Accuplacer Quantitative Reasoning, Algebra, and Statistics (QAS) Practice Test 2024: There are a total of 30 multiple-choice questions with answers for the NextGen Accuplacer Math practice test. You can also download the printable copy of PDF.

Quantitative Reasoning, Algebra, and Statistics Practice Questions include Practicing your skills working with rates and ratios. Solving problems involving algebra expressions and equations, Working with linear functions, Tackling geometry questions, and Putting your statistics skills to the test

## Accuplacer QAS Practice Test 2024

Name of the Test | Accuplacer Practice Test |

Administrated by | College Board |

Total Questions | 30 |

Question format | multiple-choice questions |

Test subjects | Quantitative Reasoning, Algebra, and Statistics |

**Quantitative Reasoning Practice Questions**

**Q1.** | 6 + ( -7) | – | 5 × (-2) | = ?

- (A) 9
- (B) -9
- (C) 19
- (D) -19

**Q2.** If a car traveled an average of 62 miles per hour over the course of a 713-mile trip, how many hours was it on the road? (Round your answer to the nearest tenth of a mile.)

- (A) 1.5 hours
- (B) 5.5 hours
- (C) 11.5 hours
- (D) 21.5 hours

**Q3.** A beach club has a 4-to-7 ratio of men to women. If 203 women belong to the club, how many men are members?

- (A) 11 men
- (B) 26 men
- (C) 116 men
- (D) 126 men

**Q4.** \frac{(x^2 y^4)^3}{x^4 y^5} = ?

- (A) x^2 y^7
- (B) x^3 y^4
- (C) x^2 y^2
- (D) x^4 y^2

**Algebra Practice Questions**

**Q5.** What is the value of 4x² − 8x + 50 when x = − 3

- (A) 10
- (B) 11
- (C) 100
- (D) 110

**Q6.** What do you get when you simplify 3a² + 5ab – 4b³ – 6ab + 10b³ + ab

- (A) 10b2 + ab
- (B) 3a² + 6b³
- (C) 3a² + 5ab³
- (D) 4b³ – 6ab

**Q7.** Factor 3a^{5} – 18a³ + 6a²

- (A) 3a² (a³ – 6a + 2)
- (B) 3a³ (a² – 6a + 2)
- (C) 2a³ (a³ – 6a + 2)
- (D) 3a² (a³ – 2a + 2)

**Algebra equations practice test**

**Q8.** What is the value of x when 5x – 7 = 23

- (A) x=1
- (B) x=2
- (C) x=3
- (D) x=6

**Q9**. Solve the following equation for x: 8x + 4 – x = 11 + 5x – 1

- (A) x=1
- (B) x=2
- (C) x=3
- (D) x=4

**Q10.** Solve this system of equations for x and y:

3x + 4y = -1

x + 5y = 7

- (A) x = – 3 and y = 2
- (B) x = – 2 and y = 3
- (C) x = 3 and y = – 2
- (D) x = 3 and y = 2

**Algebra word problems Practice Test**

**Q11.** Three times a number is equivalent to that number plus 14. What is the number?

- (A) 1
- (B) 4
- (C) 7
- (D) 17

**Q12.** Jacob has 19 more comic books than Benjamin. If Benjamin doubles the number of comic books that he has and Jacob buys 9 more, together they will have 79 comic books. How many comic books does Benjamin have right now?

- (A) 7 comic books
- (B) 11 comic books
- (C) 13 comic books
- (D) 17 comic books

**Q13.** When you add 7 to a number, then multiply the result by 8, and then subtract 6, the number you end up with is 10. What is the original number?

- (A) – 5
- (B) 5
- (C) 10
- (D) -10

**Q14.** To raise money for their school play, Beatrice sold brownies for $1.25 each, and Chuck sold cookies for $0.75 each. Together, they sold 87 items and made $80.75. How many cookies did Chuck sell?

- (A) 15 cookies
- (B) 26 cookies
- (C) 56 cookies
- (D) 65 cookies

**Linear functions Practice Test**

**Q15.** Caren opened her savings account with a deposit of $1200, and every month after that deposited an additional $350. How much money will Caren have in her account 36 months after opening it?

