**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?**

A. 10 feet

B. 15 feet

C. 20 feet

D. 30 feet

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?**

F. 2 miles

G. 1 mile

H. ½ mile

J. ¼ mile

K. 1/8 mile

**3. The 5 consecutive integers below add up to 190. What is the value of x?**

x – 2

x – 1

x

x + 1

x + 2

A. 38

B. 37

C. 36

D. 35

E. 34

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

F. 30xy

G. 60xy

H. 60(xy)^{2}

J. 72(xy)^{2}

K. 72xy

**5. I8-7 I – I7-8 I =**

A. -1

B. 0

C. 1

D. 2

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?**

F. 5

G. 7

H. 9

J. 11

K. 13

**7. If a = -2 and b = -4, then a ^{2}b + 2ab =**

A. 0

B. 4

C. 16

D. 32

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 H.** 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 G.** 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 J.** 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