Five-Minute Check

CCSS

Then/Now

New Vocabulary

Key Concept: Order of Operations

Example 1:Evaluate Algebraic Expressions

Example 2:Evaluate Algebraic Expressions

Example 3:Real-World Example: Use a Formula

Content Standards

A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity.

Mathematical Practices

1 Make sense of problems and persevere in solving them.

You used the rules of exponents.

• Use the order of operations to evaluate expressions.

• Use formulas.

• variables

• algebraic expressions

• order of operations

• formula

Evaluate Algebraic Expressions

Evaluate (x – y)3 + 3 if x = 1 and y = 4.

(x – y)3 + 3 = (1 – 4)3 + 3 x = 1 and y = 4

= (–3)3 + 3 Subtract 4 from 1.

= –27 + 3 Evaluate (–3)3.

= –24 Add –27 and 3.

Answer: –24

A. 3

B. 4

C. 6

D. –3

Evaluate f + g2 – 3g if f = 5 and g = 2.

Evaluate Algebraic Expressions

A. Evaluate n – t(n2 – t) if n = 2 and t = 3.4.

n – t(n2 – t) = 2 – 3.4(22 – 3.4) n = 2 and t = 3.4

= 2 – 3.4(4 – 3.4) Evaluate 22.

= 2 – 3.4(0.6) Subtract 3.4 from 4.

= 2 – 2.04 Multiply 3.4 and 0.6.

= –0.04 Subtract 2.04 from 2.Answer: –0.04

Evaluate Algebraic Expressions

x = 5, y = –2, and z = –1

Answer: –9

Evaluate the numerator and the denominator separately.

Multiply in the numerator.

Simplify the numerator and the denominator. Then simplify the fraction.

B.

A. 0

B. 12

C. 24

D. 28

A. Evaluate a + b2(a – b) if a = 4 and b = –2.

A. –1

B. –3

C. 3

D. 4

B.

Use a Formula

Use a Formula

Answer: The area of the trapezoid is 152 square meters.

A. 450 cm3

B. 75 cm3

C. 50 cm3

D. 10 cm3