Unit 1.1 Vocabulary
Expression
Numerical Expression
Algebraic Expression
Term
Coefficient
Order of Operations
Evaluate
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1.1 Cont...
Evaluate the expression 3
x ( 4x ­ 10) for x = 2
Multiply within parenthesis ______________
Subtract within parenthesis ______________
Simplify powers
______________
Multiply
_______________
hw text 103 3­9 28 a,b 31a,b
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1.2 Simplifying Expressions
A soccer field has a length l of 105 m and a width w of 68 m.
1.Find perimeter using 2l + 2w
2. Find perimeter using 2(l+w)
3. What did you notice?
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1.2 Properties
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1.1 ­ 1.3 Quiz
Name____________
5x2 + 2x ­3
Terms _________________
Coefficients _____________
Variables
______________
Why is this an algebraic expression? _____________ Evaluate
for x = 4
x ( 4x ­ 10) 3
Multiply within parenthesis ______________
Subtract within parenthesis ______________
Simplify powers
______________
Multiply
_______________
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Simplifying Expressions
A bedroom has a length l of 20 m and a width w of 12 m.
1.Find perimeter of room using 2l + 2w
2. Find perimeter using 2(l+w)
3. What did you notice?
Identify the Property­ Associative, Distributive , or Commutative
5 + 4 + 3 = 3 + 4 + 5 ___________
5 + (15 + 4 ) = (5 +15) + 4 ___________
5 (2x ­ 3) = 10x ­15
_____________
Solve for x
­5x +3 (2x + 6) = 11
Word Problems
This month Jose saved $20 more than last month. For the 2 months she saved $70. How much did she save each month?
This month ________
Last month ________
Mike is 2 years older than Sam. Together their ages total 26, find both of their ages.
Mike's age_________
Sam's age______
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1.3 Writing Expressions
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1.4 Inequalities
Equation
Two expressions are equal.
Solution of an Equation
The value that makes the equation true. X = 2
Inequality
Two expressions that are not equal. 3X > 16
Solution of an Inequality
Any value that makes statement true. X = 6
3X +4 = 10
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1.5 Functions
Function Pairing 1 domain with 1 range in a set.
Domain
The X value in a set INPUT
Range
The Y value in a set OUTPUT
Function Notation
2 F(x) or F of X F(x)= x
X is 3 and Y is 9
F (3)=9 Independent Variable
The X value
Dependent Variable
The Y value
Function Rule
F(x) = X2 If we know the independent variable we can find the dependent variable by making a chart
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X Input / Domain
X 2 Y Output / Range
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What must you make sure to do in simplfying your expression?
5 ( 3 + 2 2 ) ­ 14 / 2
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Quiz #1 Answer 2 out of 4 5 ( 3 + 2 2 ) ­ 14 / 2
( 72 + 19 )
________
6 ­ 2
l 42 ­6 l + l ­14 ­ 7 l
Solve when a=3 b= ­2, and c=5
5 [ 2 + 3(A­2C) ­ 3B]
Extra Credit ­ What must you make sure to do in simplfying your expression?
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