[Apr-2023] ACT-Math Exam Dumps, ACT-Math Practice Test Questions [Q24-Q49]

[Apr-2023] ACT-Math Exam Dumps, ACT-Math Practice Test Questions

Attested ACT-Math Dumps PDF Resource [2023]

NEW QUESTION 24
The function m#n is equal to m 2 - n.
Which of the following is equivalent to m#(n#m)?

A. (n 2 - m) 2 - m
B. -n
C. n 2 - m
D. (m 2 - n) 2 - n
E. m2+ m - n 2

Answer: E

NEW QUESTION 25
FILL BLANK
If -6 b + 2 a - 25 = 5 and

, what is the value of

?

Answer:

Explanation:
1/4

NEW QUESTION 26
If p < 0, q > 0, and r > p, then which of the following must be true?

A. p + r < r + q
B. pr < rq
C. r + q > q
D. p + r > 0
E. rp < rq

Answer: A

NEW QUESTION 27
If 2(x - 14) = 22, then x = ___.

A. 0
B. 1
C. 2
D. 3

Answer: A

NEW QUESTION 28
Four copy machines make 240 total copies in three minutes.
How long will it take five copy machines to make the same number of copies?

A. 2 minutes, 15 seconds
B. 3 minutes, 36 seconds
C. 2 minutes, 24 seconds
D. 2 minutes
E. 2 minutes, 45 seconds

Answer: C

NEW QUESTION 29
If

and

,

___.

A. x/y + x.
B. 2xy
C. x/y + y.
D. y2 + x.
E. x/y + 1.

Answer: A

NEW QUESTION 30
An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight.
How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?

A. 21.0
B. 4.2
C. 12.6
D. 14.0
E. 18.0

Answer: C

NEW QUESTION 31
Line AC is a diagonal of square ABCD.
What is the sine of

A. 1/2
B.
C.
D.
E. Cannot be determined

Answer: D

NEW QUESTION 32
In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

A. 78 cm2
B. 39 cm2
C. 25 cm2
D. 89 cm2
E. 64 cm2

Answer: B

NEW QUESTION 33
A pair of Jump sneakers costs $60 and a pair of Speed sneakers costs $45.
For the two pairs of sneakers to be the same price

A. the price of a pair of Speed sneakers must increase by 15%.
B. the price of a pair of Jump sneakers must decrease by 15%.
C. the price of a pair of Jump sneakers must decrease by 25%.
D. the price of a pair of Speed sneakers must increase by 25%.
E. the price of a pair of Jump sneakers must decrease by 33%.

Answer: C

NEW QUESTION 34
The measures of the length, width, and height of a rectangular prism are in the ratio 2:6:5.
If the volume of the prism is 1,620 mm3, what is the width of the prism?

A. 18 mm
B. 27 mm
C. 3 mm
D. 9 mm
E. 6 mm

Answer: A

NEW QUESTION 35
If the surface area of a cube is 384 cm2, what is the volume of the cube?

A. 115 2 cm3
B. 4096 cm3
C. 64 cm3
D. 256 cm3
E. 51 2 cm3

Answer: E

NEW QUESTION 36
What is the sum of the solutions of the 2 equations below?
8 x = 12
2 y + 10 = 22

A.
B. 0
C.
D.
E. 1

Answer: A

NEW QUESTION 37
FILL BLANK
A bus holds 68 people. If there must be one adult for every four children on the bus, how many children can fit on the bus?

Answer:

Explanation:
52

NEW QUESTION 38
The scatterplot above shows the speeds of different runners over time.

Which of the following could be the equation of the line of best fit?

A. S = 2 × (t + 15)
B. S = -t + 25
C. S = -1/2 × (t - 20)
D. S = -2 × (t - 15)
E. S = -1/2 × (t - 10)

Answer: D

NEW QUESTION 39
The fluctuation of water depth at a pier is shown in the figure below.

One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph.
Which value is it?

A. 0
B. 1
C. 2
D. 3
E. 4

Answer: A

NEW QUESTION 40
If b3 = -64, then b 2 - 3b - 4 =:

A. -6.
B. 24.
C. 28.
D. 0.
E. -4.

Answer: B

NEW QUESTION 41
Given the following figure with one tangent and one secant drawn to the circle, what is the measure of

?

A. 0
B. 1
C. 2
D. 3
E. 4

Answer: A

NEW QUESTION 42
Which of the following is an irrational number?

A.
B.
D
C.
D. 4 -3

Answer: C

NEW QUESTION 43
The area of an isosceles right triangle is 18 cm2.What is the length of the hypotenuse of the triangle?

A.
cm
B. 6 cm
C.
cm
D.
cm
E.
cm

Answer: D

NEW QUESTION 44
The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (ABC), the walls are perpendicular to the level floor (

),

, F is the midpoint of

, and

.

During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mr, Smith plans to build a 3-foot-wide walkway around the outside of the cabin, as shown in the floor plan.
What will be the area, in square feet, of the top surface of the walkway?

A. 0
B. 1
C. 2
D. 3
E. 4

Answer: E

NEW QUESTION 45
If 4x + 5 = 15, then 10x + 5 =:

A. 15.
B. 30.
C. 2.5.
D. 25.
E. 22.5.

Answer: B

NEW QUESTION 46
A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet's owner will reward the finder with 1 bill drawn randomly from the wallet.
What is the probability that the bill drawn will be a twenty-dollar bill?

A. 4/51
B. 1/8
C. 2/5
D. 2/3
E. 1/20

Answer: C

NEW QUESTION 47
For what positive real value of k , if any, is the determinant of the matrix

equal to k ? (Note: The determinant of matrix

equalsad - bc .)