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To evaluate an algebraic expression you substitute numbers for variables Then follow the order of left to right Name Date Class Reteach Simplifying Algebraic Expressions 1-4 LESSON Holt Algebra 2 All rights reserved # OPYRIGHT (OLT LL , 33/ 1E4 Practice A 3IMPLIFYING Problem Solving 3IMPLIFYING



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[PDF] Lesson 2 Homework Practice

PERIOD ______ Lesson 2 Homework Practice Simplifying Algebraic Expressions Identify the terms, like terms, coefficients, and constants in each expression



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[PDF] Reteach Simplifying Algebraic Expressions - Humble ISD

To evaluate an algebraic expression you substitute numbers for variables Then follow the order of left to right Name Date Class Reteach Simplifying Algebraic Expressions 1-4 LESSON Holt Algebra 2 All rights reserved # OPYRIGHT (OLT LL , 33/ 1E4 Practice A 3IMPLIFYING Problem Solving 3IMPLIFYING



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Lesson 2-1 Writing and Solving Equations Use the algebraic method to solve an equation • Write and solve an that could be used to represent the problem in Item 1 + 4 h +4 Add Prop Simply Dio, Prop 12 = 38 W CLT Simplify ->12- 6 ) A tartha tenation how many hours did each young man practice the piano?

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Copyright © by Holt, Rinehart and Winston.

30 Holt Algebra 2

All rights reserved.

To evaluate an algebraic expression you substitute numbers for variables.

Then follow the order of operations.

Here is a sentence that can help you remember the order of operations.

PleaseExcuseMyDearAuntSally

Evaluate x ? 2xy ? y 2

for x ? 4 and y ? 6. 4 ? 2 4 6 6 2

Substitute 4 for x and 6 for y.

4 ? 2 4 6 ? 36 Evaluate exponents: 6 2 ? 36.

4 ? 48 ? 36 Multiply from left to right.

?8 Add and subtract from left to right. Evaluate each expression for the given values of the variables.

1. a 2

? 2a b 2 ? 3a for a ? 5 and b ? 2 5 2 ? 2 5 2 2 3 5

Substitute 5 for a and 2 for b.

25 + 2

5 4 ? 3 5

Evaluate exponents.

25 ? 40 ? 15

Multiply from left to right.

50

Add and subtract from left to right.

2. c 2 ? cd ? 3d for c ? 7 and d ? 6 7 2 ? 7 6 ? 3 6

Substitute for the variables.

49 ? 7

6 ? 3 6

Evaluate exponents.

49 ? 42 ? 18

Multiply from left to right.

25

Add and subtract from left to right.

3.

5m ? n 3

_________

3n for m ? 4 and n ? 2

5 4 ? 2 3 ___________ 3 2

Substitute for the variables.

5 4 ? 8 __________ 3 2

Evaluate exponents inside parentheses.

20 ? 8

________ 3 2

Multiply inside parentheses.

12 _____ 3 2

Subtract inside parentheses.

12 ___ 6

Multiply from left to right.

2

Divide from left to right.Name Date Class

Reteach

Simplifying Algebraic Expressions

1-4

LESSON

a207c01-4_rt.indd Sec1:30a207c01-4_rt.indd Sec1:3012/20/05 1:48:56 PM12/20/05 1:48:56 PM

Process BlackProcess Black

Copyright © by Holt, Rinehart and Winston.

31 Holt Algebra 2

All rights reserved.

Name Date Class

Add or subtract the coefficients of like terms to simplify an algebraic expression.

Like Terms: 3 x

2 and 4 x 2

5xy and ?xy

3 x 2 ? 5xy ? 4 x 2 ? xy ? 2 3 x 2 ? 4 x 2 ? 5xy ? xy ? 2 Group like terms. 7 x 2 ? 4xy ? 2 Add or subtract like terms. You can use the Distributive Property to simplify an algebraic expression ?2( a 2 ? ab) ? 6ab ? 2a 2 ?2 a 2 ? 2ab ? 6ab ? 2a 2

Distribute.

?2 a 2 ? 2a 2 ? 2ab ? 6ab Group like terms.

8ab Add or subtract like terms.

Simplify each expression.

4.?6x ? 3 ? 2x ? 4x

?6x ? 2x ? 4x ? 3

Group like terms.

?4x ? 3

Add or subtract like terms.

5.c (4c ? d ) ? c 2 ? cd 4c 2 ? cd ? c 2 ? cd

Distribute.

4c 2 ? c 2 ? cd ? cd

Group like terms.

3 c 2 ? 2cd

Add or subtract like terms.

6. 4a

2 ? 5ab ? 4a 2 ? 2ab ? 7 7. 3 s ? 4t ? 3s ? t

3ab ? 7

6s ? 13t

Reteach

Simplifying Algebraic Expressions (continued)

1-4

LESSON

Coefficients of x

2 : 3 and 4

Coefficients of xy : 5 and ?1

Think: 3x

2 ? 4x 2 ? 7 x 2

5xy ? 1xy ? 4xy

?2(a 2 ? ab) ? ?2( a 2 ) ? 2(?ab) ? ?2 a 2 ? 2ab

Think: ?2a

2 ? 2a 2 ? 0 a207c01-4_rt.indd Sec1:31a207c01-4_rt.indd Sec1:3112/20/05 1:48:57 PM12/20/05 1:48:57 PM

Process BlackProcess Black

Copyright © by Holt, Rinehart and Winston.

81 Holt Algebra 2

All rights reserved.

AK4up_Ch01.indd 81AK4up_Ch01.indd 8112/27/05 2:49:18 PM12/27/05 2:49:18 PM

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82 Holt Algebra 2

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