Page 25 - Math Course 1 (Book 2)

Evaluating Expressions

Grouping Symbols
Your Turn!

Examples Evaluating Expressions

Evaluate (8 – 3) • 3(3 + 2).
Evaluate the expression 3 + 6² ÷ 4 – 5.
(8 – 3) • 3(3 + 2) = 5 • 3(5) Evaluate inside
group symbols A. 7
B. –39
= 15(5) Multiply. C. –33
D. 1
= 75 Multiply. Answer

Answer 75
Grouping Symbols

Evaluate 4[12 ÷ (6 – 2)]².
Evaluate the expression 2(4 + 7) • (9 – 5).
2
4[12 ÷ (6 – 2)] = 4(12 ÷ 4) 2 Evaluate
innermost A. –60
expression f rst. B. 66
2
= 4(3) Evaluate expres- C. 88
sion in grouping D. 68
symbol.
Answer
= 4(9) Evaluate power.
= 36 Multiply.

Answer 36 Evaluate the expression 3[5 – 2 • 2]².

A. 9
5
2 – 6 • 2 B. 18
Evaluate C. 108
3
3 – 5 • 3 – 2
D. 3
5
2 – 6 • 2 Answer
3
5
means (2 –6•2)÷(3 –5•3–2)
3
3 – 5 • 3 – 2
5
2 – 6 • 2 = 32 – 6 • 2 Evaluate the power
3
3
3 – 5 • 3 – 2 3 – 5 • 3 – 2 in the numerator. Evaluate 3 – 4 • 3 .
3
5
32 – 12 Multiply 6 and 2 in 2 – 5 • 3 – 2
=
3
3 – 5 • 3 – 2 the numerator. A. 1
20 Subtract 32 and 12 69
= B. 15
3
3 – 5 • 3 – 2 in the numerator.
20 Evaluate the power C. 4
=
27 – 5 • 3 – 2 in the denominator. 5
D. 9
20 Multiply 5 and 3 in
= 27 – 15 – 2 the denominator. Answer
20 or 2
Answer
10
17