ACT Practice #1
Name:
1. Ellen works at a car wash where she makes $52.00 per day, and $2.25 for each car she
washes. On a recent day, Ellen made $81.25. How many cars did she wash that day?
A. 11
B. 13
C. 14
D. 15
E. 18
2. In triangle XYZ, pictured below, angle X is 30°, and the measure of angle Y is four times the measure
of angle Z. What is the measure of angle Y?
A. 30°
B. 50°
C. 80°
D. 120°
E. 150°
3. Which of the following is the equivalent of 3.7 × 10–4?
A. 0.037
B. 0.0037
C. 0.00037
D. 0.000037
E. 0.0000037
4. A 45-member football team is having a bake sale to raise money for uniforms. If the
uniforms cost $22.50 each, and the team raised $875.00 at the bake sale, how much more
money will they need in order to assure that every member of the team has a uniform?
A. $85.00
B. $102.50
C. $125.00
D. $130.00
E. $137.50
5. If x3 + 11 = 3, what is the value of x?
A. -8
B. -2
C. 2
D. 3
E. 8
Questions
6. In parallelogram QUAD below, what is the measure of angle QUA?
A. 95°
B. 105°
C. 130°
D. 150°
E. 175°
7. David went running on Monday. He ran 4.5 miles in 40 minutes. If he runs the same
pace for 60 minutes on Tuesday, how many miles will he run?
A. 5.5
B. 6.75
C. 7.5
D. 8.25
E. 9.5
8. In the figure below, line m is parallel to line n, and line p is parallel to line g.
Which of the following angles does not have the same measure as angle X?
A. A
B. B
C. C
D. D
E. E
9. If x = -5 and y = 3, then x2y + xy2 =
A. -15
B. -5
C. 15
D. 20
E. 30
10. Two whole numbers have a greatest common factor of 9 and a least common multiple of 54. Which
54. Which of the following pairs satisfy these conditions?
A. 3 and 9
B. 6 and 12
C. 6 and 18
D. 12 and 18
E. 18 and 27
11. In the triangle below, line DE is parallel to base AC. What is the measure of
angle B?
A. 50°
B. 60°
C. 70°
D. 80°
E. It cannot be determined from the information provided.
12. Which of the following inequalities accurately describes the graph below?
A. x > -7
B. -7 > x
C. -7 < x
D. x = -7
E. x = -7
13. If 3 quarts of milk costs $5.76, and there are 32 ounces in a quart, then what is the cost
per ounce of milk?
A. $0.04
B. $0.06
C. $0.07
D. $0.08
E. $0.12
14. If (x + b)2 = x2 + 16x + b2, then b must equal
A. 4
B. 8
C. 16
D. 32
E. 256
15. Henrietta walked 132 paces directly north, and then turned facing directly east and
walked another 36 paces. To the nearest tenth, how many paces is she now from where
she started?
A. 168
B. 156.2
C. 142
D. 136.8
E. 134.2
Questions
ACT Review #2
Name:
1. In a standard coordinate plane, how many times will the graph of (x - 8)(x + 3)(x + 6)
intersect the x-axis?
A. 2
B. 3
C. 4
D. 9
E. 12
2. Scott’s children have a play area that measures 70 feet wide by 145 feet long. He
wants to increase their play area by 2,724 square feet by increasing both dimensions
by the same amount. The new dimensions of the play area will be
A. 74 feet × 149 feet
B. 78 feet × 153 feet
C. 82 feet × 157 feet
D. 85 feet × 160 feet
E. 87 feet × 162 feet
3. A floor has dimensions measured in feet, as shown below. The tile on the floor needs to
be replaced by new tile that costs $1.20 per square foot. What will be the cost to retile
the floor?
A. $255.20
B. $285.20
C. $305.20
D. $325.80
E. $355.20
4. ( )( ) ÷ ( )( ) =
A.
B.
C.
D.
E.
5. If x = -5 is a solution for the equation -2x2 - 9x + b = 0, then b =
A. -25
B. -5
C. 0
D. 5
E. 25
6. The temperature in degrees Fahrenheit, t, on a winter day must satisfy the equation
|t - 34| < 42. Which of the following temperatures, in degrees Fahrenheit, is NOT in
this range?
