 2x − 2 y = 4x
y = (‐1/2)x + 2 y = ‐1 y = (2/3)x − 2
D[y 138 Practice
A
y = ‐2 y = ‐x − 1
-1-1
-2
y = 2x y = 3x − 2
-2
D[y 138 Practice (Continued)
y = (‐1/3)x y = ‐4x + 1
1
B y = ‐x y = 1 y = (2/3)x − 2
y = ‐2x + 1 y = (1/2)x − 2 y = ‐3x + 4
D[y 139 Function Rules for …
C d = 7 36, 43 d = 3 8, 11
d = ‐5 ‐33, ‐38 d = ‐4 ‐18, ‐22
D 8, 10, 12, 14, 16, … ‐5, ‐13, ‐21, ‐29, ‐37, …
3, 0, ‐3, ‐6, ‐9, … ‐1, 3, 7, 11, 15, …
E 5n − 10 40 ‐2n + 11 ‐9
9n − 3 87 ‐6n + 2 ‐58
D[y 139 Practice
A d = 7 41, 48 d = 3 16, 19
d = ‐2 ‐14, ‐16 d = ‐6 ‐23, ‐29
B 2, ‐3, ‐8, ‐13, ‐18, … ‐9, ‐12, ‐15, ‐18, ‐21, …
‐1, 3, 7, 11, 15, … 5, 14, 23, 32, 41, …
C 5n − 8 42 ‐7n + 10 ‐60
‐4n + 12 ‐28 6n − 8 52
D a1 = 3, d =4, x = 9
a1 = 5, d = 3, x = 13
a1 = 20, d = ‐5, x = 15
D[y 140 Direct variation
D
F No k = 5
k = 2/3 No k = ‐1
G y = ‐x y = 0.3x
y = 2x y = (7/10)x
EP Math Pre-Algebra Workbook Answers
D[y 140 Practice
A k = 2 No k = ‐3/4 No
B y = (1/2)x y = 5x
y = (1/6)x No
C y = ‐4x No No y = (3/2)x
D y = 3x
y = 5.5x
y = 18x
D[y 141 Catch up and Review!
B Not a function.
Input 2 has two outputs, 5 and 6.
D = {‐4, ‐1, 0, 2} R = {‐2, 3, 5, 6}
Linear y = ‐x + 2
y = ‐2x + 3
nth term = 3n − 1 10th term = 29
y = 2.54x
D[y 141 Practice
A Linear y = 3x − 1
Linear y = (‐2/3)x
Nonlinear
B y = x − 2 y = ‐2x + 1 y = (1/4)x − 1
C 2n + 4 24 4n − 19 21
‐3n + 12 ‐18 ‐7n + 40 ‐30
D y = ‐6x y = (1/5)x
D[y 142 Catch up and Review!
B False, True, True, False, True
True, True, False, False, True
True, False, True, False, False
True, True, False, True, True, True
D[y 142 Practice
A x = 3 x = 4 x = ‐5
x = ‐1 x = ‐5.75 x = ‐2 2/5
B x > 14 x ≥ ‐15 x > ‐1
x > 2 x ≤ 3 1/2 x ≤ ‐3
C 6 feet
9 pencils
4 cm, 9 cm
5 cm
D[y 143 Financial Literacy: …
D P: r: t: I: B:
$130 2% 5 $13 $143
$260 5% 4.5 $58.5 $318.5
$500 6% 2.5 $75 $575
$1,210 4% 5 $242 $1452
$3,200 3.5% 7 $784 $3984
$8,000 7.25% 2 $1160 $9160
E $750
4%
About 4.2 years
D[y 143 Practice
A P: r: t: I: B:
$550 2.8% 5 $77 $627
$300 5% 3 $45 $345
$620 3% 4 $74.4 $694.4
$400 6% 2.5 $60 $460
$740 2.25% 4 $66.6 $806.6
$800 2% 2 $32 $832
$1,900 3% 5 $285 $2185
$6,000 6% 3 $1080 $7080
B $720
$360
12%
5 years
$24,120
Mason
D[y 144 Financial Literacy: …
D 3% annual simple interest:
t: P: I: B:
2 $100 $3 $106
3 $100 $3 $109
4 $100 $3 $112
5 $100 $3 $115
3% annual compound interest:
t: P: I: B:
2 $103 $3.09 $106.09
3 $106.09 $3.18 $109.27
4 $109.27 $3.28 $112.55
5 $112.55 $3.38 $115.93
EP Math Pre-Algebra Workbook Answers
D[y 144 Practice
A 5% annual simple interest:
t: P: I: B:
2 $500 $20 $540
3 $500 $20 $560
4 $500 $20 $580
