ACT math practice test 26

1. The production cost of x computers for a company over one year is $175x + $150,000. To minimize production costs in a given year to $465,000, how many computers can the company make in that year?

F. 857
G. 1,725
H. 1,800
J. 2,657
K. 3,514

2. Given g(x) = , what is g()?

D. 2

3. Hannah is 5 years younger than Nora, who is x years old. Which of the following is an expression for Hannah's age in 2 years?

F. x - 3
G. x + 3
H. x + 7
J. 2x - 3
K. 3

4. A rectangle is 5 times as wide as it is long. The area of the rectangle is 320 square feet. What is the perimeter of the rectangle, in feet?

A. 8
B. 40
C. 48
D. 64
E. 96

5. In the figure below, C and D are both on the measure of BAC is equal to the measure of DAE and the measure of ACD is equal to the measure of ADC. Which of the following statements must be true?

(Note: The symbol ≅ means "is congruent to.")

F. ABC is similar to AED.
G. The areas of triangles ACD and ADE are equal.
K. and are perpendicular.

6. Which of the following is equivalent to 8?

A. -1×85
E. 2

7. Admission to the martial arts tournament is $30, but participants must purchase separate tickets for each event they wish to participate in once inside. Each event is the same price as any other event. The graph below shows the total cost for a person, for admission and events, as a function of the number of events paid for. One of the following is the price of a single event. Which one is it?


F. $11
G. $12
H. $13
J. $14
K. $15

8. A right triangle, shown below, has a longer leg measuring 16 centimeters. How long is the hypotenuse of the triangle, in centimeters?

A. 8
B. 8
C. 16
D. 16
E. 32

9. If you add up 5 consecutive odd integers that are each greater than 15, what is the smallest possible sum?

F. 75
G. 90
H. 95
J. 100
K. 105

10. A department store escalator is 25 feet long and forms an angle of 43° with the floor, which is horizontal. Which of the follow is an expression for the horizontal distance of the escalator from beginning to end?

A. 25 sin 43°
B. 25 cos 43°
C. 25 tan 43°
D. 25 csc 43°
E. 25 sec 43°

11. If x - 15 = |-5|, then x =?

F. -20
G. -10
J. 10
K. 20

12. A grocery store is running a sale on seasonal berries. During the sale, the store sells packages of blueberries for $4 each and packages of strawberries for $6 each. Kate purchased nine packages of fruit for her mother's dinner party for $40. How many packages of blueberries did she purchase?

A. 2
B. 4
C. 6
D. 7
E. 10

13. In VWY below, X lies on ; Z lies on ; and a, b, c, and d are angle measures, in degrees. The measure of Y is 45°. What is a + b + c + d?

F. 315
G. 270
H. 225
J. 135
K. 90

14. Triangle ACE, shown in the figure below, is isosceles with base . B lies on and D lies on . Segments and bisect AEC and CAE respectively. Which one of the following angle congruences is necessarily true?


15. A trapezoid has parallel bases that measure 3 inches and 9 inches and a height that measures 6 inches. What is the area, in square inches, of the trapezoid?

F. 18
G. 24
H. 30
J. 36
K. 54