ACT Math

It takes eight people 12 hours to clean an office. How long would it take six people to clean the office?A . 9 hoursB . 15 hoursC . 16 hoursD . 18 hoursE . 24 hoursView AnswerAnswer: C Explanation: There is an inverse relationship between the number of people and...

If 4x + 5 = 15, then 10x + 5 =:A . 2.5.B . 15.C . 22.5.D . 25.E . 30.View AnswerAnswer: E Explanation: If 4x + 5 = 15, then 4x = 10 and x = 2.5. Substitute 2.5 for x in the second equation: 10 × 2.5 +...

If the expression , then one possible value of x could be:A . C 1B . C 2C . C 5D . 1E . 2View AnswerAnswer: A Explanation: Cross multiply and solve for x: 3 × 2x = ( 2 + x) × (x C 5) 6x = x 2...

In the diagram above, line OA is congruent to line OB. What is the measure of arc CD?A . 27.5ºB . 55ºC . 70ºD . 110ºE . 125ºView AnswerAnswer: C Explanation: Triangle AOB is isosceles because line OA is congruent to line OB. andare both 55º, which means that= 180 C...

The function m#n is equal to m 2 C n. Which of the following is equivalent to m#(n#m)?A . CnB . n 2 C mC . m2+ m C n 2D . (m 2 C n) 2 C nE . (n 2 C m) 2 C mView AnswerAnswer: C Explanation:...

If g > 0 and h < 0, which of the following is always positive?A . g × hB . g + hC . g C hD . |h| C |g|E . hgView AnswerAnswer: C Explanation: A positive number minus a negative number will not only always be a positive...

Which of the following is the midpoint of a line with endpoints at (C2, C8) and (8, 0)?A . (3, 4)B . (3, C4)C . (C5, 4)D . (5, C4)E . (6, C8)View AnswerAnswer: B Explanation: The midpoint of a line is equal to the average of the x -...

Which of the following has the greatest value when x = C1/4?A . x C1B . C3/8xC . 4x + 3D . 16xE . 1/81xView AnswerAnswer: E Explanation: x C1 = 1/x = 1 ÷ (C1/4) = C4; C3/8x = C3 ÷ 8 × (C1/4) = 3/2; 4x + 3...

FILL BLANK If , then a = 3 when z = ___.View AnswerAnswer: 27 Explanation: Substitute 3 for a : . To solve for z , raise both sides of the equation to the power 2/3: , .

A dormitory now houses 30 men and allows 42 square feet of space per man. If five more men are put into this dormitory, how much less space will each man have?A . 5 square feetB . 6 square feetC . 7 square feetD . 8 square feetE . 9...