5 $500 $20 $600
5% annual compound interest:
t: P: I: B:
2 $520 $20.8 $540.8
3 $540.8 $21.63 $562.43
4 $562.43 $22.5 $584.93
5 $584.93 $23.4 $608.33
B $5,520.40 $6,094.97
$7,429.74 $2,429.74
C $800
Account B
$3,951.57
D[y 145 Financial Literacy: …
B Before
payment:
Interest
charged:
After
interest:
After
payment:
$1,817.88 $18.18 $599.94 $1,217.94
$1,217.94 $12.18 $605.94 $612.00
$612.00 $6.12 $612.00 $0.00
D $12,000
60 months
$13,260
$1,260
D[y 145 Practice
A Before
payment:
Interest
charged:
After
interest:
After
payment:
$4,187.26 $41.87 $820.87 $3,366.39
$3,366.39 $33.66 $829.08 $2,537.31
$2,537.31 $25.37 $837.37 $1,699.94
$1,699.94 $17.00 $845.74 $854.20
$854.20 $8.54 $854.20 $0.00
B $176.44 or $176.45
D $26.34 $99.24
D[y 146 Financial Literacy: …
E 216 5/16 Car pay… 95.80 1,341.86
5/19 Paycheck 520.10 1,861.96
D[y 146 Practice
A 6/3 820.00
6/8 Paycheck 1,800 2,620.00
115 6/10 Rent 124.25 2,495.75
6/15 Transfer 1,000 1,495.75
6/19 ATM 200 1,295.75
6/22 Paycheck 1,800 3,095.75
116 6/27 Car pay… 765 2,330.75
6/30 Clothing 46.28 2,284.47
D[y 147 Financial Literacy: …
D $2.11
$40.11
D[y 147 Practice
B $133.53
$187.56
$1.88
$215.68
$1.50
$23.50
$1.19
$22.31
D[y 148 Financial Literacy: …
C 80 hours
$2,400
$1,168.40
2 weeks
6.2%
22%
10%
D[y 148 Practice
A 85 hours
$30
$45
$2,625.00
$1,292.94
2 weeks
$4,798.14
10%
$162.75
$577.50
$131.25
EP Math Pre-Algebra Workbook Answers
D[y 149 Test Preparation Tips
There are no answer keys for these activities.
D[y 150 Test Taking Tips
There are no answer keys for these activities.
D[y 151 Review: Factors and Multiples
B 1, 2, 3, 4, 6, 12 1, 2, 3, 5, 6, 10, 15, 30
C 4, 8, 12, 16, 20 25, 50, 75, 100, 125
D 3, 5, 9 2, 4, 5, 10
E 25 2 x 3 x 7
32 x 7 2 x 32 x 5
F GCF = 3, LCM = 36 GCF = 9, LCM = 108
GCF = 5, LCM = 60 GCF = 24, LCM = 144
D[y 151 Practice
A 1, 2, 3, 6, 9, 18 1, 2, 3, 4, 6, 8, 12, 24
1, 2, 4, 5, 10, 20 1, 2, 4, 7, 8, 14, 28, 56
B 5, 15, 20, 25, 30 12, 24, 36, 48, 60
9, 18, 27, 36, 45 32, 64, 96, 128, 160
C 2, 3, 4, 6, 9 3, 5, 9
2, 3, 4, 6 2, 4, 5, 10
D 22 x 32 22 x 3 x 5
32 x 5 7 x 11
E GCF = 4, LCM = 48 GCF = 15, LCM = 75
GCF = 14, LCM = 84 GCF = 16, LCM = 96
GCF = 15, LCM = 90 GCF = 27, LCM = 162
D[y 152 Review: Number Properties
B (48 + 32) + 25 = 80 + 25 = 105
(17 + 23) + (6 + 34) = 40 + 40 = 80
(2 x 5) x (3 x 7) = 10 x 21 = 210
(8 x 9) x (2 x 5) = 72 x 10 = 720
C 7 x (50 + 8) = (7 x 50) + (7 x 8) = 406
(40 + 3) x 9 = (40 x 9) + (2 x 9) = 378
5 x (70 + 6) = (5 x 70) + (5 x 6) = 380
D 32 49
17 13
28 75
19 14
D[y 152 Practice
A Answers will vary.
