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1 Which expression is equivalent to p2-49?
a (p-7)(p-7)
b (p-1)(p-49)
c (p-7)(p+7)
d (p+7)(p+7)
2 Which is the graph of the function g(x)=−1
3x2+x +6
3 The length of a rectangular garden is three times with width,
w. Farmer Robbins will increase both the length and the
width of his garden this year by 5 feet. Which equation
represents the new area, A, of his garden?
a w2+20w+10
b 3w+10
c 3w2+20w+25
d w2+10w+15
23 Internet Company A charges $5 a month plus $0.05 per
minute, x. Internet Company B charges $0.10 per minute,
but does not charge a start-up fee like Company A does.
Which function represents the difference in cost between
Company A and Company B?
a f(x) = 5x - 0.05
b f(x) = 5x + 0.05
c f(x) = 0.05x - 5
d f(x) = -0.05x + 5
24 Sara did an experiment to compare two methods of
cooling an object. The results are shown in the table
below.
Time (minutes) Method 1 Temp (Fahrenheit)
Method 2 Temp (Fahrenheit)
5 50 50
10 25 45
15 12.5 42
20 6.25 38
25 3.125 35
Which statement best describes her results?
a. The temperature using Method 1 changed exponentially.
b. The temperature using Method 1 changed at a constant rate.
c. The temperature using Method 2 changed exponentially.
d.The temperature using Method 2 changed at a constant rate.
© K. Mitchell (Mitchell’s Math Madhouse), 2012
Common Core Algebra I/Integrated I Practice EOC: Test #1
Please use this as you see fit for review as
a classroom tool
a homework packet
group work or
centers
I hope that you find it useful in your endeavors to
help your students be as successful as possible!
Questions #1-15 are calculator INACTIVE
Questions #16 – 50 are calculator ACTIVE
© K. Mitchell (Mitchell’s Math Madhouse), 2012
CALCULATOR INACTIVE
1 Kristi’s ride to school is 3 minutes more than ½ BriAnne’s travel time. Which graph
shows the possible times of Kristi’s and BriAnne’s rides to school?
2 Which situation is correctly modeled by the graph below:
a.The number of pounds of pecans,y, minus the number of walnuts, x, is at least 8
pounds. b.The number of pounds of pecans, y, minus the number of walnuts,x, is at most 8
pounds. c.The number of pounds of pecans, y, plus the number of walnuts, x, is at least 8 pounds. d.The number of pounds of pecans, y, plus the number of walnuts, x, is at most 8
pounds.
© K. Mitchell (Mitchell’s Math Madhouse), 2012
3 Which expression is equivalent to p2-49?
a (p-7)(p-7)
b (p-1)(p-49)
c (p-7)(p+7)
d (p+7)(p+7)
4 Which is the graph of the function g(x)=−1
3x2+x +6
5 The length of a rectangular garden is three times with width, w. Farmer Robbins
will increase both the length and the width of his garden this year by 5 feet. Which
equation represents the new area, A, of his garden?
a w2+20w+10
b 3w+10
c 3w2+20w+25
d w2+10w+15
© K. Mitchell (Mitchell’s Math Madhouse), 2012
Questions 6 through 15 are not multiple choice and require you to write your
answers on your answer sheet. Answers should include unit measurements when
appropriate.
6 Two students were racing home from school. Eric rides his skateboard and Robby
rides his bicycle. Eric leaves 40 seconds before Robby. Eric traveled at a speed of
10 feet per second. Robby traveled at a speed of 30 feet per second. For how many
seconds had Eric traveled when the both boys were the same distance from school?
7 The prom committee sells t-shirts to raise money for the prom. The profit from sales
of 80 short sleeve t-shirts and 100 long sleeve t-shirts is $320. Profit from sales of
80 short sleeve t-shirts and 75 long sleeve t-shirts is $270. How much profit do they
earn for each short sleeve t-shirt sale?
8 What is largest of three consecutive positive integers if the sum of the smaller two
integers is 11.
9 The function h(t)= -16t2+32t+128 represents the height of a cannon ball in feet t
seconds after it is shot from a cannon. How many seconds does it take the
cannonball to hit its target on the ground?