A. -12
B. -5
C. 15
D. 33
E. 61
7. A chord 48 inches long is 10 inches from the center of a circle, as shown below. What
is the radius of the circle?
A. -26
B. -6
C. 0
D. 6
E. 26
8. For all values of x where
=
A.
B.
C.
D.
E.
Please use the following to answer Questions 9 - 11.
Triangle XYX is shown below in the standard (x,y) coordinate plane.
9. What is the area of triangle XYZ, in square units?
A. 24.75
B. 49.5
C. 69.5
D. 99
E. 102.5
10. Which of the following are the coordinates of point Y after a
90ocounterclockwise rotation about the origin?
A. (-8,2)
B. (-8,-2)
C. (2,-8)
D. (8,-2)
E. (-2,8)
11. Which of the following is closest to the perimeter of triangle XYZ, in
coordinate units?
A. 28.7
B. 30.5
C. 32.2
D. 35.4
E. 37.1
Questions
12. If 2x = 2y - 6, then (y - x)4 =
A. 9
B. 27
C. 36
D. 48
E. 81
13. If sin(x) =
and cos(x) =
, then tan(x) =
A. –
B. –
C.
D.
E.
14. In an isosceles right triangle, the hypotenuse is 16. What is the length of one
of the sides of the triangle?
A. 4
B. 9
C. 6
D. 8
E. 12
15. |3|3 - |-7| - 13 =
A. -27
B. -7
C. 0
D. 7
E. 14
ACT Review #3
Name:
1. In the standard (x,y) coordinate plane, what is the center of a circle with the
equation (x + 5)2 + (y - 8)2 = 12?
A. (5,-8)
B. (5,8)
C. (-5,8)
D. (8,-5)
E. (-8,5)
Questions
2. For all values a, b, and c, if a > b > c, which of the following statements
CANNOT be true?
I. a = c
II. a < c
III. a > c
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
3. What is the slope of the line with the standard equation 5x - 6y = 11?
A. B. C.
D.
E.
4. Josie gathered strawberries and made strawberry preserves and strawberry
muffins. If the number of jars of preserves, j, was 9 more than twice the
number of muffins, m, that resulted from the strawberry gathering, which of
the following properly depicts the relationship between the number of muffins
and the number of jars of preserves?
A. j = 9(2m)
B. j + 9 = 2m
C. 2m - 9 = j
D. j - 9 = 2m
E.
= 2m
5. What is the largest integer value of z that satisfies the inequality
>
?
A. 23
B. 22
C. 21
D. 20
E. 19
6. 100 households were surveyed to determine the number of computers in
each of the households. The results are shown in the chart below. What is the
average number of computers per household for the 100 households
surveyed?
# of computers in household
# of households
1
2
3
4
5
38
33
21
7
1
A. 1.2
B. 1.8
C. 2.0
D. 2.2
E. 2.6
7. In the standard (x,y) coordinate plane, what is the x-intercept of a line that
has a slope of and passes through the point (-5,2)?
A.
B. 0
C. D. E. 5
8. The formula for calculating simple interest is I = Pr, where I represents the interest
earned, P represents the principal, or original investment, and r represents a fixed
interest rate. If a principal investment earned interest of $27.00 at an interest rate of
6%, what was the principal investment?
A. $450.00
B. $405.00
C. $315.00
D. $225.00
E. $135.00
9. In the right triangle XYZ shown below, the hypotenuse is 24 centimeters
long. The cosine of angle Z is . How long is side YZ?
A. 17
B. 20
C. 21
D. 22
E. 23
10. The average of a, b, and c is 9, and the average of a, b, c, d, and e is 12.
What is the sum of d and e?
A. 33
B. 41
C. 51
D. 53
E. It cannot be determined from the information given.
11. What are the solutions for the equation 3x2 + 5x - 28 = 0?
A. x = , x = 4
B. x = , x = -4
C. x = , x = 4
D. x = , x = -4
E. x = - , x = 7
Questions
12. For what value of k does the equation x2 + 2kx + 4k = 0 have exactly one
real solution?
