ACT Math Practice Test Pool 3

Question 1

If 3x - 7 = 2x + 5, what is the value of x?

Accepted Answer

x = 12

Answer

Subtract 2x from both sides: x - 7 = 5. Add 7 to both sides: x = 12.

Question 2

A rectangle has a perimeter of 54 cm. If the length is twice the width, what is the area of the rectangle?

Accepted Answer

162 cm²

Answer

Let width = w, length = 2w. Perimeter: 2(w + 2w) = 54 → 6w = 54 → w = 9. Length = 18. Area = 9 × 18 = 162 cm².

Question 3

What is the slope of a line that passes through (−3, 4) and (5, −2)?

Accepted Answer

-3/4

Answer

Slope = (y₂ − y₁)/(x₂ − x₁) = (−2 − 4)/(5 − (−3)) = −6/8 = −3/4.

Question 4

Which of the following is equivalent to (x² − 9)/(x − 3) for x ≠ 3?

Accepted Answer

x + 3

Answer

Factor the numerator: x² − 9 = (x − 3)(x + 3). Cancel (x − 3): result is x + 3.

Question 5

A car travels 240 miles in 4 hours. At this rate, how far will it travel in 7 hours?

Accepted Answer

420 miles

Answer

Rate = 240 ÷ 4 = 60 mph. Distance in 7 hours = 60 × 7 = 420 miles.

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