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Systems of Equations Review Problems

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Last updated over 3 years ago
11 questions
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Question 1
1.

Solve the system of equations. Write your answer as an ordered pair.
x - 2y = -24
5x + y = 1

Question 2
2.

Solve the system of equations. Write your answer as an ordered pair.
-x + 2y = 10
x - 3y = -13

Question 3
3.

Solve the system of equations. Write your answer as an ordered pair.
-x + 2y = 18
2x - 3y = 0

Question 4
4.

Solve the system of equations. Write your answer as an ordered pair.
2x - 3y = -1
y = x - 1

Question 5
5.

Solve the system of equations. Write your answer as an ordered pair.
x = -3y + 5
-4x + 5y = -3

Question 6
6.

Khloe Kardashian owns a total of 12 cars when you add her convertibles and SUVs. If the number of convertibles she owns is half the number of SUVs, how many SUVs does she own?

Question 7
7.

Kendrick bought 4 waffles and 3 cups of coffee for $33. Dominique bought 3 waffles and 1 coffee for $21. What is the price of a waffle?

Question 8
8.

The first equation in a system is y = 3x + 1. Find the number of solutions for each of the possible systems if the second equation is shown below.

Draggable itemarrow_right_altCorresponding Item
y = 1 + 3x
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One Solution
y = 4x
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No Solution
y = 3x
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Infinitely Many Solutions
Question 9
9.

Graph the system of equations below:
y = 2x + 7
y = 3x - 2

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 10
10.

What is the solution to the system of equations from your graph? (Write your answer as an ordered pair).

Question 11
11.

If you have finished, try this Desmos activity