Systems of Equations

Practice Questions

ACT Math › Systems of Equations

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1

Jacob is 3 years older than Sarah, and Caroline is twice as old as Sarah. If Caroline is 28 years old, how many years old is Jacob?

2

Solve for x based on the following system of equations:

x + y = 5

2x + 3y = 20

3

Jacob is 3 years older than Sarah, and Caroline is twice as old as Sarah. If Caroline is 28 years old, how many years old is Jacob?

4

Solve for x based on the following system of equations:

x + y = 5

2x + 3y = 20

5

Find a solution to the system of equations:

2_x_ – y = 0

x + y = 3

6

If

and

Which of the following expresses in terms of ?

7

Find a solution to the system of equations:

2_x_ – y = 0

x + y = 3

8

If

and

Which of the following expresses in terms of ?

9

Given the following two equations, solve for :

3a+2b=16 3a-2b=4

10

Given the following two equations, solve for :

3a+2b=16 3a-2b=4

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