B (26 + 14) + 58 = 40 + 58 = 98
(11 + 19) + (2 + 38) = 30 + 40 = 70
(2 x 5) x (3 x 9) = 10 x 27 = 270
(7 x 6) x (5 x 2) = 42 x 10 = 420
C (20 + 7) x 5 = (20 x 5) + (7 x 5) = 135
9 x (50 + 9) = (9 x 50) + (9 x 9) = 531
(40 + 8) x 6 = (40 x 6) + (8 x 6) = 288
7 x (60 + 4) = (7 x 60) + (7 x 4) = 448
D 11 6
8 44
9 19
D[y 153 Review: Integers
A ‐150 +10
+200 ‐14
B 3 ‐9 ‐23
‐56 ‐1 21
12 ‐63 6
C ‐5 18
23 ‐10
‐31 ‐11
D B (0, 3)
A (‐2, 1)
C (3, ‐2)
D (‐2, ‐2)
D[y 153 Practice
A +170 ‐4
+210 ‐18
B ‐8, ‐2, 0, 2, |‐7|, |‐9| ‐15, ‐9, ‐1, 3, |‐9|, |‐11|
C 12 ‐20 3
‐5 ‐7 18
‐12 ‐11 ‐45
C 7 1
23 4
‐54 ‐3
41 58
D B (3, 0)
A (‐3, 1)
C (1, ‐2)
D (1, 2)
EP Math Pre-Algebra Workbook Answers
D[y 154 Review: Fractions
A 10 8 10 5
B 3/5 3/4 5/9 2/5
C < > > =
D 0.5 1 0 1
E 1 1/2 1
1 3 1/2
6 1/2 2
D[y 154 Practice
A 2 21 3 7
B 3/5 5/7 3/8 5/9
C < > = <
D 1 1/2 0 1/2
E 1/2 1
2 1/2 1 1/2
5 2
F ≈ 4 cups
≈ 3 feet
D[y 155 Review: Operations with …
B 1 2/5
1/3 1 1/9
1 5/12 1/12
13/30 9 1/3
1 5/14 1/15
C 3 1/2 2/9
1 1/6 2 1/10
D[y 155 Practice
A 1 2/3 1/6
1/2 2 2/3
1 2/9 3/7
3/10 4 1/2
1 3/8 1/12
11/20 3/5
5/21 1/15
B 6 1/7
3 1/8 1 9/16
D[y 156 Review: Operations with …
A 21/5 18/7 6 5/6 6 3/4
B 8 2/3 1 2/3
1 2/3 4/5
1 2/5 1 1/7
6 7/18 4 1/8
4 1/4 8
9 5/6 1 1/6
5 7/9 3 2/5
D[y 156 Practice
A 7/2 19/8 23/4 47/6
B 2 2/7 7 4/5 8 2/3 5 5/9
C 9 1/5 4 1/2
6 1/2 4
2 5/9 3 3/4
7 5/12 4/9
3 1/6 5 1/2
17/24 3 1/2
2 7/10 2 17/30
D[y 157 Review: Decimals
B 0.04 12.9
0.015 0.436
C 0.001, 0.01, 0.011, 0.1 2.04, 2.14, 2.4, 2.401
D 3 3.3 3.26 3.256
15 15.1 15.09 15.094
428 428.2 428.21 428.209
E 0.75 0.6 0.55 0.34
F 3/5 1/4 16/25 1 9/20
D[y 157 Practice
A 0.15 0.108
315.527
B 0.08, 0.085, 0.8, 0.85 5.06, 5.6, 6.005, 6.05
C 7 7 7.04 7.035
25 24.9 24.9 24.902
150 149.7 149.74 149.735
D 0.8 0.3 0.7 0.16
0.2 0.625 0.05 0.26
E 4/5 3/4 11/50 1 3/8
3/10 9/25 17/20 3 21/40
EP Math Pre-Algebra Workbook Answers
D[y 158 Review: Operations with …
B 7.38 24.86
5.845 ‐3.87
‐1.17 ‐115.26
‐10.552 0.147
1.805 4.6
‐7.115 ‐0.9
3.172 ‐2.75
‐3.38 483
D[y 158 Practice
