Core Academic Skills Assessment Math 5

Question 1

A map uses a scale of 1 inch = 50 miles. Two cities are 3.8 inches apart on the map. What is the actual distance?

Accepted Answer

190 miles

Answer

3.8 × 50 = 190 miles.

Question 2

Solve for y: 4y/3 = 20

Accepted Answer

y = 15

Answer

Multiply both sides by 3 to get 4y = 60, then divide by 4 to get y = 15.

Question 3

What is the greatest common factor (GCF) of 48 and 72?

Accepted Answer

24

Answer

The factors of 48 include 1,2,3,4,6,8,12,16,24,48; factors of 72 include 1,2,3,4,6,8,9,12,18,24,36,72; the greatest common factor is 24.

Question 4

A data set has a mean of 50 and a standard deviation of 5. Which value is exactly 2 standard deviations above the mean?

Accepted Answer

60

Answer

2 standard deviations above the mean = 50 + 2(5) = 60.

Question 5

Which expression is equivalent to 3(2x − 4) − 2(x + 1)?

Accepted Answer

4x − 14

Answer

6x − 12 − 2x − 2 = 4x − 14.

Core Academic Skills Assessment Practice Test