10 The sum of Elliot’s age and twice Zane’s age is 44. The difference of twice Elliot’s age
and Zane’s age is -2. What is Elliot’s age?
© K. Mitchell (Mitchell’s Math Madhouse), 2012
11 The function f(x) = 3(4)x was replaced with f(x) + k, resulting in the function seen on
the graph below. What is the value of k?
12 The function C(m) = 3m + 10 represents the cost to rent m movies a month from an
internet video club. Kimberly now has $8. How much more money will she need in order
to rent 8 movies this month?
13 The larger leg of a right triangle is 4in longer than the smaller leg. The hypotenuse is 8in
longer than the smaller leg. How many inches long in the smaller leg?
14 Beth and Doug are playing a game.
- Both Beth and Doug have 200 points.
- At the end of each turn, Beth’s points are doubled.
- At the end of each turn, Doug’s points are increased by 400.
At the start of which turn will Beth have more points than Doug?
15 Bart ran 15840 feet in 30 minutes. Rebecca ran 1 mile in 5 minutes. In miles per hour, how
much faster was Rebecca? (1 mile = 5280 feet)
© K. Mitchell (Mitchell’s Math Madhouse), 2012
THIS IS THE END OF THE CALCULATOR INACTIVE PART OF YOUR TEST!
PLEASE RAISE YOUR HAND SO YOUR TEACHER CAN PROVIDE YOU WITH A
CALCULATOR!
16 Which expression is equivalent to √64𝑎4𝑏23
?
a 4a4b2
b 4a3/4b3/2
c 64a4/3b2/3
d 4a4/3b2/3
17 An office purchases boxes of chocolates.
■ Each box contains 100 chocolate bears.
■ Each box costs $20.
How much does the office have to sell each chocolate bear to make a $15 profit on
each box?
a. $0.20
b. $0.35
c. $2.86
d. $5.00
18 Force and acceleration are related by the equations F= ma, where m is the mass and a is
the acceleration of the object. Which equation gives m in terms of F and a?
a m = Fa
b m = F/a
c m = a/F
d m = Fma
19 Suppose that the equation V = 40x2 - 500x + 5000 describes the value of a car from 1960
to 2012. What year did the car have the least value? (x = 0 is 1960)
a 1965
b 1966
c 1967
d 1968
© K. Mitchell (Mitchell’s Math Madhouse), 2012
20. Which expression is equivalent to (x1/2)-2 ? a. 1/x1 b. x1 c. 1/x4 d. x4
21 The table below shows the average height of a tree and the amount of years that it has been growing.
Time (years) Height (in feet)
1 3
2 5
3 6
4 8
5 9
What is the average rate of change in height of the tree from Year 1 to Year 5?
a. 1 foot per year
b. 1.25 feet per year
c. 1.5 feet per year
d. 2.0 feet per year
22 Joey compared the y-intercept of the graph of the function f(x) = 5x + 7 to the y-intercept of the graph of the linear function that includes the points in the table below.
What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)?
a. -12 b. -2 c. 2 d. 12
x g(x)
1 20
2 35
3 50
4 65
© K. Mitchell (Mitchell’s Math Madhouse), 2012
23 Internet Company A charges $5 a month plus $0.05 per minute, x. Internet
Company B charges $0.10 per minute, but does not charge a start-up fee like
Company A does. Which function represents the difference in cost between
Company A and Company B?
a f(x) = 5x - 0.05
b f(x) = 5x + 0.05
c f(x) = 0.05x - 5
d f(x) = -0.05x + 5
24 Sara did an experiment to compare two methods of cooling an object. The results
are shown in the table below.
Time (minutes) Method 1 Temp (Fahrenheit)
Method 2 Temp (Fahrenheit)
5 50 50
10 25 45 15 12.5 42
20 6.25 38 25 3.125 35
Which statement best describes her results?
a. The temperature using Method 1 changed exponentially.
b. The temperature using Method 1 changed at a constant rate.
c. The temperature using Method 2 changed exponentially.
d. The temperature using Method 2 changed at a constant rate.
25 Paul compared the slope of the function shown below to that of a linear function
with an x-intercept of 4 and a y-intercept of -2.