A 17.65 227.2
‐8.736 9.6
‐9.166 ‐213.36
‐26.43 ‐11.8
‐1.883 ‐3.33
1.583 0.999
‐21.96 ‐20.2
5.804 9.8
B $6.91
$11.82
D[y 159 Review: Percents
B 0.26 13/50
0.35 7/20
1.04 1 1/25
2.6 2 3/5
C 1.5 33 520.3
D 60%
increase
25%
decrease
250%
increase
E $45.60
$50.88
$612
$2,970
D[y 159 Practice
A 0.2 1/5
0.55 11/20
1.18 1 9/50
2.84 2 21/25
B 5.6 60 810
C 20%
decrease
35%
decrease
140%
increase
D[y 159 Practice (Continued)
D $64.90
$1.68
$51
$28.50
$41.34
$23.60
$61.20
D[y 160 Review: Perimeter and Area
B 6.6 cm 25.12 in 28 m
C 12 ft2 1.08 yd2 113.04 m2
37.5 in2 1.96 m2 0.7 ft2
D 56.52 ft
169.56 ft2
62.8 in
257 in2
D[y 160 Practice
A 31.4 cm 10.4 ft 48 in
B 7.29 cm2 13.5 in2 8.51 ft2
200.96 in2 33 ft2 96 m2
C 40 cm2 144 in2
10.26 ft2 42.84 m2
D[y 161 Review: Surface Area of Solids
B 294 cm2 606 ft2
480 in2 156 cm2
156 in2 299.2 in2
276.32 ft2 43.96 m2
D[y 161 Practice
A 216 m2 142 m2
72 cm2 600 in2
95 in2 225 ft2
244.92 m2 204.1 cm2
114 in2 452.16 ft2
D[y 162 Review: Volume of Solids
B 343 cm3 945 ft3
420 in3 120 cm3
73.5 cm3 360 in3
351.68 ft3 125.6 in3
EP Math Pre-Algebra Workbook Answers
D[y 162 Practice
A 216 m3 105 m3
30 cm3 924 in3
56 cm3 64 m3
706.5 m3 753.6 m3
84 in3 715.92 m3
D[y 163 Review: Angles, Symmetry, …
B 21 17 16
9 114 11
C Lines = 2
Order = 2
Lines = 0
Order = None
Lines = 2
Order = 2
Lines = 1
Order = None
Lines = 2
Order = 2
Lines = 5
Order = 5
D x = 10, y = 6 x = 12, y = 10
x = 1, y = 0.8 x = 15, y = 5
D[y 163 Practice
A ∠3 ∠7 ∠1, ∠3, ∠7
B 15 9 65
18 29 18
C Lines = 1
Order = None
Lines = 4
Order = 4
Lines = 0
Order = None
Lines = 1
Order = None
Lines = 0
Order = 2
Lines = 6
Order = 6
D x = 6, y = 10 x = 24, y = 8
x = 10, y = 8 x = 12, y = 10
D[y 164 Review: Data Analysis
B Mean Median Mode
1st data set: 4.8 4.5 2
2nd data set: 2.8 2.7 2.6
C 1st data set: 0, 2, 4, 6, 7
2nd data set: 3, 5, 6, 8, 10
D[y 164 Review: Data … (Continued)
D Cookies
15%
10 students
E Bar graph
Line graph
Circle graph
D[y 164 Practice
A Mean Median Mode
Top left: 3.9 4.5 2, 5
Top right: 3 3.1 No mode
Bottom left: 14 14 15
