Daily Math Practice Challenge: Preparing for the ACT Exam-DAY 3

Welcome to our “Daily Math Practice Challenge: Preparing for the ACT Exam”! This challenge is designed to help you engage in targeted math practice every day, gearing up for the ACT exam. Through daily exercises, you will enhance your problem-solving speed, deepen your understanding of mathematical concepts, and strengthen your ability to tackle a variety of math problems.

 

1. The table below gives the lengths, widths, and heights, in feet, of 3 right rectangular prisms. The difference between the volume of Prism A and the volume of Prism B is how many times the volume of Prism C ?

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F. 0
G. 1
H. 5
J.  8
K. 12

Correct Answer:G

2. Which of the following is the complex conjugate of 2 + 7i ?

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Correct Answer:E

3. Given functions f(x) = 3x + 4 and g(x) = x² − 2, what is the value of f (g(−3))?

F. −29
G. −27
H. −20
J.  23
K. 25

Correct Answer:K

4. . Which of the following is equivalent to for all nonzero real numbers A and B ?Math1 7

A. 9AB
B. 9A²B²
C. 7A + 6AB²
D. 7A + 6B
E. 7A + 2B

Correct Answer:E

5. Which of the following lists gives the numbers below arranged in order from least to greatest?

\[ 0.6, 0.08, \frac{5}{8} \]

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Correct Answer:E

6. A 2-digit number will be formed by randomly selecting each digit from the set {2, 3, 9}. What is the probability that the number formed will be 99 ?

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Correct Answer:G

7. Which of the following expressions is equivalent to (y + 8)³ ?

F. y³ + 24y² + 192y + 512
G. y³ + 16y + 512
H. y³ + 16y + 64
J. y³ + 512
K. y³ + 24

Correct Answer:F

8. The average of a list of 4 numbers is 88.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 50, and the fourth number in the new list is 70. What is the average of this new list of numbers?

A. 83.5
B. 88.0
C. 93.0
D. 95.0
E. 96.8

Correct Answer:C

9. Which of the following number line graphs is that of the solution set to the inequality −2x + 7 ≥ 19 ?

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Correct Answer:F

10. A circle with radius 4 centimeters is inscribed in a square, as shown below. Which of the following represents the area, in square centimeters, of the shaded region?

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A. 32 − 8π
B. 32 − 16π
C. 32 + 16π
D. 64 − 16π
E. 64 + 16π

Correct Answer:D

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