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Chapter Test
Name Class Date©
Pear
son
Educ
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n,In
c.,p
ublis
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asPe
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All
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Chapter 3
Evaluate each expression using the values w ≠ 4, a ≠ 2, and h ≠ 5.
1. w ! a 2. h ! 2w
3. w ! a 4. 6w ! 2a
5. 3(h ! w) 6. 5w + 2a
Solve each equation.
7. x ! 8 " 13 8. m # 9 " 21
9. 5a " 55 10. 9y " 81
11. ! 2 " #13 12. 16 ! 2n " 10
Write an equation for each problem. Solve the equation.
13. The math club made a total of $1,155 14. A youth baseball league recentlyfrom selling 210 T-shirts. How much did completed registration. The league wasthey sell each T-shirt for? able to form 15 teams of 11 players each.
How many players registered?
y23
Chapter Test Form A
6 13
2 28
27 24
x ! 5 m ! 30
a ! 11 y ! 9
y ! 45
Sample answer: 210p ! 1,155; $5.50 Sample answer: p ! 11 ! 15; 165 players
n ! "3
Chapter 3Accelerated Grade 7
Chapter Test
Name Class Date
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.
"6.5d " 3.7
z ! 6
k ! 4
d ! 8 v ! 10
x ! 6
t ! "3
31e # 11
Chapter 3
Simplify each expression.
15. 3t ! 1.7 ! 2.8 ! 5t 16. #6j ! 4 ! 2j # 1
17. 2(4 ! k) ! 3k 18.
19. #4.3d # (2.2d ! 3.7) 20. 18 ! 3e ! 7(4e # 1)
Solve each equation.
21. 5(7z # 5) " 185 22. #4(5t ! 7) " 32
23. 8(6k ! 3) " 216 24. 3x " 6(2x # 3) " 72
25. 7d # 4(d ! 8) " #8 26. #6v # 6(#2v # 4) " 84
27. 4 ! 4d " 3d # 8 28. #5n ! 6 " 5n # 4
29. 6( # 4) " 21 ! 6x
30. # 6 " 3(n # 2)
31. 2(3y ! ) " 6y !
32. x # 1 " (5x + 3)
2n5
43
163
12
34
x2
£2 15 1 10 ≥2 4
5
Chapter Test (continued) Form A
5k # 8 425
8t # 4.5 "4j # 3
" 8f
d ! "12 n ! 1
x ! "15
no solution
one solution
f
Chapter Accelerated Grade 7 3
one solution
Name Class Date ©
Pea
rson
Edu
catio
n, In
c., p
ublis
hing
as
Pear
son
Pren
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Hal
l.A
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res
erve
d.
Chapter Test Form AChapter
1. There are 14 boys and 16 girls in a class. Write the ratio of boysto girls in simplest form.
Determine whether the ratios in each pair are proportional. If so, find the constant of proportionality.
2. 1 : 10; 2 : 5 3. 4 to 7; 28 to 49 4.
5. Which is a better buy, 6 apples for $1.74 or 5 apples for $1.20?Why?
Write the unit rate for each situation.
6. bike 21 km in 50 min
7. earn $18 for 1 hr 15 min work
8. sew 9 curtain panels in 15 days
9. Wyatt spent of his money on a train set and of his money on tickets to aplay. He now has $18. How much money did Wyatt start with?Explain why you chose the method you did.
Write each ratio in two other ways.
10. 11. 8 to 3 12. 12 : 15
Solve each proportion.
13. 14. 15.
16. Alonso can jog 2 miles in 16 minutes. Is it reasonable to assumethat it will take him 24 minutes to jog 3 miles? Explain.
10025 5 t
46.1x 5 2
3n6 5 25
30
59
12
14
619; 25
7 : 8
no yes; 7 no
5 apples for $1.20; the unit rate, $.24 ! $.29
0.42 km/min
$14.40/h or $.24/min
0.6 curtain panels per day
$72; sample answer: work backwards
5 to 9; 5 : 9
n ! 5 x ! 9.15 t ! 16
Yes; sample answer: the ratios form a proportion; 24 min3 mi 5 16 min
2 mi
8 : 3, 83 12 to 15; 1215
Chapter Accelerated Grade 7 5Chapter Test
Chapter Test
Name Class Date
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Chapter Test (continued) Form A
13 12 x y
5 10
4 in.
6 in.
Chapter
17. Find the unit price of a 16 oz can of juice that costs $1.59.
18. These triangles are similar. Find the values of x and y.
19. Taylor wants to enlarge the photograph shown below so that the longest sidemeasures 15 in. How wide will she need to make the photograph?
The scale of a map is 2.5 cm : 40 km. Find the actual distance for eachmap distance. Round your answer to the nearest tenth if necessary.
20. 15 cm 21. 4 cm 22. 21 cm
23. Find three consecutive even numbers that have a sum of 36.
24. Can you make two similar triangles using exactly 9 toothpicks? Ifso, explain how.
about $0.10/oz
x ! 26; y ! 24
10 in.