What is the slope of the function with the smaller
slope?
a. -1
b. -1/2
c. ½
d. 1
© K. Mitchell (Mitchell’s Math Madhouse), 2012
26 The boiling point of water, T(measured in degrees), at an altitude, a (measured in
feet), is modeled by the function T(a)= -0.0018a + 212. In terms of altitude and
temperature, which statement described the meaning of the y - intercept.
a The boiling point of water at an altitude of -0.0018 feet is 212 degrees.
b The boiling point of water at an altitude of 0 is 212 degrees.
c The boiling point of water at an altitude of 0 is 211.998 degrees.
d The boiling point of water at an altitude of 212 feet is -0.0018 degrees.
27 A line segment has endpoints L(3, 7) and N(5, 9). The point M is the midpoint of LN.
What is an equation of a line perpendicular to LN and passing through M?
a y = -x + 12
b y = -x - 12
c y = -x + 4
d y = -x - 4
28 A triangle has the vertices T(2, 3) R(4, -1) and I(-1, -5). What is the approximate
perimeter of the triangle?
a 10
b 13
c 16
d 19
29 The table below shows the population of several cities.
City Population Waldo 25000
Mercy 30000
Frankfurt 21000 Pillbox 500
Fairfield 15000 Zooland 40000
Pineytown 22000
What would happen to the data set if Tinkerton, with a population of 50000, was added to
the data?
a The standard deviation decreases.
b The interquartile range decreases.
c The range decreases.
d The mean increases.
© K. Mitchell (Mitchell’s Math Madhouse), 2012
30 West Fairfield High School interviewed 1500 students to determine if they preferred
ice skating, skiing, or snowboarding. The results are shown in the relative frequency
table below.
Ice Skating Skiing Snowboarding Freshmen .05 .08 .15
Sophomores .04 .07 .09 Juniors .07 .08 .10
Seniors .07 .09 .11
How many more juniors than sophomores participated in the survey?
a. 75
b. 300
c. 375
d. 675
31 The West Stokes Music club has 200 members this year. Only Freshmen and
Sophomores are allowed to be members to help get them involved in the school
while they are still young. When this group was surveyed about their preference
between Rap/HipHop and Rock the results were as shown in the relative frequency
table below:
Grade Rap/Hip
Hop
Rock Total
Freshmen .36 .10 .46
Sophomores .42 .12 .54
Total .78 .22 1.00
Which statement is true?
a. 60 more sophomore students prefer Rap and Hip Hop than prefer Rock.
b. 156 students prefer Rock.
c. 108 of the students in the club are Freshmen.
d. Freshmen prefer Rock.
© K. Mitchell (Mitchell’s Math Madhouse), 2012
32 The table below shows the amount of shoes purchased at Shoes Unlimited.
Hours Open
2 4 6 8 10
Pairs of Shoes Purchased
30 60 90 120 150
What is the meaning of the slope of the linear model for the data?
a The store sells 30 pairs shoes every hour.
b The store sells 15 pairs shoes every hour.
c The store sells 15 pairs shoes every two hours.
d The store sells 1 pair of shoes every 15 hours.
33 The area of a trapezoid is found using the formula A = 1/2h(b1 + b2), where A is the
area, h is the height, and b1 and b2 are the lengths of the bases.
What is the area of the above trapezoid?
a -x - 1
b 2x + 2
c 5x + 5
d 6x + 6
© K. Mitchell (Mitchell’s Math Madhouse), 2012
34 The Measure-U-Up company makes rulers and yardsticks.
- The company can make between 500-800 rulers each day.
- The company can make between 250-600 yardsticks each day.
- A total of less than 1100 rulers and yardsticks are made each day.
- Each ruler brings a profit of $0.50.
- Each yardstick brings a profit of $0.25.
What is the maximum profit the company can make each day?
a $474.00
b $474.50
c $475.00
d $475.50
35 Hector mixed peanuts and cashews.
-He bought 5 pounds of cashews for $9.00 a pound.
-The cost per pound of peanuts is 40% of the cost of cashews.
-Hector bought enough peanuts to make a mixture that cost $5.76 per pound.
What is the approximate percentage of the peanuts in the mixture?
a. 40%
b. 50%
c. 60%
d. 70%
36 Franky and Arthur are both saving money for their vacation. The table below shows
the models for the amount of money Franky and Arthur saved after x weeks.