Bottom right: 4.66 5.14 5.14
B 1st data set: 3, 4, 6, 8, 9
2nd data set: 8, 9, 10, 12, 14
C 75 mm
June
January, February
D Line graph
Scatter plot
Bar graph
Circle graph
D[y 165 Review: Measurement
A 1,200 mg 8,300 cm 0.04 kL
0.027 L 51,000 g 900 mm
B 7 ft 16 qt
792 ft 59 yd
14 lb 32 gal
C About 20 cm About 20 mi
About 68L About 7 oz
7 0 1 2 8
3 4 5 6
9 2 3 4 10
5 6 7 8
92 3 4 10
5 6 7 8
158 9 10 1611 12 13 14
EP Math Pre-Algebra Workbook Answers
D[y 165 Practice
A 0.034 km 0.066 kg 270 mL
80,000 mL 1.5 m 2.09 kg
B 24 oz 2,112 ft
228 in 36 c
5.5 lb 25.5 ft
C About 1,135 g About 800 mL
About 330 in About 12.5 gal
D 28 km
5 cups
Laura’s
D[y 166 Review: Expressions, …
B 11 25
10 32
C 5x + 10
6x − 14
8x + 30
‐7x − 7y
D k ≤ 4 k > ‐3 ‐4 < k ≤ 8
E b − 5 = 8 d + 3 ≤ 7
8m = 9 q/3 ≤ 2
5k + 6 = 12 2n + 4 > 6
D[y 166 Practice
A 4 ‐24
8 20
B 4x − 5
10x + 1
7x +22
4x + 5y
4x – 2y + 12
C m > 2 m ≥ ‐1 ‐5 < m ≤ 10
D u + 7 = 6 3p = 15
2w – 5 = 9 8 + m/3 = 7
E 12 > y − 8 5p ≤ 4
w + 6 ≥ 15 10 < 2z + 3
D[y 167 Review: Ratios, Rates, and …
B 2:5 5/9 4 to 7
C $18/hour 25 miles/gallon
D x = 9 x = 20
x = 5 x = 35
D[y 167 Review: Ratios, … (Continued)
E 20 feet
63 km
$25
900 km
D[y 167 Practice
A 2/3 4:9 5 to 4
B $5.90/pound 22 points/game
68 miles/hour 2 1/2 inches/hour
C x = 7 x = 25
x = 8 x = 60
D 5.4 feet
108 miles
91.44 cm
$25
$1,760
D[y 168 Review: Linear Equations, …
B
y = x + 2 2x + 3y = 6
2
-2
y > 2x
C y = 4x + 3
y = ‐2x + 5
y = (2/3)x − 2
y = ‐3x + 1
D y = 3x y = ‐2x + 1
E 2n + 1 21 ‐4n + 13 ‐27
EP Math Pre-Algebra Workbook Answers
D[y 168 Practice
A
y = (3/4)x − 1 2x + y ≤ 1
1
-1
y < 1
1
B y = ‐2x
y = 3x − 4
y = (‐1/2)x + 3
y = ‐x + 5
y = (1/4)x − 5
C ‐1 5 4
D y = x + 5 y = ‐3x + 5
E 3n + 2 32 ‐5n + 26 ‐24
D[y 169 Review: Sets and Counting
B {1, 2, 3, 4, 6} {2, 6}
{1, 3} {1, 2, 3, 5, 6}
C {}, {1}, {2}, {4}, {1, 2}, {1, 4}, {2, 4}, {1, 2, 4}
D 6, 42, 20, 125
E Permutation, 24
Combination, 70
Combination, 455
Permutation, 6840
D[y 169 Practice
A A ∪ B B − A
D[y 169 Practice (Continued)
A BC − A (A ∩ B)C
B {5, 6} {1, 5, 6}
