Standardized Test Practice
Name
Date
1. Samuel pays $59.99 plus $0.25 for each minute over 450 minutes for his cell phone plan. Monica
pays $64.99 plus $0.10 for each minute over 450 minutes for her cell phone plan. Which system of
equations represents this situation? Let x represent the number of minutes over 450.
 
y 5 59.99x 1 0.10
a.​       
​
  ​ ​
y 5 64.99x 1 0.25 ​
 
y 5 59.99x 1 0.25
b.​       
​
  ​ ​
y 5 64.99x 1 0.10 ​
 
y 5 59.99 1 0.10x
c.​       
​
  ​ ​
y 5 64.99 1 0.25x ​
 
y 5 59.99 1 0.25x
d.​       
​
  ​ ​
y 5 64.99 1 0.10x ​
2. Which system of equations is best solved by using substitution?
 
2x 1 9y 5 18
a.​      
​
  ​ ​
5y 2 3x 5 24 ​
 
x 2 2y 5 17
b.​     
​
  ​ ​
9y 5 3x 1 6 ​
 
4y 5 3x
c.​      
​
   ​ ​
7y 2 9x 5 224 ​
 
14x 5 4y 2 5
d.​      
​
  
  ​ ​
9 2 3x 5 22y ​
3. Solve this system of equations.
 
3x 1 4y 5 18
 ​ ​
​      
​
  
6x 2 2y 5 6 ​
© 2012 Carnegie Learning
a. (2, 3)
b. (3, 2)
c. (22, 23)
d. (23, 22)
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4. Jonathon and Raymond earn a base salary plus commission. Jonathon earns $1500 plus 10% of his
sales each month. Raymond earns $1200 plus 15% of his sales each month. How much will
Jonathon and Raymond need to sell in order to earn the same amount each month?
a. $60
b. $6000
c. $21,000
d. $54,000
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5. Solve this system of equations.
 
1 5 22x 1 9y
 ​ ​
​
  
​      
x 5 2y 1 2 ​
a. (24, 21)
b. (4, 21)
c. (4, 1)
d. (24, 1)
6. Download Central offers a free membership and unlimited mp3 downloads for $25 each month. Save
& Download charges $5 each month for a membership and $1 per mp3 download. How many mp3s
must Grant download for the cost at both companies to be the same?
a. 5
b. 15
c. 20
d. 30
7. Which would be the best method to use to solve this system of equations?
 
0.65x 1 0.09y 5 1.66
​         
​
   
   ​ ​
20.03y 1 0.25x 5 0.38 ​
a. graphing
b. substitution
c. linear combinations
d. A solution cannot be found.
8. Solve this system of equations.
 
25 5 2x 1 3y
​      
​
   ​ ​
8y 5 26x 1 4 ​
b. (2, 21)
c. (1, 22)
d. (22, 1)
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9. Solve this system of equations.
 
0.2x 1 0.6y 5 3.6
​        
​
  
  ​ ​
0.4x 2 0.9y 5 21.2 ​
© 2012 Carnegie Learning
a. (21, 2)
a. (24, 6)
b. (26, 4)
c. (4, 6)
d. (6, 4)
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Name
Date
10. The graph shows the amount of profit for two companies. What does the solution x 5 3 represent?
y
$900
Profit (in thousands)
$800
$700
$600
$500
$400
$300
$200
$100
0
1
2
3
4
5 6
Years
7
8
9
x
a. The two companies never have the same amount of profit.
b. After three years, the companies both have $425 in profit.
c. After two years, the companies both have $425,000 in profit.
d. After three years, the companies both have $425,000 in profit.
11. Solve this system of equations.
 
© 2012 Carnegie Learning
24x 1 7y 5 22
​       
2x 1 5y 5 216 ​
a. (22, 23)
b. (23, 22)
c. (6.5, 24)
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d. (26.5, 24)
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12. A cable company offers two movie plans. One plan costs $120 per month plus $5 per movie. The
other plan costs $150 per month for unlimited movies. How many movies must Neil rent in order for
the plans to cost the same amount?
a. 5
b. 6
c. 25
d. 30
13. When is graphing a system of equations a good method to determine a solution?
a. when the numbers are easy to graph
b. when an exact solution is needed
c. when one variable can be easily isolated
d. when the coefficients of like terms are multiples
14. Solve this system of equations.
 
22y 5 23x 2 13
 ​ ​
​
  
​       
2x 1 3y 5 13
​
a. (25, 1)
b. (1, 25)
c. (5, 21)
d. (21, 5)
15. How many solutions does this system of equations have?
 
y 5 7 2 4x
​      
​
  
  ​ ​
y 5 22(2x 1 4) ​
a. 0
b. 1
d. infinitely many
16. Which would be the best method to use to solve this system of equations?
6
 
0.3x 1 y 5 24.8
​       
​
  
  ​ ​
0.5x 5 210 2 2y ​
a. graphing
© 2012 Carnegie Learning
c. 2
b. substitution
c. linear combinations
d. A solution cannot be found.
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Name
page 5
Date
17. Solve this system of equations.
 
9x 2 4y 5 1
​       
​
    ​ ​
23x 1 8y 5 247 ​
a. (3, 27)
b. (23, 7)
c. (23, 27)
d. (27, 23)
18. Two plumbers charge different rates for service. The first plumber charges $100 per service call
plus $25 per hour of service. The second plumber charges $50 per service call plus $50 per hour
of service. After how many hours do the plumbers charge the same amount?
a. 0
b. 1
c. 2
d. 3
19. How many solutions does this system of equations have?
 
y 2 10 5 2x
​     
​
   ​ ​
__
​ 1 ​  y 5 x 1 5
2
​
a. 0
b. 1
c. 2
© 2012 Carnegie Learning
d. infinitely many
20. A phone company has two long distance calling plans. The first plan is $25 per month for unlimited
long distance calling. The second plan is $10 per month plus $0.05 per minute of long distance
calling. After how many minutes of long distance calls will it be cheaper for a customer to purchase
the first plan?
6
a. 100
b. 150
c. 300
d. 500
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