ACT math practice test 14

1. Among the following arithmetic operations, which could the emoticon represent given that the equation (8 2)3 - (4 1)2 = 48 is true?

I. Subtraction

II. Multiplication

III. Division

F. I only
G. III only
H. II and III only
J. I and III only
K. I, II, and III

2. Which of the following equations represents the linear relation shown in the standard (x,y) coordinate plane below?

A. y = -5x
B. y = -6x
C. y = -2x + 2
D. y = -5x + 6
E. y = -2x + 6

3. An integer, x, is subtracted from 6. That difference is then multiplied by 3. This product is 15 more than half the original integer. Which of the following equations represents this relationship?

F. 3(6 - x) = + 15
G. 3(6 - x) + 15 =
H. 3(6 - x) = 15 -
J. x - 6 × 3 =
K. 6 + 3 = + 15

4. The employees of two factories, X and Y, are comparing their respective production records. Factory X has already produced 18,000 units and can produce 120 units per day. Factory Y has produced only 14,500 units but can produce 155 units per day. If d represents the number of days (that is, days during which each factory is producing its maximum number of units), which of the following equations could be solved to determine the number of days until X's total production equals Y's total production?

A. 18,000 + 120d = 14,500 + 155d
B. 18,000 + 155d = 14,500 + 120d
C. (18,000 + 120)d = (14,500 + 155)d
D. (120 + 155)d = 18,000 - 14,500
E. (120 + 155)d = 18,000 + 14,500

5. A ramp used to access the side entrance to the DPC Candy Store, which is located 7 meters above the ground, covers 24 meters along the level ground from the edge of the building. How many meters long is the ramp?

F. 13
G. 14
H. 17
J. 23
K. 25

6. The expression 9(y + 3) - 2(4y - 4) is equivalent to:

A. y - 1
B. y + 15
C. y + 18
D. y + 23
E. y + 35

7. If a + 3b = 27 and a - 3b = 9, then b = ?

F. 3
G. 9
H. 14
J. 18
K. 36

8. When (2x + 4)2 is written in the format ax2 + bx + c, where a, b, and c are integers, what is the value of a + b - c?

A. -20
B. 4
C. 20
D. 32
E. 36

9. What is the area, in square meters, of the figure below?

F. 336
G. 330
H. 225
J. 82
K. 56

10. The table below gives the values of two functions, g and h, for various values of x. One of the functions expresses a relationship that can be expressed by the formula a + bx, where a and b are real number coefficients. What is the value of that function for x = 0?

xg(x)h(x)
-34
-223
-116
0
11
2 15
3 18

A. 0
B. 0.5
C. 1
D. 2
E. 9

11. What is the slope of the line represented by the equation 10y - 16x = 13?

F. -16
G.
H.
J. 10
K. 16

12. What is the sum of the 2 solutions of the equation x2 + 5x - 24 = 0?

A. -24
B. -8
C. -5
D. 0
E. 5

13. Two similar triangles have perimeters in the ratio 5:6. The sides of the larger triangle measure 12 in, 7 in, and 5 in. What is the perimeter, in inches, of the smaller triangle?

F. 18
G. 20
H. 22
J. 24
K. 32

14. In early November in Winnipeg, Manitoba, the temperatures for each of nine consecutive days were -9°C, 3°C, -7°C, 2°C, 5°C, 1°C, 0°C, -8°C, and -7°C. What was the median of the temperatures for these nine days in early November?

A. -7°C
B. 0°C
C. 1.5°C
D. 3°C
E. 5°C

15. When asked the price, in dollars, of his fancy calculator, Albert responded, "If you take the square root of the price, then add the price, the result is 66." What is the price, in dollars, of Albert's calculator?

F. 169
G. 144
H. 121
J. 13
K. 12