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ACT Math Practice Test 5

ACT Math Practice Tests

Home ACT Practice Tests ACT Math Practice Tests Practice Test 5

ACT Math Practice Tests

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ACT Math Practice Test 5

Difficulty Level – 3: Medium / Difficult

Directions: Solve each problem and then click on the correct answer. You are permitted to use a calculator on this test.

Time limit: 0

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Question 1 of 10

1. Question

A number, \(x\), is decreased by 40% then increased by 25%. What is the final result in terms of \(x\)?

\(0.55x\)
Correct Incorrect Correct answer

\(0.575x\)
Correct Incorrect Correct answer

\(0.65x\)
Correct Incorrect Correct answer

\(0.75x\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 2 of 10

2. Question

\(\left(\dfrac{1}{3}y^\frac{1}{3}\right)^4*(2x^2y)^2=\)

\(\dfrac{4}{81}x^4y^\frac{10}{3}\)
Correct Incorrect Correct answer

\(\dfrac{1}{81}x^2y^3\)
Correct Incorrect Correct answer

\(\dfrac{4}{81}x^5y^\frac{9}{3}\)
Correct Incorrect Correct answer

\(\dfrac{1}{81}x^2y^4\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 3 of 10

3. Question

The expression \((x + y) [z − (x − y)]\) is equivalent to which of the following?

\(xz − x^2 + 2xy + y^2\)
Correct Incorrect Correct answer

\(2xz + x^2 − yz + y^2\)
Correct Incorrect Correct answer

\(xz − x^2 + yz + y^2\)
Correct Incorrect Correct answer

\(xz + x^2 − yz − y^2\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 4 of 10

4. Question

There are 32 marbles in a jar: 14 blue, 10 red, 5 green, and 3 yellow. Sally pulls one marble, randomly, from the jar. Without replacing the marble, she pulls another marble. What is the probability that both marbles will be red?

\(\dfrac{40}{426}\)
Correct Incorrect Correct answer

\(\dfrac{41}{456}\)
Correct Incorrect Correct answer

\(\dfrac{43}{476}\)
Correct Incorrect Correct answer

\(\dfrac{45}{496}\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 5 of 10

5. Question

If \(x + y = 7 \, \) and \( \, x − y = 3\), what is \(x^2 − y^2= \, ?\)

\(9\)
Correct Incorrect Correct answer

\(21\)
Correct Incorrect Correct answer

\(25\)
Correct Incorrect Correct answer

\(36\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 6 of 10

6. Question

The circumference of a large wedding cake is 60 inches. If the cake is divided evenly into 12 slices, what is the length of the arc, in inches, made by 5 combined slices?

\(13\)
Correct Incorrect Correct answer

\(15\)
Correct Incorrect Correct answer

\(20\)
Correct Incorrect Correct answer

\(25\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 7 of 10

7. Question

A rectangle has an area of \(507 \text{ cm}^2\). One side of the rectangle has a length of \(39 \text{ cm}\). What is the length of the diagonal of the rectangle in cm (rounded to the nearest tenth)?

\(41.1\)
Correct Incorrect Correct answer

\(49.0\)
Correct Incorrect Correct answer

\(50.9\)
Correct Incorrect Correct answer

\(55.7\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 8 of 10

8. Question

If \(f(x) = x^2 + 2x + 2\), what is \(f(x + h)?\)

\(x + h^2 + 2xh + 2 + h\)
Correct Incorrect Correct answer

\(x^2 + 2x + 2xh + 2h + h^2 + 2\)
Correct Incorrect Correct answer

\(x^2 + 4xh + 4h^2 + 2x\)
Correct Incorrect Correct answer

\(2x^2 + 2xh + 2h^2 + 2x + 2\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 9 of 10

9. Question

In the figure above, lines \(d\) and \(f\) are parallel and the angle measures are as given. What is the value of \(x\)?

\(35^\text{o}\)
Correct Incorrect Correct answer

\(85^\text{o}\)
Correct Incorrect Correct answer

\(100^\text{o}\)
Correct Incorrect Correct answer

\(120^\text{o}\)
Correct Incorrect Correct answer

Correct

Incorrect
Question 10 of 10

10. Question

Which of the following represents the equation of the line that passes through the point \((2, 3)\) with a slope of \(−\frac{1}{3}\)?

\(y = 2x + 3\)
Correct Incorrect Correct answer

\(y = −\dfrac{1}{3}x + \dfrac{11}{3}\)
Correct Incorrect Correct answer

\(y = −3x + \dfrac{11}{3}\)
Correct Incorrect Correct answer

\(y = −\dfrac{2}{3}x + \dfrac{11}{3}\)
Correct Incorrect Correct answer

Correct

Incorrect

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Next: ACT Math Practice Test 6

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