240 km 64 km 336 km
10, 12, 14
Yes. Use 3 toothpicks to make one triangle. Use 6 toothpicks to make
a second triangle with 2 toothpicks for each side.
Chapter Accelerated Grade 7 5
Name Class Date ©
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d.Name Class Date Name Class Date Name Class Date Name Class Date Name Class Date Name Class Date
Chapter Test
Name
Chapter Test Form A
Chapter
Write each decimal as a percent and write each percent as a decimal.
1. 4% 2. 0.6 3. 225%
4. 0.0032 5. 0.72% 6. 5.2
Write each fraction as a percent and each percent as a fraction.
7. 85% 8. 9. 6%
10. 11. 350% 12.
13. A bank account earns 2% simple interest per year. If the account was opened with $2,500, howmuch interest will it earn in 3 years?
14. A retirement fund earns 4% simple interest per year. The fund currently has $4,500 in it. Howmuch interest will it earn in 2 years?
Write a proportion and solve.
15. What percent of 80 is 42? 16. 80% of 70 is what number?
Write an equation for each question. Then solve the equation.
17. 63 is 25% of what number? 18. 20% of what number is 80?
19. What percent of 72 is 12? 20. 12% of 600 is what number?
85
38
35
0.04 60% 2.25
0.32% 0.0072 520%
60%
37.5% 160%
$150
$360
52.5% 56
63 ! 0.25x; x ! 252
1720
350
0.2x ! 80; x ! 400
72x ! 12; x ! 16.7% 0.12 * 600 ! x; x ! 72
3 12
6
Chapter 6Accelerated Grade 7
Chapter Test
Name Class Date
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Name Class Date Name Class Date Name Class Date
23. A big-screen TV that previously sold for$2,400 has been marked down to $2,040.What is the percent of decrease?
24. Since Todd received a 3% salary increase,his new yearly salary is $25,750. What washis yearly salary before the increase?
Chapter Test (continued) Form A
25. A manufacturer employs 294 part-time workers. This is 30% oftheir employees. What is their total employee count?
26. A book store is having a sale. All hardback books are 20% off, and all paperbacks are 10% off. Suppose you buy fourpaperbacks that originally cost $9 each and two hardbacks thatoriginally cost $20 each. What percent of the total cost have yousaved? Round to the nearest percent.
27. While visiting your cousin, who lives in another state, you buy asouvenir for $12.00. Upon entering the purchase price into thecash register, the sales clerk advises you that the total amountdue, including tax, is $12.72. What is the sales tax in this state?
28.
Chapter
Find each percent of change. Round to the nearest tenth. State whether thechange is an increase or decrease.
21. 758 to 604 22. 8.3 to 9.10
Solve.
20.3%; decrease
15%
980 employees
about 15%
6%
492 tickets
$25,000
9.6%; increase
6
Six-sevenths of the tickets to a local community’s group’s annualperformance were sold. If 82 tickets were left over, how manytickets were sold?
Chapter 6Accelerated Grade 7
Chapter Test Accelerated Grade 7 Chapter 7
Name Class Date©
Pear
son
Educ
atio
n,In
c.,p
ublis
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asPe
arso
nPr
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all.
All
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serv
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Chapter Test Form A
Chapter 7
Find each output for the function.
1. If y ! x3 " x2 .
a. x ! "4 b. x! 1 c. x ! "1
2. a. Make a table to find the amount of parts q that workers makein h hours. Use the equation q ! 25h # 50.
b. Is the relationship proportional ?
c. How many parts are produced in 12 hours ?
For Exercises 3-6, determine if the relationship is proportional. Identifyeach function as linear or nonlinear.
3. 4.
5. 6.
h 25h ! 501 75
2 100
3 125
4 150
5 175
y ! "80
no
350
y ! 0 y ! "2
yes; linear no; nonlinear
a b
10 20
15 25
20 40
25 45
; linear no; nonlinear
4
2
-2
-4
-4 -2O
y
x42
4
2
-2
-4
-4 -2 O
y
x42
x y
"4 "8
"2 "4
0 02 4
no
000200010271827601_CH07_p000-000.qxd 6/9/13 Page 36
Accelerated Grade 7 Chapter 7Chapter Test
Name Class Date
Chapter Test (continued) Form A
Chapter 7
a b
Sample answer: A car decreases in speed,
stays the same, then decreases again.
Sample answer: A car stays at 20 mph, then
increases, then stays at 49 mph.
c d
Match each function with its graph.
7. y ! "2x # 4 8. y ! "4x " 3
9. y ! " x # 4 10. y ! x " 3
11. Describe a situation that can be represented by each of thefollowing graphs.
a. b.
605040302010
5 1510time (s)
spee
d(m
i/h) 60
5040302010
5 1510time (s)
spee
d(m
i/h)
12
14
©Pe
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000200010271827601_CH07_p000-000.qxd 6/9/13 Page 37
©Pe
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.
x 2 5 12
y 5 12.5 30
x 1 3 4
y 4 12 16
y ! 3x + 1
Determine which function has the greater rate of change.
