Algebra Part 3
Unit 3 Review
Name_______________________________
Date ____________
Part I. Multiple Choice. Choose the best answer.
_____ 1. In which quadrant is the point (4,-3) located?
a.) Quadrant I
b.) Quadrant II
c.) Quadrant III
d.) Quadrant IV
_____ 2. What is the slope of the line y = 3x + 2 ?
a.) -3
4
b.) –3/4
c.) 3/4
d.) 2
_____ 3. Which ordered pair is a solution of 4y – 6x = 12 ?
a.) (-2, 0)
b.) (0,-2)
c.) (3, 0)
d.) (-3, 0)
_____ 4. What type of line is the line with the equation y = 8
a.) Horizontal
b.) Vertical
_____ 5. Describe the slope of the line on the graph to the right:
a.) positive
b.) negative
c.) zero
d.) undefined
Part II. Show your work. Show all steps to receive full credit.
6. Identify the slope and the y-intercept of
7. Label the points onto the coordinate
the line with the given equation:
graph:
y = 1/3x
slope = ______
y-intercept = ______
A: (3, 0)
B: (0, -8)
C: (-4, -4)
D: (-2, -1)
8. Graph the line: y = -4x + 4
9. Graph the lines y = 9 and x = -6
10. Graph the equation by re-writing the
equation into slope–intercept form (y= mx +b)
11. Find the x- and y- intercepts for the
following equation. Show all work.
y – 4x = -6
8x + 12y = 24
x-intercept
(
,
0
y-intercept
)
( 0
,
)
12. Find the slope of the line that goes
through the points (8, -3) and (2, -7) by
using the slope equation:
14. Graph the equation:
1
y   x 1
4
13. What is the slope of the line that goes
through the points (7, 3) and (2, 7):
15. Graph the equation:
y  7x  3
Part III. Writing. Show all steps to receive full credit.
16.) Are the lines y = 3x – 2 and
answer.
y + 3x = 10 parallel? Show all work and explain your
17.) Are the lines x - 2y = 3 and x + 2 y = 5 parallel? Show all work and explain your
answer.
18.) Is the point (5, -13) a solution to the equation -8x – 2y = -14 ? Show all work.
19.) Find the x and y intercepts of the following equation, then graph the line using those
intercepts:
12x + 24y = 12
x-intercept
(
, 0)
y-intercept
( 0,
)
20.) Re-write the equation in slope-intercept form and then graph it:
-4x
21.)
- 2y = -4
Identify the slope and starting point from the following linear equation then graph.
Y – 3 = -2 ( x – 1)
M = __________
Point = __________