Which of the following expressions is equivalent to the expression given below?
(2x3 – x - 1) - 3(x4 + 2x3 - 2x2 – x + 3)
(F) x14 - 3
(G) -3x14
(H) -3x4 + 8x3 - 6x2 - 4x + 8
(J) -3x4 + 4x3 - 2x2 - 2x - 3
(K) -3x4 - 4x3 + 6x2 + 2x - 10
William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
(A) $2,400(B) $2,500(C) $2,600(D) $2,800(E) $3,000
Correct Answer: E
If -6≤a≤-4 and 3≤b≤7, what is the maximum value of |a - 2b|?
(F) 10 (G) 11 (H) 18 (J) 20 (K) 42
Correct Answer: J
What is the solution set for the equation |-x| = x?
（A）All real numbers （B） x ≥ 0 （C） x ≤ 0 （D） Only x = 0 （E） Only x = -1
Correct Answer: B
More ACT Math Exam Questions
- 1
The volume of a right circular cone with the bottom removed to create a flat base can be calculated from the following equation: V =
πh(R2 + r2 + Rr), where h represents the height of the shape and R and r represent its radii as shown in the figure below:
This formula can be used to determine the capacity of a large coffee mug. Approximately how many cubic inches of liquid can the cup shown below hold if it is filled to the brim and its handle holds no liquid?
- 2Kaylee is planning to purchase a car. She will need to borrow some of
the money and has a chart, shown below, that will help her to
approximate her monthly payment. The chart gives the approximate monthly
payment per $1,000 borrowed.
A
local dealership is having an end-of-the-modelyear clearance sale and
is offering 5% annual interest on new-car loans for 36, 48, or 60
months. The maximum amount that Kaylee can budget for her monthly car
payment is $300. Of the following loan amounts, which one represents the
maximum amount that Kaylee can borrow at 5% annual interest while
staying within her budget? - 3
Cyclist A averages 80 pedal revolutions per minute, and Cyclist B averages 61 pedal revolutions per minute. At these rates, how many more minutes does Cyclist B need than Cyclist A to make 9,760 pedal revolutions?
- 4
Which of the following is the sine of angle A in the right triangle below?
- 5In the real numbers, what is the solution of the equation 9x-4 = 273x + 2?