TCAP Math Problem Solving 3

Question 1

If 2x − 7 = 13, what is the value of x?

Accepted Answer

10

Answer

Add 7 to both sides: 2x = 20, then divide by 2: x = 10.

Question 2

A pizza is cut into 8 equal slices. Tom eats 3 slices and Sarah eats 2 slices. What fraction of the pizza is left?

Accepted Answer

3/8

Answer

3 + 2 = 5 slices eaten; 8 − 5 = 3 slices left; 3/8 remains.

Question 3

A car uses 3 gallons of gas to travel 90 miles. How many gallons are needed to travel 210 miles?

Accepted Answer

7 gallons

Answer

Rate = 90 ÷ 3 = 30 miles per gallon; gallons needed = 210 ÷ 30 = 7.

Question 4

What is the value of 4³ − 5²?

Accepted Answer

39

Answer

4³ = 64 and 5² = 25; 64 − 25 = 39.

Question 5

On a number line, which value is between −3 and −1?

Accepted Answer

−2

Answer

−2 lies between −3 and −1 on the number line.

(TCAP) Tennessee Comprehensive Assessment Program Practice Test