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Section 5.3 and 5.4 Review

Last updated about 1 year ago

13 questions

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Question 1

1.

What is the solution to the system?

a. (0, 3)

b. (1, -1)

c. (-3, 1)

d. (1, 3)

Question 2

2.

Solve the system by graphing. Enter your answer in (x,y) format without any spaces.

Question 3

3.

Solve using substitution. When entering your answer, use parentheses (x,y) and do not put any spaces.
y = 5x -2
x + y = 4

Question 4

4.

In the systems of equation below, I can eliminate x by adding because the coefficients are opposites.
4x + 8y = 20
−4x + 2y = −30

True

False

Question 5

5.

Which of the statements below describes how you could solve this system if you were using elimination?
5x + y = 9
10x − 7y = −18

You eliminate x, and divide the bottom equation by 2

You eliminate x, and multiply the top equation by 2

You eliminate y, and multiply the top equation by 7

You eliminate y, and multiply the top equation by -7

Question 6

6.

Solve using elimination:

(2, -5)

(-2, 5)

(-7, -1)

(7, -1)

Question 7

7.

Solve using elimination. When entering your answer, use parentheses (x,y) and do not put any spaces.
x + 2y = 1
4x - 2y = 14

Question 8

8.

Solve using elimination. When entering your answer, use parentheses (x,y) and do not put any spaces.

Question 9

9.

Solve using elimination. When entering your answer, use parentheses (x,y) and do not put any spaces.

Question 10

10.

Solve the system of equations using the method of your choice.

One solution (0,4)

One solution (4,0)

No solution

Infinitely many solutions

Question 11

11.

Solve the system of equations using the method of your choice.
8x + 4y = 12
y = -2x + 2

one solution, (0,3)

one solution, (3,0)

No solution

Infinitely many solutions

Question 12

12.

Which system of equations is represented in the diagram above? Select the 2 equations you would use (remember m is the cost of each milkshake and b is the cost of each burger).

Question 13

13.

Shreya and Rob are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes (f) and apple cheesecakes (a). Shreya sold 12 French silk cheesecakes and 3 apple cheesecakes for a total of $93. Rob sold 6 French silk cheesecakes and 6 apple cheesecakes for a total of $96. What is the cost each of one French silk cheesecake (f) and one apple cheesecake (a)?

Enter your answer in parentheses (f,a) without any spaces.