Franky f(x) = 6x + 10
Arthur a(x) = 8x + 2
After how many weeks will Franky and Arthur have the same amount of money?
a 2 weeks
b 3 weeks
c 4 weeks
d 5 weeks
© K. Mitchell (Mitchell’s Math Madhouse), 2012
37 Bobby noticed that there are multiple combinations of nickels and dimes that add
up to $0.75.
■ Let x be the number of nickels.
■ Let y be the number of dimes.
What is the domain where y is a function of x and the total value of the coins is
$0.75?
a {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
b {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
c {0, 1, 3, 5, 7, 9, 11, 13, 15}
d {1, 3, 5, 7, 9, 11, 13, 15}
38 The value of an antique radio is modeled by the function V(t) = 150(1.004)(1/2t)
where t is the number of years since 1965. Approximately what percentage rate is
the value of the radio increasing each year?
a .10%
b .20%
c .30%
d .40%
39 The table below shows the cost of a coffee based on the number of extras ordered.
Number of Extras (n)
Cost (C)
1 $2.00
2 $2.75
3 $3.50
4 $4.25
Which function represents the cost of a coffee with n extras added on?
a C(n) = .75n + 1.25
b C(n) = .75n + 2
c C(n) = 2n + .75
d C(n) = .75n
© K. Mitchell (Mitchell’s Math Madhouse), 2012
40. Nancy makes bracelets and necklaces and sells them at craft shows.
- Each bracelet takes one string and 50 beads.
- Each necklace takes two strings and 150 beads.
- Nancy has 10 strings and 650 beads.
- Each necklace makes her $2.00 in profit.
- Each bracelet makes her $0.75 profit.
What is the amount of necklaces she should make to get the greatest profit?
a. 1
b. 2
c. 3
d. 4
41 The sequence below shows how many bushes Mitchell’s nursery planted each year.
3, 9, 27, 81, …
Which formula could be used to determine the number of trees the nursery will
plant next year, NEXT, if the number of bushes planted this year, NOW, is known?
a. NEXT = Now * 1/3
b. NEXT = 2 * NOW + 3
c. NEXT = Now * 3
d. NEXT = NOW + 6
42 There were originally 5 bushes in the nursery. Each year the Mitchells planted the
same number of trees. In the 25th year, there were 205 bushes. Which function b(n),
can be used to determine the number of bushes in the nursery in any particular
year?
a b(n) = 5n
b b(n) = 8n + 5
c b(n) = 205/25n + 5
d b(n) = 25n - 5
© K. Mitchell (Mitchell’s Math Madhouse), 2012
43 The vertices of quadrilateral ABCD are A(4, 2), B(4, -2), C(-2, -2), and D(-2, 2). What
kind of quadrilateral is ABCD?
a Trapezoid
b Rectangle that is not a square
c Rhombus that is not a square
d Square
44 X is the midpoint of line segment WZ. Y is the midpoint of line segment XZ.
W is located at (12, 8) and Z is at (0, -4). What are the coordinates of Y?
a. (6, -1)
b. (6, 2)
c. (3, 3)
d. (3, -1)
45 The sequence below shows the total number of days Emily went running at the end
of weeks 1, 2, 3, and 4 of her new running routine.
3, 8, 13, 18, …
Which function could be used to find the total number of days Emily runs at the end
of week n if her pattern continues?
a r(n) = 5n - 2
b r(n) = 2n + 1
c r(n) = n + 2
d r(n) = 5n + 2
46 The circumference of a circle is approximately 18.84 cm. What is the approximate
diameter of the circle? (Circumference = 2 πr)
a 3 cm
b 4 cm
c 6 cm
d 8 cm
© K. Mitchell (Mitchell’s Math Madhouse), 2012
47 The number of points scored by a basketball team in the first eight games of the
season are shown below.
54, 62, 67, 58, 46, 71, 80, 61
What would happen to the data distribution if the team scored 42, 59, 62, 63, and 65
in their next 5 games?
a The data distribution would become less peaked and more widely spread.
b The data distribution would become less peaked and less widely spread.
c The data distribution would become more peaked and less widely spread.
d The data distribution would become more peaked and more widely spread.
