ACT Math: Algebra

Question 1

If 3x + 7 = 22, what is the value of x?

Accepted Answer

5

Answer

Subtract 7 from both sides to get 3x = 15, then divide by 3 to find x = 5.

Question 2

Which expression is equivalent to 2(x + 3) − 4x?

Accepted Answer

−2x + 6

Answer

Distribute to get 2x + 6 − 4x, then combine like terms to get −2x + 6.

Question 3

What are the solutions to x² − 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

Factor as (x − 2)(x − 3) = 0, giving x = 2 or x = 3.

Question 4

If 4x − 2y = 10 and x = 3, what is the value of y?

Accepted Answer

1

Answer

Substitute x = 3 to get 12 − 2y = 10, then solve to find y = 1.

Question 5

What is the slope of the line passing through the points (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (y₂ − y₁)/(x₂ − x₁) = (11 − 3)/(6 − 2) = 8/4 = 2.

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