1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression...

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WARM UP 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each, and pens sell for $0.89 each. Write the total cost for buying m

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Transcript of 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression...

Page 1: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

WARM UP

1) Write an algebraic expression for four times n to the second power.

2) Write a verbal expression for 6m-2.

3) Mechanical pencils sell for $0.79 each, and pens sell for $0.89 each. Write the total cost for buying m pencils and p pens.

Page 2: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

5-MINUTE CHECK!Question #1: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet.

Write an algebraic expression for the difference of 12 and n.

A. 4n2

B. 4n

C. 4 + n2

D. 4 + 2n

Page 3: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

5-MINUTE CHECK!Question #2: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet.

Write a verbal expression for 6m – 2.

A. six m less than two

B. six times m more than two

C. the difference of six and two

D. two less than six times m

Page 4: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

5-MINUTE CHECK!Question #3: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet.

Mechanical pencils sell or $0.79 each, and pens sell for $0.89 each. Write an expression for the cost of m pencils and p pens.

A.

B. 0.79p + 0.89m

C. 0.79m + 0.89p

D. 0.79 + 0.89mp

Page 5: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

1.2 ORDER OF OPERATIONS

Algebra AB

Page 6: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

Content Standards Interpret complicated expressions by viewing one

or more of their parts as a single entity. Use the structure of an expression to identify

ways to rewrite it.

Mathematical Practices Look for and make use of structure.

Objectives Evaluate numerical expressions by using

the order of operations.

Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Page 7: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 1Evaluate Expressions: What is an exponent?

Evaluate 26.

Page 8: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 1

A. 64

B. 128

C. 192

D. 256

Evaluate 44.

Page 9: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,
Page 10: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 2Use Order of Operations

Evaluate 48 ÷ 23 ● 3 + 5.

Page 11: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 2

A. 6

B. 15

C. 30

D. 45

Evaluate [(92 – 9) ÷ 12]5.

Page 12: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 3

Expressions with Grouping Symbols

A. Evaluate (8 – 3) ● 3(3 + 2).

Page 13: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 3Expressions with Grouping Symbols

B. Evaluate 4[12 ÷ (6 – 2)]2.

Page 14: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 4

Expressions with Grouping Symbols

C.

Page 15: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 5

A. –60

B. 66

C. 88

D. 68

A. Evaluate the expression 2(4 + 7) ● (9 – 5).

Page 16: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 7

A. 9

B. 18

C. 108

D. 3

B. Evaluate the expression 3[5 – 2 ● 2]2.

Page 17: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 8

C.

A. 1

B.

C. 4

D.

Page 18: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 9Evaluate an Algebraic Expression

Evaluate 2(x2 – y) + z2 if x = 4, y = 3, and z = 2.

Page 19: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 9

A. 6

B. 28

C. 36

D. 10

Evaluate x3 – y2 + z, if x = 3, y = 2, and z = 5.

Page 20: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 10Write and Evaluate an Expression

ARCHITECTURE Each side of the Great Pyramid at Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h.

Page 21: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 10

Write and Evaluate an Expression

A. Write an expression that represents the area of one side of the Great Pyramid.

Page 22: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 10Write and Evaluate an Expression

B. Find the area of one side of the Great Pyramid.

Page 23: 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each,

EXAMPLE 11

A. 3813 ft2

B. 7626 ft2

C. 15,252 ft2

D. 32 ft2

Find the area of a triangle with a base of 123 feet and a height of 62 feet.


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