Substitution_Method_Quiz.doc

Solving Systems by Substitution Quiz

1. What is another way of saying “plug in”?

a. Simplify

b. Solve

c. Substitute

d. Eliminate

2. In the system below, which of the following shows the top equation solved for y?

y – 3x = 4

5x + 2y = 30

a. y + 3x = -4

b. y = 3x + 4

c. y = 4

d. x = 3y - 4

3. Now that x has been determined, what is the y-coordinate of the solution to the system of equations?

a. y = 3

b. y = 4

c. y = 5

d. y = 6

4. What is the x-coordinate of the solution to the system of equations below?

4x + y = 23

y = x + 8

a. 3

b. 11

c. 2

d. 1

5. Find the solution to the system of equations below:

y = -8

6x – 5y = 22

a. (-3, 9)

b. (-3, -8)

c. (8, 3)

d. (23, -8)

6. Solve the system of equations below by using the substitution method.

y = 2x + 10

y = -2x – 6

a. (2, 14)

b. (2, -10)

c. (-4, 2)

d. (4, 18)

7. Morgan has a piggy bank full of dimes and nickels. She remembers putting in 8 more dimes than nickels. When she counted all the money she has $4.25 or 425 cents. She set up a system of equations in order to figure out how many nickels were in the bank without having to count all the coins again.

d = n + 8

10d + 5n = 425

Which equation below shows how Morgan used the substitution method to correctly begin solving for one of the variables?

a. 10(n + 8) + 5n = 425

b. 10n + 8 + 5n = 425

c. n + 8 + 5n = 425

d. 10d + 5d + 8 = 425

8. For the system below, which x and y-coordinate represent a solution?

y – 3x = 4

5x + 2y = 30

a. x = 0, y = 1

b. x = 2, y = 10

c. x = 1, y = 7

d. x = 4, y = 5