Name: __________________________________________________________________________ Period: ___________
8 CC Unit 2 Study Guide
Topic
Rate
Of Change
How I feel about each topic…
Skills to Practice
Got it!
Determine Rate of Change/Slope from a table
Determine Rate of Change/Slope from a graph
Find the slope between two points
Slope-Intercept
Form
𝑦 = 𝑚𝑥 + 𝑏
Identify the Slope and y-intercept
Graph an equation in slope-intercept form
Write the equation from a graph in slope intercept form
Write the equation for a real world problem in slope-intercept
form
Interpret the rate of change and initial value
Linear
Vs
Non-linear
Determine if a relationship is linear from a table
Determine if a relationship is linear from a graph
Determine if a relationship is proportional from a graph
Determine if a relationship is proportional from a table
Intercepts
Find the x and y intercept from an equations
Interpret the x and y intercept from a graph
Graph using the intercepts
Point-Slope
Form
𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 )
Write an equation for a line given a point and the slope
Write an equation for a line given two points
Rewrite an equation from point-slope form to slope-intercept
form
Solve a System of Equations by Graphing
Systems of Equations
Solve a System of Equations Algebraically
Solve a real world problem using Systems of Equations
r
Just need to
review
I REALLY need
to study!
1. Determine whether the relationship
between the two quantities shown in
the table is linear. Explain your
reasoning.
2. Determine whether the
relationship between the two
quantities shown in the table is
linear. Explain your reasoning.
Total Number of Customers
Helped at Jewelry Store
Italian Dressing Recipe
Time Total
(h) Helped
1
12
2
24
3
36
4
Oil
(c)
Vinegar
(c)
2
3
4
4
12
6
24
8
3
1
1
60
4. Find the slope of line.
7. State the slope and y-intercept for
the graph of the equation:
5. Find the slope of the line with
the given table of points.
6. Find the slope of the line with
the given table of points.
x
-3
3
9
15
x
12
30
54
72
y
-3
3
5
9
y
2
5
9
12
8. State the slope and yintercept for the graph of the
equation:
y = 28 - 13x
10. State whether the graph is a direct
variation. Explain your reasoning.
3. Find the slope of line.
7x - y = 12
11. State whether the graph is
a direct variation. Explain your
reasoning.
9. State the x-intercept and the yintercept for the graph of the
equation.
12x - 6y = 36
12. Graph the equation:
4
y=- x+4
3
13. Graph the equation:
x - y = -6
16. State the x-intercept and the yintercept for the graph of the
equation.
15y + 14x = -35
14. Graph the equation:
14y - 7x = 42
17. Write an equation of a line
in slope-intercept form with the
given slope and y-intercept.
15. Graph the equation:
-
4
x + 2y = 8
3
18. Write an equation of a line in
point-slope form for the line that
passes through (-7, -3) and
(4, -8).
m: 5; y-intercept: -8
19. Write an equation of a line in
point-slope form for the line that
passes through (4, -5) and (-6, 2).
20. Write an equation of a line
in slope-intercept form for the
line that passes through (2, -2)
and (4, -1).
21. Write an equation of a line in
slope-intercept form for the line
that passes through (-7, 1) and
(5, -3).
22. Write a linear equation in slopeintercept form for the following graph:
23. Write a linear equation in
slope-intercept form for the
following graph:
24. Solve the system of equations
by graphing:
2
y= x+3
3
3y = 2x + 15
25. Solve the system of equations by
graphing:
x+y=3
y = -3(2x - 1)
26. Solve the system of
equations by substitution:
27. Solve the system of equations
by substitution:
y = -2x + 5
y=x–7
2x + 3y = 19
y = 2x + 5
Check:
Check:
28. Solve the system of equations by
substitution:
29. Solve the system of
equations by substitution:
y = x + 12
4x + 2y = 36
7x + y = 2
3y - 4x = -12
30. A store sold 84 black and
gray T-shirts one weekend. They
sold 5 times as many black Tshirts as gray T-shirts. Write and
solve a system of equations to
represent this situation. Then
interpret the solution.
a. Identify the two variables.
Check:
Check:
b. Write two equations.
c. Solve the system and interpret
the solution.
31. The width of the rectangle is 9
meters less than the length. The
perimeter is 96 meters. Write and
solve a system of equations to
represent this situation. What are the
dimensions of the rectangle?
a. Identify the two variables.
b. Write two equations.
c. Solve the system
32. What is the slope of the line
that passes through the points
C(-2, 0) and D(-2, -4)
33. What is the slope of the line
that passes through the points
K(0, -2) and L(2, 4)