Math 8
CHAPTER 4 PRACTICE TEST
Name ____________________________
Per ___________
Graph each equation.
Write in slope-intercept form.
7. y = -4 – 9x
8. 2x + 3 = y
Y = ___________
y = ____________
10. Y = 10 + 3(4x – 12)
11. 20x + 10 = 2y
Y = ___________
y = ____________
13. 2y – 10 = 8x + 20
Y = ___________
14. 2y – 7x = 16 + 3x
y = ____________
9. y = 5(2x – 3)
y = ___________
12. -5y = 5x - 15
y = ___________
15. 3x – 2y = 11x + 8
y = ___________
Use m & b to write the equation of a line in slope-intercept form.
16. y = _________________ 17. y = _________________ 18. y = ________________
m = 2/3 b = (0,9)
slope is -4 y-intercept is 17
Parallel to y=1/2x, b = (0,3)
19. y = _________________ 20. y = _________________ 21. y = ________________
X
Y
4
9
0
8
Write the equation in point-slope form: y – y1 = m(x – x1)
5
23. m = 7 point = (-2,-4)
22. m =
point = (8,10)
3
Write the equation in point-slope form first, THEN change it into slope-intercept form.
24. m = 7 point = (2,-5)
25. m = 2 point = (4,6)
26. (2, 6) & (1, 4)
27. (7, 12) & (4, 6)
28. (8, 2) & (5, 8)
Determine & describe m & b. Then write the equation. Use the table if necessary.
29. The T-shirt Shop sells custom t-shirts. One company orders 30 shirts and the total cost of their
order is $170. Another company orders 20 shirts and the total cost of their order is $130.
m (unit rate) = _________b = _______
equation: ____________________
shirts cost
Use what you are given write the equation of the line in slope-intercept form: y=mx+b
30.
31.
Determine & interpret the ordered pair for which the two
equations are the same. ________________
Which company should the principal choose to print 200 books? ________
Write the equation of the line in slope-intercept form (y=mx+b).
32. y = _________________ 33. y = _________________ 34. y = _________________
X
Y
0
8
6
7
Slope is
3
8
y-intercept is (0,-5)
Determine m & b. Write the equation of the line. Proportional or not? Give evidence.
35. m =
38. Proportional? Yes/No
X
Y
2
4
1
2
0
0
36. b =
Give evidence to support your
claim:
37. y =
Proportional or not? Give evidence.
39. Proportional? Yes/No
40. Proportional? Yes/No
Y=
Evidence:
Evidence:
−7
8
41. Proportional? Yes/No
5
7
=
4
6
𝑥+ 5
Evidence:
For the following problems, there is a direct relationship between the two variables.
In other words, they are PROPORTIONAL.
42. When y = 2, x = 3
43. When y = -4, x = 6.
Find y when x = 18.
Find y when x = 9.
Match each equation with its corresponding table and graph. Determine the slope and yintercept for each set. SHOW YOUR WORK on how you determined the slope and yintercepts. Matches will be from the same page.
44.
A
E
x
4
4
4
y
4
3
2
B
F
x
0
1
2
y
1
6
11
C
G
The cost to enter a
raffle is $4 plus $1 per
ticket.
D
H
Y=x+4
Matching graph:
Evidence:
Matching table:
Evidence:
45.
Y = 5x + 1
Matching graph:
Evidence:
Matching table:
Evidence:
46.
Y = 5x – 2
Matching graph:
Evidence:
Matching table:
Evidence:
47.
X=4
Matching graph:
Evidence:
Matching table:
Evidence:
x
1
2
0
y
6
11
-2
PRACTICE HONORS QUESTIONS
1. Solve 0 = -5(y-10) – 18
2. What is the slope and y-intercept of x = -2
3. What is the slope and y-intercept of
-3x + y = -3x + 12
4. Write the equation of the line that passes
thru the points (-2, -4) (-1, -5)
5. Write the equation of the line that passes
thru the points (8, -7) & (19, -7)
6. A company purchases shirts for $2.50 each
and resells them for $10 each plus a $95 set-up
fee. What is the profit on an order of $50
shirts?
7. Which is proportional? Show your work.
4y – 8x = 2(3x-5) +10 or -3y + 4 = 3x -4
8. Write in slope-intercept form.
5y – 13 = 2(4x-4) + 27
9. Write the equation of the line from the graph.
10. Write the equation of the line that passes
through the points (-6, -10) & (-8, -7)