daily homework quiz 1. evaluate when () 8x8x – 2+x3 3.3. = x evaluate the expression. 3. 5 ()2)2...
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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
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