PreACT Math

Algebra

100

Solve for x:

2x + 5 = 13

What is

x = 4

200

Simplify:

(x + 3)(x - 2)

What is

x² + x - 6 

300

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

What is

x=12

400

Solve for x:

2(x-4) = 3x+1

What is

x = -9

500

If x² - 9 = 0, what are the solutions of x?

What are

3 and -3

Geometry

100

What is the sum of the interior angles of a triangle?

What is 

180 degrees

200

A rectangle has a length of 8 and a width of 5. What is its area?

What is

40

300

What is the formula for the circumference of a circle with radius r ?

What is

2pir

400

If two angles in a triangle are 45 degrees and 55 degrees, what is the third angle?

What is

80 degrees

500

The area of a right triangle is 24 and the base is 6.  What is the height?

What is

8

Functions

100

If f(x) = 2x+1, what is f(3)?

What is

7

200

What is the y-intercept of 

y = 5x-4

What is

-4

300

If g(x) = x² , what is g(-2)

What is

4

400

If f(x) = 3x-2 , solve for x when f(x) = 7

What is

x = 3

500

If h(x) = x² - 4x + 3, what is h(5)?

What is

8

Statistics & Probability

100

What is the mean of 2, 4, and 12?

What is

6

200

If you flip a fair coin, what is the probability of getting of getting heads?

What is

1/2

300

What is the median of the numbers 3, 5, 7, 9, 11?

What is

7

400

If a number is chosen at random from 1 to 10, what is the probability it is even?

What is

1/2

500

What is the mode of the data set 2, 4, 4, 6, 8, 8, 8, 9?

What is

8?

Word Problems

100

If you buy 3 apples at $2.25 each, how much do you spend?

What is

$6.75

200

A train travels 60 miles in 1.5 hours.  What is its average speed?

What is

40 miles per hour

300

You have 5 tennis rackets and 3 baseball bats. What fraction are tennis rackets?

What is

5/8

400

Asher earns $12.50 per hour.  Samantha earns one and a half times as much.  How much does Samantha earn per hour?  

What is

$18.75

500

A rectangle's length is 4 more than its width.  If the perimeter is 28, what is the length?

What is

9