Standardized Test Practice

Standardized Test Practice
Name
Date
1. Sallie makes candles using different scents. She sells each candle for $8 on her website. She writes
the equation y 5 8x to determine how much money she earns from candle sales. What does the
independent variable represent in this situation?
a. the number of scents
b. the number of candles sold
c. the cost of each candle
d. the amount of visitors on the website
2. The table shows Adam’s age and shoe size. What is the correlation coefficient of the linear regression?
Age
6
8
10
12
Shoe Size
3
4.5
5
7.5
3
a. 21.3
b. 0.7
c. 0.933
d. 0.966
3. What is the y-intercept for the equation 4x 2 3y 5 218?
a. (0, 26)
b. (0, 24.5)
c. (0, 4.5)
© 2012 Carnegie Learning
d. (0, 6)
4. Student movie tickets cost $8.75. Adult movie tickets cost $10.25. Which function shows the total
cost for s student tickets and a adult tickets?
a. f(s) 5 8.75s 1 10.025
b. f(a) 5 8.75 1 10.025a
c. f(s, a) 5 8.75a 1 10.25s
d. f(s, a) 5 8.75s 1 10.25a
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5. Which shows the equation 12m 1 4n 5 480 in slope-intercept form?
a. m 5 ________
​  3   ​ 
120 2 n
n ​ 1 40
b. m 5 2​ __
3
c. m 5 40 2 4n
d. m 5 468 2 4n
6. The equation d 5 r t gives the distance d for rate r and time t. Which shows the equation correctly
solved for time?
a. t 5 ​ __r  ​ 
d
b. t 5 __
​ dr ​ 
3
c. t 5 dr
d. t 5 d 2 r
7. A company used the function r(x) 5 5x 1 15,000 to predict the amount of revenue they will earn next
year. The company also used the function c(x) 5 2x 2 2,000 to predict the amount they will spend
in costs next year. Which function shows the amount of profit, p(x), the company predicts to earn
after costs?
a. p(x) 5 7x 1 13,000
b. p(x) 5 3x 1 13,000
c. p(x) 5 7x 1 17,000
d. p(x) 5 3x 1 17,000
8. Rewrite the function c(x) 5 9(x 1 3) using the Distributive Property.
a. c(x) 5 9x 1 12
b. c(x) 5 9x 1 27
d. c(x) 5 3x 1 27
9. What is the x-intercept of the equation y 5 __
​ 1 ​ x 1 6?
2
a. (212, 0)
b. (23, 0)
c. (0, 23)
© 2012 Carnegie Learning
c. c(x) 5 9x 1 93
d. (0, 212)
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page 3
Name
Date
10. At a local high school, a student ticket to a soccer game costs $5 and an adult ticket to a soccer
game cost $10. For one soccer game, the amount earned on ticket sales was $1,430. Let x represent
the number of student tickets sold and y represent the number of adult tickets sold. Determine the
x- and y-intercepts. Which graph represents this situation?
a.
y
b.
y
400
Adult Tickets
Adult Tickets
400
300
200
100
100
200
300
Student Tickets
400
x
0
y
d.
200
300
Student Tickets
400
100
200
300
Student Tickets
400
300
200
300
200
100
100
100
200
300
Student Tickets
400
x
0
Chapter 3 Assessments 8047_Assess_Ch03.indd 871
x
400
Adult Tickets
Adult Tickets
© 2012 Carnegie Learning
100
y
400
0
200
100
0
c.
3
300
x
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Standardized Test Practice
page 4
11. A certain prescription medication costs $15 with MedPlus insurance and $75 with HealthPrime
insurance. Last month, a pharmacy earned $5,850 selling this medication. If 220 prescriptions were
filled for people who have MedPlus insurance, how many prescriptions were filled for people who
have HealthPrime insurance?
a. 34
b. 186
c. 254
d. 1082
12. The equation A 5 p ​r 2​ ​gives the area A of a circle with radius r. Solve the function for radius.
2p ​ 
a. r 5 ​ ___
A
3
b. r 5 ___
​  A  ​ 
2p
__
√__​ Ap ​ ​  
c. r 5 ​
√
__
d. r 5 ​ __
​ p ​ ​  
A
13. The table shows Savannah’s salary for different years. What is the linear regression equation?
Year
Salary ($)
2000
2001
2002
2003
40,000
42,000
46,000
44,500
a. y 5 39,625x 1 4375
b. y 5 4375x 1 39,625
c. y 5 1750x 1 40,500
1
14. Which shows the equation y 5 2​ __ ​ x 2 7 in standard form?
2
1
a. y 1 7 5 2​ __  ​x
2
b. x 1 2y 5 214
c. 22y 2 14 5 x
© 2012 Carnegie Learning
d. y 5 40,500x 1 1750
d. x 2 2y 5 14
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Name
Date
15. Anna and Dave decide to go into business together selling lemonade during the summer. They each
set up a stand outside their house. Anna sells her lemonade for $0.50 a cup and gives away two cups
for free each week. Dave sells his lemonade for $0.75 a cup and gives away three cups for free each
week. One week, Anna distributes twice as many cups of lemonade as Dave. Which function best
represents the amount Dave and Anna earned together during this week?
a. t(x) 5 __
​ 1 ​ x 2 1 1 __
​ 3 ​ x 2 2.25
2
4
7
b. t(x) 5 ​ ___  ​x  2 3.25
12
3
c. t(x) 5 2(1.25x 2 3.25)
d. t(x) 5 1.25x 2 3.25
16. Steve bought wrenches of different sizes. He spent $20 for each wrench for his toolbox. The
expression y 5 20x shows how much he spent for the wrenches. What does the dependent
variable represent in this situation?
a. the number of sizes of wrenches
b. the number of wrenches bought
c. the number of wrenches in the toolbox
d. the cost of the wrenches
17. The table shows the amount of accumulated snowfall during different months. What is the range of
the data?
Month
© 2012 Carnegie Learning
Accumulated
Snowfall (inches)
1
2
3
4
5
6
15.03
18.12
9.84
3.51
1.93
0.02
a. 5 inches
b. 15.01 inches
c. 16.19 inches
d. 18.1 inches
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18. The equation V 5 __
​ 4 ​ p ​r 3​ ​gives the volume V of a sphere with radius r. Which shows the equation
3
solved for the length of the radius?

b. r 5 ​ ​ 4V  ​ ​
3p

a. r 5 ​3 ___
​ 3V  ​ ​ 
4p
3

___
  
 
c. r 5 ___
​ 9V  ​
4p
d. r 5 ___
​  V  ​ 
4p
19. The table shows the number of bacteria at different times during an experiment. Using a linear
regression, about how many bacteria will there be after 24 hours?
3
Time (Hours)
3
6
9
12
Number of Bacteria
25
85
168
205
a. 35
b. 277
c. 469
d. 819
20. Which shows the equation 2x 2 8y 5 216 in slope-intercept form?
a. y 5 __
​ 1 ​  x 1 2
4
b. y 5 __
​ 1 ​  x 2 2
4
d. y 5 24x 2 2
874 © 2012 Carnegie Learning
c. y 5 24x 1 2
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