A. -8
B. -4
C. 0
D. 4
E. 8
13. If the circumference of a circle is
radius?
inches, how long, in inches, is its
A.
B.
C.
D.
E. 6
14. The area of trapezoid ABCD, shown below, is 105 square units. What is the
length of base AD, in linear units?
A. 16
B. 18
C. 20
D. 22
E. 23
15. The figure below is a regular octagon. What is the measure of one of the
interior angles of the octagon?
A. 90°
B. 105°
C. 135°
D. 145°
E. 160°
ACT Review #4
Name:
1. This Sunday, seven people are each willing to work a single one-hour shift volunteering
at a pet shelter. If the shelter’s hours are 10 AM to 3 PM, how many different ways can
the shifts be filled?
A. 7
B. 49
C. 840
D. 2,520
E. 5,040
2. If |x| = x + 48, then x =
A. -48
B. -24
C. 0
D. 24
E. 48
3. If y = 8a - 2 and x = 2a + 4, which of the following expresses y in terms of x?
A. y = 10x + 2
B. y = 6x - 6
C. y = 4x - 18
D. y = 6x + 8
E. y = 8x - 2
4. A circle in the standard (x,y) coordinate plane has a center at (6,-7) and a radius of 9.
Which of the following equations represents the circle?
A. (x - 6)2 + (y + 7)2 = 9
B. (x + 6)2 + (y - 7)2 = 81
C. (x - 6)2 + (y + 7)2 = 81
D. (x + 7)2 + (y - 6)2 = 9
E. (x - 7)2 + (y + 6)2 = 81
5. If 20% of x equals 80% of y, which of the following correctly expresses y in terms of x?
A. y = 20% of x
B. y = 25% of x
C. y = 45% of x
D. y = 60% of x
E. y = 80% of x
6. Jason has a container holding 10 white chips, 7 blue chips, and 3 red chips. He needs to
add exactly the right number of chips to create a 45% probability that a randomly drawn
chip will be red and a 30% probability that a randomly drawn chip will be blue. How
many chips of each color should he add?
A. 7 blue and 9 red chips
B. 3 white, 5 blue, and 8 red chips
C. 5 blue and 15 red chips
D. 2 white, 3 blue, and 18 red chips
E. 11 blue and 17 white chips
7. What is the solution to the equation 92x + 2 = 27x + 1?
A. -1
B.
C.
D. 2
E. 3
8. If cos a = ,
<a<
, then tan a =
A. B. C.
D.
E.
9. The dimensions of the outer edge of the frame shown below are as indicated. The frame
has a uniform width of of an inch. What is the area, in square inches, of the visible
portion of the picture inside the frame?
A. 725
B. 742.25
C. 762.04
D. 789.25
E. 834.06
10. An elementary school had 1,200 students enrolled in the year 2000 and 1,500 students
in the year 2003. If the student population, P, grows as a linear function of time, t,
where t is the number of years after 2000, how many students will be enrolled in the
school in 2007?
A. 1,800
B. 1,900
C. 2,000
D. 2,050
E. 2,150
11. It takes 1.5 hours for Evan to mow the lawn. Steven can mow the same lawn in 2
hours. Assuming their work rates remain constant, how long, to the nearest tenth of a
minute, will it take Evan and Steven, working together, to mow the lawn?
A. 41.6 minutes
B. 45 minutes
C. 47.8 minutes
D. 49 minutes
E. 51.4 minutes
12. The total surface area of all six sides of the rectangular box below is equal to 128
square inches. What is x in inches?
A. 12
B. 10
C. 8
D. 6
E. 4
13. Which of the following equations corresponds to the data in the table below?
x -20 -10 0 5 20
y -
-
-
A. y =
B. y =
C. y =
D. y =
E. y =
Skip this question for now.
14. Triangle XYZ is reflected across the line y = -x to have the image X’Y’Z’ in the standard
(x,y) coordinate plane so that X reflects to X’. The coordinates of point X are (m,-n).
What are the coordinates of X’?
A. (n,-m)
B. (n,m)
C. (m,n)
D. (-m,-n)
E. (-n,m)
15. What is the smallest possible value for the product of 2 real numbers that differ by 9?
A. -24
B. -20
C. -4
D. 0
E. 8