Daily Homework Quiz

1. Evaluate when ( ) 8x–2+x3 3.=x

Evaluate the expression.

3. 5( )2–

2. Evaluate when )6p –5p 2 ( – 4 –=p 4.

4. 8÷32 • ( 5+– )22

ANSWER 108

ANSWER 25

ANSWER 9–

ANSWER 36

Warm Up

1.3 Simplifying Algebraic Expressions

8/27/12

Coefficient :

When a term is the product of a number and a power of a variable, the number is the coefficient. Ex. 2x or 2x3 2 is the coefficientIf the variable doesn’t have a number in front of it, the coefficient is 1.Ex. x, x2 both have a coefficient of 1.

Like terms : Terms that have the same variable parts

Constant term : A term that consists of just a number.Ex: 5x + 8

VocabularyTerms : The parts of the expression that are

separated by + or – sign.

Identify Terms in an ExpressionExample 1

Identify the terms in the expression .11– 2x 2 –7x–

ANSWER

Terms: 11,– 2x 2–7x, and–

Terms : The parts of the expression that are separated by + or – sign.

Identify Coefficients and Like TermsExample 2

Identify the coefficients and like terms in the expression .x 2 7x– + 5 3x 2– 10–

ANSWER

Coefficients:1, -7, and -3.

Like terms: x 2 and -3x 2 : 5 and -10

Identify the terms, coefficients, and like terms in the expression 4x 3 9x–+5x 2– x 2 9x 3 7x.– +

More Examples

ANSWER

terms: 4x 3, 5x 2, x 2, 9x, 9x 3, 7x;– – –

1.

coefficients: 4, 5, 1, 9, 9, 7;

like terms: 4x 3 and 9x 3, 5x 2 and x 2, 9x and 7x

– – –

– – –

Example 3 Simplify by Combining Like Terms

Simplify the expression.

9x+5xa.

= 14x

SOLUTION9x+5xa.

(5+9)x=

This step is optional

Example 3 Simplify by Combining Like Terms

Simplify the expression.

+2x2 + –3x x2 6xb.

9x x2 +=

2x2 +– 6xx2 + 3x( ) ( ) Group like terms.

=

Parenthesis is optional

Important Note: When moving terms around, make sure you keep the sign that’s in front of it.

Example 3 Simplify by Combining Like Terms

4y( )= – 12y 7x+ + 3x( )– Group like terms.

= –8y – 4x

7x4yc.

– – 3x+12y

Distributive Prop:In general:

a(b+c) =multiply multiply

ab + ac

Example 4 Simplify Expressions with Grouping Symbols

Simplify the expression.

512a.

– –( )1x

Group like terms.– +5x= ( )5+12

CLT.– +5x= 17

SOLUTION

512a.

– –( )1x – 5+5x= 12 Distribute -5

Example 4 Simplify Expressions with Grouping Symbols

= Group like terms.

( )4x– 3x+ ( )+ – 2424

= x–

– 4x24 3x – 24+= Distributiveproperty

b. 4 –( )x6 3 –( )8x+

Checkpoint

2. ANSWER 4x3x7x –

3. x1 + 810x –+ ANSWER 711x –

4. x + x2 – 4x2 – 5x ANSWER –3x2 – 4x

Simplify the expression.

5. 3 + ( )4+x2 ANSWER 11+2x

6. x ( )2x6– – ANSWER –5x + 12

Simplify Expressions

HomeworkWS 1.3 Practice A