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MATH 8: Final Review – covers material from 3rd and 4th qtr. Only!
Final Exam is Friday 5/18:
Name: __________________________
1) What is the slope of the graph of the linear function given by this pattern?
3, 1, -1, -3, …
a) 3
b) -3
c) 2
d) -2
2) What is the equation of the line in slope-intercept form if the line passes through (1, 6) and (-1, -2)?
a) y = 4x + 2
b) y = 2x + 4
c) y = 4x -2
d) y = -3x + 6
3) What is the y-intercept of this linear equation?
-3x + 2y = 8
a)
8
3
b) 2
c) 4
d) 1.5
4) A limo company charges a base rate of $35 and $2 per mile. Which equation show the total cost
of a ride in the limo?
a) y = 35x+2
b) y = 2x+ 35
c)y = 2x - 35
d) 2x + 35y = 2
5.) If you graph the line x = -6, what type of slope would it have?
a) positive
b) negative
c) zero
d) undefined
6.) What is the equation of this line?
a) y = 2x + 2
b) y = 2x
c) y = 2
d) x = 2
7.) Which equation represents the graph below to the right?
a) x + y = 3
b) 3x + y = 9
c) 2x – 3y = 9
d) -3x – y = 2
8.) What is the graph of the solution set of y > -2x – 2?
a)
b)
c)
d)
the open half plane above the graph of y = -2x – 2
the closed half plane above the graph of y = -2x – 2
the open half plane below the graph of y = -2x – 2
the closed half plane below the graph of y = -2x – 2
9.) Janie wants to make a scatter plot comparing the life expectancy (vertical axis) and the number of
cigarettes smoked (horizontal axis). What type of line of best fit should Janie expect her scatter
plot to show?
a)
b)
c)
d)
a horizontal line
a positive slope line
a negative slope line
no line of best fit
10.) Estimate the line of best fit of the following scatter plot:
a) y = x + 40
b) y 
6
 100
5
c) x = 50
d) y = 0.25x + 25
Choose the correct answer
Use the graph below to answer questions 11-13.
11. Which equation is parallel to the line?
a. y= -2x - 5
b. y= 2x -3
c. y= 2x +4 d. y= -½x+3
12. Which equation is perpendicular to the line?
a. y= -½x+ 3
b. y= 2x -3
c. y= -2x -4
d. y= ½x+3
13. Which line is coincidental to the line?
a. y= 2x- 3
b. y=-2x +3
c. y= -2x -4
d. y= -½x+3
14. What is the equation of the line that is parallel to y=-2x-6 and passes through the point at (4,4)?
a. y=
1
x+12
2
1
b. y=  x-12
2
c. y=-2x+6
15. The figure below shows the distances between parallel roads
a. 3
b. 3.9
c. 6.4
d. y=-2x+12
. Find the approximate distance of x.
d. 5
16. What type of angle relationship is shown between angle 1 and angle 2?
a. vertical
b. alternate interior c. corresponding
d. none
17. What type of angle relationship is shown between angle 1 and angle 2?
a. alternate exterior b. alternate interior c. corresponding d. none
18. Using the figure in #17, if m 1 =2x and its supplementary angle measure is x, what is the m 1 ?
a. 30
b. 60
c. 120
d. 180
19. What is the value of w?
w
10
a. 5
b. 7
w+2
14
c. 8
d. 3
20. A triangle has coordinates of (0,0), (0,3) and (4,0). To prove that it is a right triangle, it would have to:
a. have legs with slopes that are opposite reciprocals.
b. have legs with slopes that are the same
c. have the slope of the hypotenuse the same as the slope of a leg.
d. have the slope of the hypotenuse the opposite reciprocal as the slope of a leg.
Choose the best answer.
21. Solve the system of equations:
x+y=9
y = 13 – 2x
A. (3, 6)
B. (-3, 12)
C. (0, 9)
D. (4, 5)
22. You are walking along the path y = 6x + 8. Your friend Rick is walking along y – 12 = 8x. At
what point do your paths cross?
A. (0, 8)
B. (-1, 4)
C. (-2, -4)
D. (1, 14)
23. Write an equation for each job and solve the system. After how many years is the salary
equal?
Job
Starting
Yearly
Salary
Increase
A
$20,000
$1000
B
$35,000
$250
A. 20
B. 10
C. 5
D. 4
24. Ms. Lewis bought dry erase boards and markers for her class. When she bought 12 dry
erase boards and 20 markers, the cost was $44. When she bought 5 dry erase boards and
30 markers, the cost was $40. What is the price of 1 marker?
A. $1.00
B. $1.25
C. $1.50
D. $2.00
25. Which system of equations has no solution?
A. x+y=6
x-y=2
B. x+y=6
3x+3y=3
C. x+2y=5
x-5=-2y
D. y=-3x
6y=x-38
26. What is the first step needed to solve the system below using elimination?
2x-y=6
x+y=8
A. Subtract
B. Multiply by 3
C. Divide by 2
D. Add
27. What would be the value of y in the first equation if you choose to solve the system of
equations below by substitution?
8x+6y=48
4x-2y=-3
A. y 
4
x8
3
B. y=-8x+48
C. y=
3
x6
4
D. y=48x+1
28. Which point is a solution of the system of linear inequalities?
y < -x
y<x
A. (2,6)
B. (6,-2)
C. (-2,6)
D. (-1,-6)
29. Which system of inequalities represent the graph below?
A. y ≥ 2.5x + 2
y ≥ 0.5x - 2
B. y ≤ 2.5x - 2
y ≥ 0.5x + 2
C. y ≤ 0.5x + 2
y › 3x – 3
D. y ‹ -3x + 3
y ≥ 4x + 1
30. Natasha is buying CD’s that cost $8 and DVD’s that cost $10. If Natasha wants no more
than 12 CD’s and DVD’s and can spend no more than $40, which combination below is a
possible solution of the number of CD’s (x) and DVD’s (y) she can buy?
A. (5,3)
B. (1,10)
C. (1,3)
D. (7,4)