Algebra 1
Distributive Property Notes
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-3 7 = _
-(- 4) = _
-4 (-5) = _
x x = _
-x x = _
Warm-Up :
x x2 = _
Distributive Property: For all real numbers, a,b and c:
a( b + c ) = ab + ac
ab + ac
a( b c ) = ab ac
ab ac
1.) 2( x 5 )
2.) 4 ( 3a + 7 )
3.)
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5.1 Functions and Graphs
Graphing from Tables
We have been using Input/Output charts to list ordered pairs of functions.
The input represents the _ coordinate
The output represents the _ coordinate
When we graph points, we use ordered pairs
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5.1 Intercepts
Definitions:
x-intercept
Graphically
y-intercept
x-intercept
Equation
y-intercept
Given a graph, you can visually find the x- and y- intercepts
x- intercept:
x- intercept:
y- intercept:
y- intercept:
_
Classify the following p
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7.1 Solving Systems of Equations by Graphing
A _ is a set of two or more equations with the same set
of unknowns.
A _ to a system of equations is an ordered pair of
numbers that is a solution to each equation in the system.
When graphing a s
Solving Equations 3.4 & 3.5
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Write an equation to solve the word problem. Be sure to use rules for solving!
1) Jane has $30 and is saving at the rate of $7 per week. Susan has $50 and is saving at the rate of $3 per
week. When will they have the sam
LITERAL EQUATIONS WORKSHEET
Solve for the indicated variable in the parenthesis ON A SEPARATE SHEET OF PAPER!
1)
P = IRT
(T)
2)
A = 2(L + W)
(W)
3)
y = 5x - 6
(x)
4)
2x - 3y = 8
(y)
5)
x+y=5
(x)
6)
y = mx + b
(b)
3
7)
ax + by = c (y)
8)
A = 1/2h(b + c) (b
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5.1 Linear Functions and Graphs
Relation- a pairing between two sets of numbers
A set of ordered pairs is a relation.
3, 2 ,
Example:
5, 4 , 1, 5 ,
4, 4 , 4, 5 , 0, 2 , 4, 0 , 2, 1
A relation can be shown in different ways.
Ordered pairs
(
(
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3.6 Using Formulas and Literal Equations
Literal Equation- an equation that involves _ or more variables.
Formula- a literal equation that states a rule for a relationship among the quantities
Example:
C = (F 32) is a formula to take a tempe
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3.6 Using Formulas and Literal Equations
Literal Equation- an equation that involves _ or more variables.
Formula- a literal equation that states a rule for a relationship among the quantities
Example:
C = (F 32) is a formula to take a tempe
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3.1 Solving Equations by Adding and Subtracting
Subtraction Property of Equality
For all real numbers a, b, and c, if a = b, then a c = b c
Subtracting equal amounts to each side of an equation results in an equivalent equation.
GOLDEN RULE:
_
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3.3 Solving Two- Step Equations
Some equations can be solved in two steps: Use the addition/subtraction and multiplication/division
properties of equality to solve for the variable.
Hint: When trying to decide which property to use, think wh
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3.5 Using the Distributive Property
Step 1: Distribute to remove the parentheses
Step 2: Simplify both sides of the equation
Step 3: Isolate the variable on one side of the equation
Step 4: Use equality properties to solve for the variable
*
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Review for Quest on Slope, Intercepts & Graphing
I. Given the following equations, find the x & y intercepts. Use the intercepts to graph the following equations.
1.
2x + y = 2
2.
y = 4x + 8
II. Given the graph, identify the x & y i