Name: _____________________________________________________
Review for Math 8 Final BY TOPIC
Period: _____
You should be able to answer questions similar to those below:
Exponents and Scientific Notation:
1) What is 0.00042 in scientific notation?
a) 4.2 x 104
b) 4.2 x 10-4
c) 4.2 x 105
d) 4.2 x 10-5
2) For what value of “n” is the equation below true?
467,000,000 = 4.67 x 10n
a) n = 8
b) n = 9
c) n = 10
d) n = 3
3) Which of the following has the same value as 410 x 4-2?
a) 4-20
b) 48
c) 4-5
d) 412
4) What is the value of 4-2?
a)16
1
b) 16
c) -16
1
d) - 16
Functions:
5) Given the set of values {(-3, 1), (2, 7), (c, 4), (8, 9)}, which value of c makes the set a
function?
a) -3
b) 2
c) 8
d) 5
6) Which of the following is not a function?
a) {(1, 3), (2, 3), (3, 3)}
b) {(2, 3), (3, 4), (4, 4)}
c) {(1, 1), (2, 2), (3, 3)}
d) {(1, 3), (1, 5), (3, 7)}
7) Which of the following graphs is a function?
Linear Equations:
8) What is true about the equation y = 3x – 4?
a) The slope is 3 and the y-intercept is -4.
b) The slope is -4 and the y-intercept is 3.
c) The slope is 3 and the y-intercept is 4.
d) None of these statements are true.
9) What is the slope of a line that contains the point (-4, 1) and (1, 11)?
a) 2
b) -2
c) ½
d) – ½
10) What is the equation of the line graphed below?
a) Y = x + 3
b) Y = 3x + 1
c) Y = 2x + 1
d) Y = 3x – 0.5
11) What is the slope between the two points shown below?
a) ½
b) – ½
3
c) 4
d) 2
12) Mariah is buying books for her book club. Each book is $5.50. She must also pay $3 in
shipping fees. Which equation can model the total cost, t, of ordering b books?
a) t = 3b + 5.50
b) b = 3t + 5.50
c) t = 5.50b + 3
d) b = 5.50t + 3
13) Which equation relates x and y in this table?
x
1
2
3
4
y
-3
a)
b)
c)
d)
0
3
y=x+3
y = 3x
y = 3x + 2
y = 3x – 6
Systems of Equations:
14) What is the solution to this system?
a) (1, 3)
b) (3, 1)
c) (-1, 3)
d) no solution
6
5
9
15) A system of two linear equations in two variables has infinite solutions. If the system is
graphed in a coordinate plane as two lines, what must be true?
a) The two lines are parallel.
b) the two lines will intersect once.
c) the two lines will lie directly on top of each other.
d) the lines are perpendicular.
16) Melissa and Adam went to buy some food. Melissa bought 3 tacos and a burrito for $5.
Adam bought two tacos and two burritos for $6. Which system could be used to find the price
of a taco (t) and a burrito (b)?
a) 3t + b = 5
b) 4t = 5
c) 3t + b = 6
d) t + b = 5
2t + 2b = 6
4b = 6
2t + 2b = 5
t+b=6
Scatter Plots and Data:
(Use this scatter plot to answer questions 17 and 18)
17) What statement best describes the relationship from the scatter plot below?
a) As the minutes on the stove increases, the temperature on the stove increases.
b) As the minutes on the stove increases, the temperature on the stove decreases.
c) As the minutes on the stove increases, the temperature first increases, then it
decreases.
d) As the minutes on the stove increases, the temperature first decreases, then it
increases.
18) What is a good estimate of the temperature if the item has been on the stove for 10
minutes?
a) 100o
b) 120o
c) 140o
d) 160o
Angles:
19) What is the complement of a 32.5o angle?
a) 57.5
b) 122.5
c) 65
d) 147.5
20) What is the supplement of a 32.5o angle?
a) 57.5
b) 122.5
c) 65
d) 147.5
Transformations:
21) Triangle CAT is similar to triangle DOG. What is the length of line segment DO?
a)
b)
c)
d)
4 in
18 in
12 in
15 in
22) Given the point R(-3, 5) and a constant of dilation equal to 2, find R’.
a)
b)
c)
d)
(-1, 7)
(-6, 10)
(-1.5, 2.5)
Not listed
Rational Numbers:
23) Which of the following values is irrational?
a) √41
b) ¼
3
c) √27
d) √25
24) Which of the following statements are true?
a) -8 > -6
b) 32% < 3.2
c) √17 = 8.5
d) 4 > √41
25) Choose the largest value:
a) √62
b) 85%
c)
30
4
d) 8.1
26) Which point on the number line below BEST represents
a)
b)
c)
d)
√10
?
2
Point A
Point B
Point C
Point D
27) Which of the following are written in order from greatest to least?
11
a) √10, π, 3.8, 5
b) 3.8, √10, π,
c) π,
d)
11
11
5
11
5
, 3.8, √10,
5
, π, √10, 3.8
28) What is √70 rounded to the nearest hundredth?
a) 8.36
b) 8.37
c) 8.38
d) 35.50
Pythagorean Theorem:
29) A right triangle has a hypotenuse of 16 and a leg of 3. What is the length of its missing
leg to the nearest tenth?
a) 13.0
b) 16.3
c) 15.7
d) 19.0
30) A right triangle has legs of 6 and 8. What is the length of its hypotenuse?
a) 10
b) 14
c) 19.6
d) 4
31) What is the value of “x” in the diagram below?
a) 6
b) 20
c) 2
d) √20
Practice Short Answer Questions:
32) Solve: -3(2x + 1) + 6 = -27
33) The points (-2, -3) and (3, 4) are plotted on the coordinate plane.
a) Plot the two points and draw a segment to connect them.
b) What is the distance between these two points? Round your answer to the nearest
tenth of a unit.
34) Solve the following system graphically. Make sure to show all of the necessary work for full
credit!
y = 2x – 3
y = -3x + 2
The solution is ______________________.
35) Carla is baking a two tier wedding cake, as shown in the picture below. The top tier has a
height of 6 inches and a radius of 8 inches. The bottom tier has a height of 5 inches and a radius
of 10 inches. What is the total volume of this cake in cubic inches? Leave your answer in terms
of pi.
36) Find the measures of the missing angles below:
a = ___________
b = ___________
c = ___________