ACT American College Testing: Math Section (ACT-Math) Free Practice Test
Question 1
If x × y = 144, x + y = 30, and x > y, what is the value of x/y?
Correct Answer: A
Question 2
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If
, then a = 3 when z = ___.
If
, then a = 3 when z = ___.
Correct Answer:
27
Question 3
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If 6x + 9y - 15 = -6, what is the value of -2x - 3y + 5?
If 6x + 9y - 15 = -6, what is the value of -2x - 3y + 5?
Correct Answer:
2
Question 4
When x = 4 and y = 6, by how much does the value of 3x 2 - 3y exceed the value of 2x 2 - 2y?
Correct Answer: D
Question 5
It takes eight people 12 hours to clean an office.
How long would it take six people to clean the office?
How long would it take six people to clean the office?
Correct Answer: E
Question 6
If 3x - 1 = 11, what is the value of 3x + 1?
Correct Answer: A
Question 7
In the diagram above, lines NO and PQ are parallel to each other and perpendicular to lines JK and LM. Line JK is parallel to line LM. If
is 70º, what is the measure of
?
is 70º, what is the measure of
?
Correct Answer: E
Question 8
If
, then when a = 8, b could be equal to:
, then when a = 8, b could be equal to:
Correct Answer: D
Question 9
If a + 3b = 37 and a - 3b = 19, then b = ___.
Correct Answer: A
Question 10
The equation
whenx =:
whenx =:
Correct Answer: E
Question 11
Let the function f be defined as f(x) = 5x 2 - 7(4x + 3).
What is the value of f(3)?
What is the value of f(3)?
Correct Answer: E
Question 12
Marcus's favorite casserole recipe requires 3 eggs and makes 6 servings. Marcus will modify the recipe by using 5 eggs and increasing all other ingredients in the recipe proportionally.
What is the total number of servings the modified recipe will make?
What is the total number of servings the modified recipe will make?
Correct Answer: D
Question 13
Which of the following has the greatest value when x = -1/4?
Correct Answer: A