{1} {1, 2, 3, 4, 6}
C {}, {3}, {5}, {3, 5}
D 5, 52, 12, 60
E Combination, 120
Permutation, 120
Permutation, 360
Combination, 435
Permutation, 2730
D[y 170 Review: Square Roots
B 5 0.1 2
9 0.6 ‐4
11 1.4 8
C 4 9
7 10
D 3.3 6.5
4.6 8.1
E 2√5 7√6
6√7 ‐2√3
4/7 6√2
D[y 170 Practice
A 6 0.2 3
13 0.7 5
15 1.1 ‐6
B 5 9
8 11
C 3.6 8.2
5.9 9.1
D 3√2 6√3
6√6 ‐√7
8√5 2√2
3/8 ‐4√3
1 2/3 6√5
A B BA
A B A B
EP Math Pre-Algebra Workbook Answers
D[y 171 Review: Exponents
B 1 1/25 ‐1/64
‐8 81 1/10000
C 5x7 9/x4
28/x8 ‐8x11
4x3 36/x10
D 13,000 4.2 × 107
0.000058 7 × 10‐11
E 2.1 × 106 1.4 × 10‐4
6 × 103 3 × 10‐6
D[y 171 Practice
A ‐27 16 ‐1/125
196 1/16 1/100
B 2x5 36/x6
‐21x6 4x11
6/x7 3x4
4/x13 49x12
C 6,400 2.8 × 104
0.00003 9.1 × 106
0.0000052 4.07 × 10‐7
D 4.8 × 1010 3.6 × 10‐2
3 × 104 6 × 10‐8
8 × 109 7 × 103
D[y 172 Review: Triangles, …
B Acute
equilateral
Obtuse
scalene
Right
Isosceles
C Rectangle, Square
Rhombus, Square, Kite
Trapezoid, Kite
D 17 15
21 220
E 5 5
D[y 172 Practice
A Acute
isosceles
Right
scalene
Obtuse
scalene
B Rhombus, Square
Rectangle, Square
Parallelogram, Rhombus
D[y 172 Practice (Continued)
C O O
O
O
O
O
D 92 7
13 155
E 10 5√3
D[y 173 Review: Transformations
B
C (5, 0) (‐5, 0)
(‐2, 0) (2, 0)
(‐8, 4) (‐4, 2)
(15, ‐6) (6, ‐1)
(‐9, ‐6) (‐6, ‐4)
(3, ‐2) (3, 2)
EP Math Pre-Algebra Workbook Answers
D[y 173 Practice
A
B (0, 3) (0, 9)
(‐5, 7) (5, 7)
(0, 9) (0, ‐9)
(‐3, 0) (3, ‐2)
(4, 8) (1, 2)
C (‐6, 9)
(5, ‐8)
Q2
2
D[y 174 Review: Statistics
B 1/2 1/3 1 0
C 1/36 1/4 1/6 1/9 5/12
D 25% 75% 50% 16% 80% 64%
D[y 174 Practice
A 2/3 1/3 1/6 2/3
B 25% 75% 75% 50%
C 1/60 3/5 3/5 1/10
D 0.1 0.4 0.25 0.45 0.55
D[y 175 Review: Systems of Linear …
B
(0, 2) (‐1, 1)
21
-1
C (2, 1) Infinite
None (‐3, 2)
D Oliva has 15 dimes.
Dale is 15 years old.
The bag costs $16.50.
D[y 175 Practice
B
(0, ‐1) (1, ‐1)
-1 2-1
-2
(‐2, 1) (3, 2)
4
1-2 2 -3
-2
B (‐1, 2) (2, ‐3)
None Infinite
C The numbers are 5 and 9.
A lemon costs $0.90.
Mr. Kim has 8 five‐dollar bills.
D[ys 176 ~ 180 Projects
There are no answer keys for these projects.