Z! Prep Act Math Only Quiz For Tutors

1. If set A includes {2,3,4,5,6,7}, what is the probability that a number chosen at random from set A will be a prime number?

0

1/6

1/3

1/2

2/3

Multiple Choice, Statistics

Explanation

Multiple Choice, Statistics

2. Timothy makes a model of his garden using a scale of 1" = 5 feet. If his model measures 2.5" by 3.5", what are the dimensions of the actual garden?

12.5 x 17

12 x 17

12.5 x 17.5

12 x 17.5

12.75 x 17.75

Word Problem, Arithmetic

Explanation

Word Problem, Arithmetic

3. Line segment

lies on the standard (x,y) coordinate plane. The coordinates of endpoint A are (1, 2), and the point halfway between A and B is

. Which of the following are the coordinates of endpoint B ?

(3,4)

(4,3)

(9,8)

(-3,-4)

(8,-9)

Word Problem, Coordinate Geometry

Explanation

Word Problem, Coordinate Geometry

4. If f(x) =

and g(x) = x + 3, what is the value of f [g(x)] at x = 1?

9

10

57

43

22

Multiple Choice, Functions

Explanation

Multiple Choice, Functions

5. The odometer of Meghan's car reads 56,193 at the start of her trip and 56,547 when she reaches her destination. She drove the car for a total of six hours. Based on her odometer readings, what was Meghan's average driving speed during the trip?

57 mph

58 mph

60 mph

59 mph

56 mph

Word Problem, Arithmetic

Explanation

Word Problem, Arithmetic

6. Which of the equations below represents the line that that passes through (-2, -1) and (-3, -4) in the standard (x, y) coordinate plane?

Y = -x + 5

Y = x + 3

Y = -3x − 5

Y = 3x + 5

Y = 3x − 5

Multiple Choice, Coordinate Geometry

Explanation

Multiple Choice, Coordinate Geometry

7. If set A includes {2,3,4,5,6,7}, what is the probability that a number chosen at random from set A will be a prime number?

0

1/6

1/3

1/2

2/3

Multiple Choice, Statistics

Explanation

Multiple Choice, Statistics

8. What is the volume of a cube with each side measuring 5cm?

Multiple Choice, Geometry

Explanation

Multiple Choice, Geometry

9. George's Cookie Shop is considering lowering the price of its $1.25 gingerbread cookies. George estimates that for every $.05 he lowers the price, he will gain three new customers in addition to his regular 92 gingerbread cookie customers. Which of the following equations models George's gingerbread cookie sales in terms of x?

(1.25 + 5x) (92 + .3x)

(1.25 − .05x) (92 + 3x)

(1.25 + 3x) (92 + .05x)

(1.25 − .3x) (92 − 5x)

(1.25 − 3x) (92 + .05x)

Word Problem, Functions

Explanation

Word Problem, Functions

10. Which of the expressions below is equivalent to

Multiple Choice, Algebra

Explanation

Multiple Choice, Algebra

11. The Tabula Rasa Home Improvement Company has been hired to paint the living room of a local residence. The living room is 14 feet wide by 16 feet long with a ceiling height of 9 feet. A single window measures 4 feet by 6 feet. Two doors measure 8 feet by 3.5 feet and 8 feet by 3 feet respectively. Based on the conservative estimate that one gallon of paint will cover 200 square feet of wall space, how many gallons of paint will be needed to coat the living room walls?

1 gallon

2 gallons

3 gallons

4 gallons

5 gallons

Word Problem, Geometry

Explanation

Word Problem, Geometry

12. The equation C = 15 + 0.23k approximates the cost of electricity for residential customers in kilowatt hours when k is the number of kilowatt hours for 0 ≤ k ≤ 100, and C is the total cost. Based on this equation, which of the following statements is true?

Each kilowatt hour of electricity costs $0.23

Each kilowatt hour of electricity costs $0.38

Each kilowatt hour of electricity costs $1.03

Each kilowatt hour of electricity costs $1.73

Each kilowatt hour of electricity costs $15.23

Word Problem, Functions

Explanation

Word Problem, Functions