- (A) $3,800
- (B) $1,800
- (C) $13,800
- (D) $14,800

**Q16.** Seth owns a vacation timeshare plan that costs $3500 per year plus $65 for each night that he uses the timeshare. Last year, he spent $5710 on the time share. How many nights did he use the timeshare?

- (A) 44 nights.
- (B) 14 nights.
- (C) 24 nights.
- (D) 34 nights.

**Q17**. What is the equation for the line shown in the following graph?

- (A) y = -2x + 5
- (B) y = -5x + 2
- (C) y = 2x + -5
- (D) y = -5x + 2

**Q18.** What is the equation of a line with a slope of and passing through the point (4, -5)?

- (A) y = -4x + 5
- (B) y = -3x + 7
- (C) y = 3x + 7
- (D) y = -4x + 7

**Q19.** If the points (a, 0) and (0, b) lie on the graph of the equation 3x – 4y = 24 what is the value of a + b?

- (A) 13
- (B) 2
- (C) 3
- (D) -2

**Q20**. The following figure shows Triangle ABC. You want to translate this triangle to a new position as Triangle A’B’C’. If A’ is located at ( -3, 8) what will be the coordinates of the point B’?

- (A) (-5, 2)
- (B) (5, -2)
- (C) (-3, 5)
- (D) (3, -5)

**Geometry Practice Test**

**Q21.** If a square has a perimeter of 48 inches, what is the length of its side?

- (A) 2 centimeters
- (B) 12 centimeters
- (C) 24 centimeters
- (D) 36 centimeters

**Q22.** If a rectangle whose longest side is 8 meters has an area of 24 square meters, what is its perimeter?

- (A) 2 meters
- (B) 12 meters
- (C) 22 meters
- (D) 32 meters

**Q23.** A rectangular room has a length of 15 feet and a height of 8 feet. If its total volume is 1200 square feet, what is the width of the room?

- (A) 10 feet
- (B) 12 feet
- (C) 20 feet
- (D) 30 feet

**Q24.** A cylindrical can has a height of 10 inches, and the radius of its base equals 3 inches. What is the volume of the can in cubic inches, rounded to two decimal places? (Use 3.14 as an approximation for the value of Π.)

- (A) 28.6 cubic inches
- (B) 82.6 cubic inches
- (C) 182.6 cubic inches
- (D) 282.6 cubic inches

**Q25.** Suppose a triangle has a hypotenuse of 17 millimeters and one leg of length 15 millimeters. What is the length of its other leg?

- (A) 1 millimeters
- (B) 8 millimeters
- (C) 18 millimeters
- (D) 88 millimeters

**Statistics, Probability, and Sets Practice Test**

Use this information for Questions 26 through 28:

A third-grade class of 17 students had the following grades on a math test:

*A bag contains 10 tiles, each tile containing a different number from 1 to 10.*

**Q26.** If you pull a tile at random from the bag, what’s the probability that this number will be greater than 6?

- (A) 1/5
- (B) 2/5
- (C) 3/5
- (D) 4/5

**Q27.** If you pull a tile at random from the bag, what’s the probability that this number will be both even and less than 7?

- (A) 2/10
- (B) 3/10
- (C) 4/10
- (D) 5/10

**Q28.** If you pull an odd-numbered tile from the bag, what’s the probability that this number will be greater than 4?

- (A) 1/5
- (B) 2/5
- (C) 3/5
- (D) 4/5

Use the following information to solve Questions 29 and 30:

**V**= {1, 3, 5, 7, 9} **W**= {4, 5, 6, 7) **X**= {2, 3, 6, 8, 9, 10}

**Q29.** What is the set of **V ∪ (W ∩ X)**

- (A) {1, 3, 5, 7, 9}
- (B) {1, 5, 7, 9}
- (C) {2, 6, 8, 10}
- (D) {2. 6, 8, 10}

**Q30.** What is the set of **(V ∪ X) ∩ W **

- (A) {1, 3, 5, 7, 9}
- (B) {3, 5, 6, 7}
- (C) {2, 4, 6, 8,}
- (D) { 5, 6, 7}

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