Name___________________________
Hour_________
Chapter 4/5A (Graphing Equations) Assignments
_____
Day 1:
T-tables Worksheet
_____
Day 2:
p. 259 (1, 2, 15, 16) & Quiz Review WS
_____
Day 3:
p. 259 (4–10, 17–23, 39)
Quiz #1
_____
Day 4:
Worksheet #3
_____
Day 5:
p. 355–356 (8, 10, 12, 26, 27, 29–31)
p. 215 (14, 16)
_____
Day 6:
Worksheet #4
_____
Day 7:
Worksheet #5
Quiz #2
_____
Day 8:
Test Review Worksheet
_____
Day 9:
Chapter 4/5A Graphing Equations Test
1
Day 1
Pre-Requisite Skill
*When graphing, you want equations to look like
(Solve for y)
y=
1.
5x + y = 7
2.
2x – y = –9
3.
6y = 5x + 6
4.
x + 3y = 9
5.
x–y=4
6.
x – 5y = 10
Given:
x+y=6
Find all x and y values that will work in the given equation.
Since there is an _________________ number of answers, we
draw a picture of the solutions rather than list all of them.
2
2 Ways to Graph
T-Table
Slope–Intercept Form
T–Table
To make a line, you only need _________ points.
But for a t-table, you need __________ points so you have a check point.
 You may choose any value for x using the following requirements:
positive, zero, and negative x-values
 T-tables cannot contain fractions (Choose the denominator number to
eliminate fractions)
 Since you choose “x” then you are to solve the equation for y first
(Get y =)
Make a t-table and graph the solutions for the following
equations.
1.
y = 4 – 2x
2.
y=
3.
3x + y = 1
3
x
5
3
4.
x – 2y = 6
Special Lines – only have one variable in the equation.
5.
x=5
________________ line that crosses through the ______ axis.
6.
y = –3
________________ line that crosses through the ______ axis.
HW: T-Tables Worksheet
4
Day 2
Slope if given a graph
Warm up.
Ordered pairs
&
Quadrants/Axis
A
(
,
)
_________
B
(
,
)
_________
C
(
,
)
_________
Complete a t-table for each equation. Then graph.
1.
y = 3x + 1
2.
x=4
3.
x + 2y = 4
----------------------------------------------------------------------------
Slope if given a graph
SlopeSymbolFormula5
1. Graph:
x
y=
3
x2
4
Positive Slope- Line goes
up and to the right
y
Slope = ___________
2. Graph:
x
4x – 2y = 8 (Find y first)
Negative Slope- Line goes
up and to the left
y
Slope= _____________
Special Lines
3. Graph:
x
y = 1
y
4. Graph:
x
x=3
y
Horizontal Line
Vertical Line
Slope= ____________
Slope=____________
HW: p. 259 (1, 2, 15, 16) & Quiz Review WS
6
Day 3
Slope if Given 2 Points
rise
run
=
change.in. y.(y )
change.in.x.(x)
m=
y 2  y1
x 2  x1
Find the slope of the line given 2 points.
1.
(7, 4), (5, 8)
2.
(–3, 0), (6, 3)
3.
(–2, 1), (–2, –6)
4.
(-3, -4), (-9, -7)
5.
(9, -4), (-4, -4)
6.
(2, 1), (2, 4)
Quiz Time 
HW: p. 259 (4–10, 17–22, 39)
7
Day 4
Graphing Equations in Slope-Intercept Form
y=mx
Graph:
y=
+
b
1
x+2
3
m = ______
b=(
,
)
Graph: Start with _______________________
then do the ______________________
1.
4.
y = 4x  1
2.
y=
2
x+6
5
3.
y = 2x
m = ______
m = ______
m = ______
b=(
b=(
b=(
,
)
y=3
5.
,
)
m = ______
b=(
b=(
)
)
x = 4
m = ______
,
,
,
)
8
Graph in Slope-Intercept Form
* First-
6.
2x – y = 4
7.
m=
b= (
y+3=
2
(x – 6)
3
m=
,
)
Graph 2 ways:
T-Table
b=
(
,
)
3x + y = 1
Slope-Intercept Form
HW: Worksheet #3
9
Day 5
Solution Sets and Graphing Inequalities
Warm up (for quiz).
Find the slope.
1.
(5, 4),
(8, 16)
2.
(–2, –3),
(8, –5)
Simplify each answer.
3.
7
0
4.

2
1
5.
0
8
6.
8
4
7.
7
4
8.
3
6
-------------------------------------------------------------------------------Solution Sets
Graph.
1.
y = 3x – 1
2. Find the solution set for the line if given {(-1, -4), (0, 1), (1, 4), (2, 5)}.
Solution: _________________
What is a solution?
* an x or y value that makes the equation “true”
* a point that falls on the line
10
3.
Find the solution set for the line 2x – 5y = 10
if given {(4, 2), (5, 0), (-10, -6)}.
Solution: ____________________
Graph Inequalities
4.
y  3x  1
5.
y
2
x2
5
Steps
1.
2.
3.
Graph – y-intercept then slope
Solid
or
broken line? > or < use broken line
 or  use a solid line
Shade – Greater than: Shade ABOVE
Less than: Shade BELOW
11
Graph.
6.
2x – 2y < 8
7.
x3
8.
Is (3, 3) part of the solution set for y > –2x + 4?
HW: p. 355–356 (8, 10, 12, 26, 27, 29–31) & p. 215 (14, 16)
12
Day 6
Writing an Equation of a Line
Warm up.
Graph the following by filling in the t-tables.
1.
y = 4x – 1
x
y
2.
y=
2
x+2
3
x
y
3.
–4x + 2y = 8
x
y
---------------------------------------------------------------------------------------------
Writing an Equation of a Line
Write the equation of the given line.
1.)
2.)
m=
y=
b=(
,
)
m=
b=(
,
)
b=(
,
)
y=
3.)
4.)
m=
y=
b=(
,
)
m=
y=
13
Review for Quiz
Identify Slope and y-intercept
1.
y=
1
x
3
m = _____
b=(
,
2.
y = 5
3.
m = _____
)
b=(
,
x=4
m = _____
)
b=(
,
)
Graph using slope and y-intercept
4.
y=
3
x–1
2
5.
2x + y = 4
Graph the inequality.
6.
x – 3y  6
HW: Worksheet #4
14
Day 7
Writing Equations of Lines from Patterns
1.
6, 9, 12, …
2.
3, 1, –1, –3, …
3.
3, 6, 12, 24, …
4.
7, 5, 6, 4, 5, 3…
Write an equation
1. Find Slope:
y
x
or
(Change in y’s and x’s)
y 2  y1
x2  x1
2. Determine the y-intercept (plug slope into the y = mx + b equation
and use any ordered pair to find b)
3. Write the equation (y = mx + b)
5.
Write an equation for cost.
# socks 1
cost
3
2
6
3
9
4 5
12 15
m = __________
b = __________
equation: _______________
15
6.
x
y
1
3
2
5
3
7
4
9
5
11
m = __________
b = __________
equation: _______________
7.
x
y
1
8.
x
y
–2
2
1
2
–6
4
3
3
–10
6
5
4
–14
8
7
m = __________
m = __________
b = __________
b = __________
equation: _______________
equation: _______________
Quiz Time 
HW: Worksheet #5
16