Common Assessment
8th Grade Algebra Chapter 6
Calculators Allowed
Name:
Date:
Block:
Vocabulary
Rate of Change:____________________________________________________________________________
Linear Equation:____________________________________________________________________________
Slope-intercept form:_______________________________________________________________________
Standard form:_____________________________________________________________________________
Point-slope form:___________________________________________________________________________
Skills
Determine the slope of the following.
1. through the points (5,7) and (-2,7)
___________
2. a horizontal line
___________
3. of the equation 7x – 3y = 21
___________
4. through (-3,2) and (-5,8)
____________
5. a line parallel to the y axis
____________
Write an equation in point-slope form.
4
1. through P (2,5) with m = 5
_________________
2. through P (2,8) and the origin
_________________
3. through P (-4,7) with b = 5
_________________
Write an equation in slope-intercept form.
5
1. through P (4,1) with m =− 6
__________________
2. where m = -3 and b =2
__________________
3. of 5x – 4y = 20
__________________
Write an equation in standard form.
1. y = -6x + 1 (rewrite)
2
2. through P (-4,5) with m = 3
3.
2
3
1
x + 10y =
10
5
(rewrite)
__________________
__________________
___________________
Write an equation of the line (any form) such that:
1. it is parallel to y = -4x + 3 and passes through (-2,-1)
2. it is a vertical line through P (5,6)
3. it is perpendicular to y =
4
x + 2 and passes through (-3,0)
3
_______________
_______________
_______________
4. it is a horizontal line through P (-7,2)
_______________
5. it is parallel to -4x + 2y = 12 and has a y-intercept of -2
_______________
6. it is perpendicular to 3x + 3y = 9 and goes through the origin
_______________
Write the equation of the line for the following in three different ways, then write an equation
perpendicular and parallel to that line.
1. (5,9)
(-1,10)
Point-slope form ___________________________________
Slope-intercept form________________________________
Standard form_____________________________________
Line parallel to this line______________________________
Line perpendicular to this line_________________________
Graph the following.
1
x+4
3
A. 6x – 3y = 18
B. y =
D. y = 7
E. y = x -2
C. x = -8
F. y + 3 = -2(x + 4)
Applications
Answer the following questions showing ALL WORK necessary! Be sure to label your answer when
necessary.
1.
Kiley sells cars at a dealership. She makes $100 a month plus 25% commission on all of the cars
she sells. Max sells cars at a different dealership. Max only makes $10 a month, but he makes
50% commission on all of the cars he sells.
a. Write an equation to represent Kiley’s monthly earnings.
b. Write an equation to represesnt Max’s monthly earnings.
c. Explain how graphing the two lines representing Max and Kiley’s monthly earnings
would be helpful in deciding who has the better paying job.
d. What would the intersection of the two lines representing Max and Kiley’s earnings
represent?
2. A triangle is created by the three lines listed below. One of the vertices of the triangle lies on
an exact point in the coordinate plane. What is the location of the point that lies on an exact
point?
Line A: −𝑥 + 2𝑦 = 6
Line B: −3𝑥 + 𝑦 = −3
Line C: 𝑦 = −2𝑥 − 2
Writing
Answer the following question in complete sentences. Be sure to use examples and correct math
terminology when possible.
Slope can be defined as
𝑟𝑖𝑠𝑒
.
𝑟𝑢𝑛
List other ways slope can be represented.
________________________________________________________________________