Name Date

Systems Test Review

  1. Solve by graphing

y = ½ x

y = 3x + 5

  1. Solve by graphing

x + y = -2

2x – 3y = -9

  1. Solve the system
  1. Solve the system
  1. Solve the system
  1. Solve the system
  1. Solve the system
  1. Solve the system
  1. Solve the system

10. Solve the system

11. You have a test worth 100 points containing a total of 40 questions. There are 2-point questions and 4-point questions on the test. Write the system of equations in the blanks below. DO NOT SOLVE.

Equation______

Equation______

12. The sum of the perimeters of two differentsquare fields is 504 yards. The difference of their perimeters is 189 yards. Write a system of equations that can be used to determine the dimensions of the wooden deck. DO NOT SOLVE. (Remember P = 4s)

Equation______

Equation______

13. I have nickels and dimes in my pocket worth 75 cents. The total number of coins I have is 11. Write the two equations that represent the money in my pocket. Solve the system to find the amount of each of the coins.

Equation______

Equation______

Solution: ______

14. Some values for two linear equations are shown in the tables below.

Equation 1 Equation 2

x / y
3 / 7
-6 / 4
6 / 8
9 / 9
x / y
6 / 8
12 / 20
-6 / 16
-8 / -20

What is the solution to the system of equations represented by these tables?

Solution: ______

15. What is the x-coordinate of the solution of the following system?

A 2B 4

C 3 D -2

16. Which of the following ordered pairs is a solution to the system?

A. (2, -3)B. (3, 0)

C. (4, 2)D. (2, 3)

17. What is the solution of the system:

A. (2,1)B. (0,2)

C. (-2, -3)D. No solution

18. Mark and Amy have 84 comic books altogether. Mark has 6 fewer than twice the amount that Amy has. Which system of equations can be used to find out how many comic books that Mark has?

A m + a = 84B m + a = 84

m = 6 – a m = 2a – 6

C m + a = 6 D m + a = 84

84 = 2a m = 6 – 2a

19. Determine the number of solutions for the following system:

A No Solution

B Infinitely Many Solutions

C One Solution

20. Which situation best represents the system of equations shown below?

A Mary had $50. She spent $5 for each pizza and $2 for each drink.

B A quiz in Algebra was worth 50 points. The multiple choice was counted as 5 points and the true / false are 2 points each.

C There is $50 worth of paper in the storage room. Some of the boxes cost $5 a box and some boxes cost $2. There are 12 boxes altogether.

21. George saves nickels and dimes for tolls. If he has 28 coins worth $2.60, which system of equations could be used to find n, the number of nickels and d, the number of dimes, that George has?

A B

C D

22. A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one tree?

A $47B $23

C $36D $28

23. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?

A 1600 children and 600 adults

B 600 children and 1600 adults

C 700 children and 1500 adults

D 1500 children and 700 adults