12. y ! 3x " 1
y ! 2x # 4
Name Class Date
Chapter Test (continued) Form A
Chapter 7
Chapter Test Accelerated Grade 7 Chapter 7
000200010271827601_CH07_p000-000.qxd 6/9/13 Page 38
Chapter Test Chapter 8
Name Class Date ©
Pea
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Edu
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c., p
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Pear
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Pren
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Chapter Test Form A
Chapter 8
Which sample is more likely to be random? Explain.
1. A restaurant owner wants to know what the favorite dishes in his restaurant are.
a. He asks all the people who order the pasta special.
b. He asks every fourth customer who leaves the restaurant.
2. You want to survey movie-goers about their favorite types of movies.
a. You ask several people leaving the movie theater.
b. You ask several people coming out of a comedy.
3. The following are your scores on science tests.
86 80 91 86 95 100
a. Which is the most impressive representation of how well you are doing in class: the mean, themode, or the median of your scores? Explain.
b. Which is the most accurate? Explain.
Is each question biased or fair? Explain.
4. Would you prefer a vacation in pleasant, sunny Florida or in the barren wasteland of the Arctic?
5. Would you prefer going to the beach or going to the mountains?
This sample is more likely to be random.
People who order pasta do not represent all the tastes of customers. This sample is not random.
By asking every fourth customer, everyone in the restaurant has the same chance to be surveyed.
Sample answer: the mean; the mean, 89.66, is higher than the median, 88.5, or the mode, 86.
Sample answer: the mean of 89.66 averages the actual scores.
Biased, because the opinion is that Florida is nice and the Arctic is not.
Fair, because there is no opinion given.
toward comedies. This sample is not random.
By asking people leaving the theater, everyone in the theater has the same chance to be surveyed.
This sample is more likely to be random. People who were already watching a comedy may be biased
Accelerated Grade 7
Name Class Date
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Chapter 8
The table shows the number of miles traveled to work each day by a random sample of 16 employees at a company. Use the sample to make an inference about each measure. Support your answer.
8. The mean number of miles traveled by all employees at the company
9. The percent of employees who commute less than 40 miles
The data below shows the number of practice hours spent each weekof a random sample of viola and violin players.
Viola: 3, 6, 2, 4, 4, 3, 5, 5, 2, 8Violin: 3, 4, 5, 4, 3, 2, 4, 5, 4, 4
10. Compare the means of each data set, and use the comparison to draw an inference.
11. Determine the MAD of each data set.
Chapter Test (continued) Form A
Number of Miles Traveled
22 38 14 28
27 41 49 24
42 31 58 14
58 10 34 38
33; The average number of miles driven in the sample is 33, so the average number driven by all
employees is likely close to 33
68.75%; since the percent of the sample is 68.75%, the percent of the population is probably around that.
Viola ! 4.2; Violin ! 3.8; People who play viola practice more than people who play violin.
Viola ! 1.44; Violin ! 0.68
Use a proportion to estimate each population.
6. Total deer counted: 64Tagged deer counted: 24Total deer tagged: 46
7. Total birds counted: 146Tagged birds counted: 48Total birds tagged: 250
760 birds123 deer
Chapter Test Chapter 8Accelerated Grade 7
Chapter
Write an equation relating the measures of the two angles and find the angle measure.
1. 2.
In the diagram, ml3 ! 124.8". Find the measure of each angle.
3. !1 4. !2 5. !4
Find the area of each figure.
6. 7. 8.
9. 10. 11.
12 in.
5 in.
13 in.
8 ft
14 ft
4 ft 7 ft
20 m
5 m 6 m
3x ! 20"x
4x ! 10"2x
Name Class Date ©
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Chapter Test Form A
2x # (4x # 10") ! 180"; x ! 28 ";13
56 " and 123 "13
23
x # (3x # 20") ! 90"; x ! 17.5";
17.5" and 72.5"
1 234
l4 and l3 are supple-
mentary, so ml4 # ml3mentary, so ml1 # ml3
l2 and l3 are vertical
angles, so ml2 ! ml3;
l1 and l3 are supple-
! 180"; ml1 ! 55.2" ml2 ! 124.8" ! 180"; ml4 ! 55.2"
36 ft
12 ft 8 in. 4 in.10 in. 8 m
12 m
216 ft2 60 in.2 96 m2
30 in.2 44 ft2 100 m2
Chapter Test
10
Accelerated Grade 7 Chapter 10
Chapter
Use familiar figures to find the area of each figure.
12. 13. 14.
15. 16.
17. 18.
Name Class Date
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Chapter Test (continued) Form A
8 m
6 m
12 m
10 m16 ft
3 ft
22 ft
11 ft4 in.
6 in.
Chapter Test
8 ft20 m
88 m2 90 ft2 30.28 in.2
50.3 ft; 201.1 ft2 62.8 m; 314.2 m2
4 cm6 cm
25.1 cm; 50.3 cm2 37.7 cm; 113.1 cm2
Find the circumference and area of each circle. Round to the nearest tenth.
10
Accelerated Grade 7 Chapter 10
