ACT QUESTION OF THE DAY

Part 2

1. A house is 45 feet wide and divided into two rooms. If one room is twice as wide as the other, how wide is the smaller room?

O A. 10 feetO B. 15 feetO C. 20 feetO D. 30 feetO E. 35 feet

2. Abe averages 3 miles per hour running and Beatriz averages 4 miles per hour running. How much further can Beatriz go in ½ hour than Abe can?

O A. 2 milesO B. 1 mile O C. ½ mile O D. ¼ mileO E. 1/8 mile

3. The 5 consecutive integers below add up to 190. What is the value of x? x - 2x - 1x x + 1x + 2

O A. 38O B. 37O C. 36O D. 35O E. 34

4. What is the least common multiplier of 5, 4x, 6y and 3xy?

O A. 30xyO B. 60xyO C. 60(xy)2

O D. 72(xy)2

O E. 72xy

5. | 8-7 | - | 7-8 | =

O A. -1O B. 0O C. 1O D. 2O E. 3

6. The child care center charges $11 an hour plus a daily $3 drop-off fee. How many hours of childcare did Robert pay for if he dropped his son off 3 days last week and paid $130 at the end of the week?

O A. 5O B. 7O C. 9O D. 11 O E. 13

7. If a = -2 and b = -4, then a2b + 2ab =

O A. 0O B. 4O C. 16O D. 32O E. 40

Answer Key

1. The best answer is B. If a distance of 45 feet wide is split into two portions, one twice as long as the other, we can write this mathematically as 2x + x = 45 or 3x = 45. x (the width of the smaller room) then = 15.  2. The best answer is C. If Abe goes 3 miles in one hour, he goes half of that or 1 ½ miles in one half hour. Similarly, Beatriz can go 2 miles in one half hour. The answer therefore = 2 - 1 ½ = ½ .  3. The best answer is A. x - 2 + x - 1 + x + x + 1 + x + 2 = 5x = 390. x = 38  4. The best answer is B. 30xy is not a multiple of 4x. The next smallest figure listed is 60xy which is a multiple of all the numbers given and is therefore the correct answer.  5. The best answer is B. The absolute value of 8 - 7 is 1. The absolute value of 7 - 8 is also 1. 1 - 1 = 0  6. The best answer is D. Robert paid $9 in drop-off fees. If he paid $130 total and we use x to represent the number of hours of childcare he paid for, that means that 130 = 9 + 11x. 121 = 11x. x = 11.

7. The best answer is A. -2 squared is 4. 4(-4) + 2(8) = -16 + 16 = 0