2.2 Simplifying Expressions

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Presentation transcript:

2.2 Simplifying Expressions Chapter 2 Understanding Variables and Solving Equations

2.2 Simplifying Expressions Objectives Combine like terms using the distributive property. Simplify expressions. Use the distributive property to multiply. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Combine like terms using the distributive property. The basic idea in simplifying expressions is to combine, or add, like terms. Each addend in an expression is a term. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Combine like terms using the distributive property. A variable term has a number part (coefficient) and a letter part (variable). Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 5

Objective 1: Combine like terms using the distributive property. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 6

Objective 1: Combine like terms using the distributive property. List the like terms in the expression. Identify the coefficients of the like terms. Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 7

Objective 1: Combine like terms using the distributive property. List the like terms in the expression. Identify the coefficients of the like terms. Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 8

Objective 1: Combine like terms using the distributive property. The distributive property can be used “in reverse” to combine like terms. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 9

Objective 1: Combine like terms using the distributive property. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 10

Objective 1: Combine like terms using the distributive property. Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 11

Objective 2: Simplify expressions. Simplify by combining like terms. Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 12

Objective 2: Simplify expressions. Simplify 5(10y). Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 13

Objective 2: Simplify expressions. Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 14

Objective 3: Use the distributive property to multiply. Simplify 6(y – 4). Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 15

Objective 3: Use the distributive property to multiply. Simplify –2(4a + 3). Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 16

Objective 3: Use the distributive property to multiply. Simplify 8 + 3(x – 2). Example Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 2.2 - 17

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