FREE ACT Math Question and Answers

Question 1

A automobile gets 27 miles per gallon on average. Which of the following best approximates how much gas would cost for this automobile to travel 2,727 average miles at a price of $4.04 per gallon?

Accepted Answer

$408.04

Answer

The total cost is $408.04 because:
1. Gallons Needed: You divide the 2,727 miles by the 27 MPG to find the total fuel required, which is 101 gallons.
2. Total Cost: You multiply the 101 gallons by the price of $4.04 per gallon to get the final cost of $408.04.

Calculation: (2,727 miles ÷ 27 MPG) x $4.04/gallon = $408.04

Question 2

How much does the value of 3x2 - 2y surpass the value of 2x2 - 3y when x = 3 and y = 5?

Accepted Answer

14

Answer

The right response is 14, so. When you use the given formulas with x = 3 and y = 5, you get 3x2 - 2y = 3(3)2 - 2(5) = 27 - 10 = 17 and 2x2 - 3y = 2. (3) ² – 3(5) = 18 – 15 = 3. After that, take 3 away from 17 to get 14.

Question 3

When 2x + 3 Equals 3x - 4 what is the value of x?

Accepted Answer

7

Answer

The right answer is 7. To solve this issue, first obtain 3 = x - 4 by deducting 2x from each side of the equation. So that x Equals 7, add 4 to each side.

Question 4

What do 42, 126, and 210 have in common most?

Accepted Answer

42

Answer

Since 42 is the greatest number that is a factor of all three numbers given, it is the right response. By writing out the prime factorization of all three integers and then raising each of the shared prime factors to the lowest power that results for that factor, you may get the greatest common factor: 42 = 2 × 3 × 7; 126 = 2 × 3² × 7; 210 = 2 × 3 × 5 × 7. The largest common factor is therefore 2 3 7 = 42.

Question 5

A company's revenues increased by $3 million from the first to the second year, and they doubled from the third to the second year. What were sales in millions of dollars for the first year if sales for the third year were 38 million?

Accepted Answer

16

Answer

The right response is this. Sales for the second year are equal to x + 3 if x is the first year's sales. Sales for the third year equal 2(x + 3) since they were twice as high as those for the second year. 38 were the sales for the third year, so 2(x + 3) = 38. You may start by dividing each side of this equation by 2, which would give you x + 3 = 19. x = 16 is then obtained by deducting 3 from both sides.

ACT Practice Test

ACT Practice Test

FREE ACT Math Question and Answers