7.4 PROBLEM SOLVING • Simplify Numerical Expressions

The books in an unusual library are labeled with numerical expressions. Katrina needs to find the book with a numerical expression that has a value of 12. Which one should she choose?

• (6 + 26) – (4 × 5)

• 2 × (15 – 7)

• 10 + 8 – 36 ÷ 9

• (25 – 4) ÷ 7

Franco needs to simplify 3 × (8 – 4) + 7. What should be his first step?

• Add 7 to 4.

• Subtract 4 from 8.

• Multiply 3 by 7.

• Add 3 to 7.

Multi-Step

Sarah simplified each of the expressions shown. What is the difference between the values of the two expressions?

3 × 12 – 9 + 10

3 × (12 – 9) + 10

• 9

• 18

• 12

• 22

Which expression has a value of 6?

• (6 ÷ 3) × 4 + 8

• 27 − 9 ÷ 3 × (4 + 1)

• (18 + 12) × 6 − 4

• 71 − 5 × (9 + 4)

Simplify the expression.

10 − (2 × 4) + 12

• 14

• 19

• 5

• 12

Simplify the expression.

14 + 35 ÷ 7

• 14

• 19

• 5

• 12

Simplify the expression.

11 + (31 − 4) ÷ 9

• 14

• 19

• 5

• 12

Simplify the expression.

25 − 4 × 5

• 14

• 19

• 5

• 12

Simplify the expression.

3 × (6 + 3) − 15

• 14

• 19

• 5

• 12

Simplify the expression.

30 − 14 ÷ 2

• 23

• 19

• 5

• 12