48 The table below shows the shirt size and age of 6 girls.
Shirt Size (Toddler Sizes - T)
Age (years)
3 3
3 4
4 4 5 3
5 4
5 5
Approximately what percent of the girls’ ages is more than 1 year different from the
age predicted by the line of best fit?
a 17%
b 33%
c 50%
d 67%
© K. Mitchell (Mitchell’s Math Madhouse), 2012
49 The scatterplot below shows the number of division errors students made on a test
and the amount of time they took to take the test.
Which statement best describes the graph above?
a There is a strong positive relationship between the variables.
b There is a strong negative relationship between the variables.
c There is a weak positive relationship between the variables.
d There is a weak negative relationship between the variable.
50 An enclosed ski lift can hold a maximum of 1200 pounds. Six people want to ride the
ski lift together. Libby has some measures from the data of how much each person
weighed including their equipment. Which measure would be the most useful to
determine if the people can safely use the ski lift together?
a Mean
b Median
c Mode
d Range
© K. Mitchell (Mitchell’s Math Madhouse), 2012
Algebra I/Integrated I READY End-of-Course Practice Assessment #1-ANSWER KEY
Calculator Inactive Calculator Active
1. A
2. D
3. C
4. D
5. C
6. 60 seconds
7. $1.50
8. 7
9. 4 seconds
10. 8
11. k = 0
12. $26
13. 12
14. Turn 4
15. 6 miles per
hour
16. D
17. B
18. B
19. B
20. A
21. C
22. B
23. D
24. A
25. C
26. B
27. A
28. D
29. D
30. A
31. A
32. B
33. D
34. B
35. C
36. C
37. D
38. B
39. A
40. D
41. C
42. B
43. B
44. D
45. A
46. C
47. D
48. A
49. B
50. A
© K. Mitchell (Mitchell’s Math Madhouse), 2012
Algebra I/Integrated I Algebra I/Integrated I
READY End-of-Course READY End-of-Course Practice Assessment #1
Practice Assessment #1 Calculator Active Answers
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Algebra I/Integrated I
READY End-of-Course Practice Assessment #1
Common Core Question Alignment
**All questions aligned with the Common Core Standards for High School Math **
1. Algebra (CED.A.2)
2. Algebra (CED.A.2)
3. Algebra (APR.A.1)
4. Functions (IF.B.4)
5. Algebra (APR.A.1)
6. Algebra (CED.A.1)
7. Algebra (REI.C.5)
8. Algebra (REI.B.4b)
9. Functions (IF.C.8a)
10. Algebra (REI.C6)
11. Functions (IF.C7e)
12. Functions (IF.A2)
13. Functions (IF.C8a)
14. Functions (LE.A.2)
15. Num.&Quan
(NQ.A1)
16. Num.&Quan (RN.A1)
17. Algebra (CED.A.2)
18. Algebra (CED.A.1)
19. Functions (IF.B.4)
20. Num.&Quan (RN.A.1)
21. Functions (IF.B.6)
22. Functions (IF.C.9)
23. Functions (IF.A.2)
24. Functions (LE.A.1a)
25. Functions (LE.C.9)
26. Functions (IF.B.4)
27. Geometry (GPE.B.5)
28. Geometry (GPE.B.7)
29. Stats&Prob (ID.A.3)
30. Stats&Prob (IC.B.6)
31. Stats&Prob (IC.B.6)
32. Stats&Prob (ID.C.7)
33. Algebra (APR.A.1)
34. Algebra (CED.A.3)
35. Algebra (CED.A.3)
36. Algebra (REI.D.11)
37. Functions (IF.A.1)
38. Functions (IF.B.4)
39. Functions (BF.A.1a)
40. Algebra (CED.A3)
41. Functions (BF.A.2)
42. Functions(BF.A.1)
43. Geometry (GPE.B.4)
44. Geometry (GPE.B.6)
45. Functions(BF.A.1)
46. Geometry (GMD.A.3)
47. Stats&Prob (ID.A.3)
48. Stats&Prob (ID.B.6a)
49. Stats&Prob (ID.B.6c)
50. Stats&Prob (IC.A.1)