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Math 8 Final Review (Class Review)

Total questions: 60

Worksheet time: 3hrs 24mins

Name
Class
Date
1.

Which of the following is an irrational number?

a)

0\sqrt{0}

b)

3\sqrt{3}

c)

1.361\overline{.36}

d)

0.19-0.19

2.

Compare with <, >, and =.

2.5 ______ √8

a)

<

b)

>

c)

=

3.

Which number is in between 9 and 10?

a)

√65

b)

√17

c)

√118

d)

√84

4.
Simplify:
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
5.
a)
x12
b)
x-12
c)
x2
d)
x-2
6.

Which of the following numbers is written in scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

7.

Express the following in scientific notation:


.000457

a)

457 x 106

b)

457 x 10-6

c)

4.57 x104

d)

4.57 x 10-4

8.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
9.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
10.
a)

106

b)

16

c)

26

d)

94

11.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
12.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
13.
Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  
a)
20x + 15 = y 
b)
35x = y 
c)
15x + 20y = 150 
d)
150 - 20x = 15y 
14.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

15.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
16.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
17.
a)
(2, -2)
b)
(2, 2)
c)
(-2, 2)
d)
(-2, -2)
18.
What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21
a)
(3,-9)
b)
(-3,-9)
c)
(-3,9)
d)
(0,1)
19.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
20.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
21.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
22.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
23.

Point N(6, –5) is reflected across the

x-axis. What are the coordinates of the image?

a)

(-6, -5)

b)

(-5, 6)

c)

(5, -6)

d)

(6, 5)

24.

Triangle LMN has vertices L(–1, 4), M(–2, 4), and N(–1, –1). What are the coordinates of the image of point M after a dilation with a scale factor of 3?

a)

(-6, 12)

b)

(-6, 4)

c)

(-2, 12)

d)

(12, -6)

25.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
26.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
27.

Solve for x.

a)

180

b)

12

c)

8

d)

16.7

28.

Solve for x.

a)

23

b)

-20

c)

32

d)

20

29.
find the total surface area of the cylinder .
a)
456.33m2
b)
1445.1m2
c)
1245.m2
d)
6789m2
30.
A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?
a)
1,676 mm3
b)
18,850 mm3
c)
33,510.3 mm3
d)
268,083 mm3
31.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
32.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
33.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

34.
Solve:
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
35.

Herkimer is painting a square table top with an area of 96 square feet. Which point below best represents the side length of one side of the table top?

a)

A

b)

B

c)

C

d)

D

36.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
37.
Do three squares with side lengths of 6, 12, and 13 form a right triangle?
a)
Yes
b)
No
38.

How many solutions?

4(3x5)+20=12x4\left(3x-5\right)+20=12x  

a)

one solution

b)

no solution

c)

infinitely many solutions

39.

5(4x  2) = 2(3 +6x)-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)  

a)

x = 2x\ =\ 2  

b)

x = 8x\ =\ 8  

c)

x = 2x\ =\ -2  

d)

x = 8x\ =\ -8  

40.
Solve for y:
5x + y = -10
a)
y = 5x + 10
b)
y = -5x - 10
c)
y = 2
d)
y = -5
41.

The area of a square patio is 256 square feet. If a fence is built 5 feet wide on each side of the patio what is the perimeter of the fence?

a)

26

b)

52

c)

78

d)

104

42.
Which would be the best rule for the transformation shown?
a)
translation
b)
reflection across the y axis
c)
reflection across the x axis
43.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
44.
Find the measure of the angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
45.

What is the measure of <b?

a)

36o

b)

56o

c)

63o

d)

117o

46.

Which graph represents


y = x + 2

a)
b)
c)
d)
47.

What is the slope of a line that passes through the points (0, 5) and (3, 11)

a)

2

b)

-2

c)

1/2

d)

-1/2

48.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
49.

Who has the greater slope?

a)

Smith has the greater slope with 5/4

b)

Harmon has the greater slope with 7/2

c)

Smith has the greater slope with 4/5

d)

They have the same slope.

50.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
51.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)

Two solutions

d)
Infinitely Many Solutions
52.

Solve for x

4+x3=4-4+\frac{x}{3}=-4  

 

a)

0

b)

1

c)

-3

d)

3

53.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
54.

A vertical line has a slope of

a)

1

b)

0

c)

undefined

d)

can not be determined

55.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
56.

Does the following equation represent a vertical line, a horizontal line, or neither?


x = 4

a)

vertical

b)

horizontal

c)

neither

57.

53545^3\cdot5^4  

a)

525^2  

b)

575^7  

c)

565^6  

d)

5105^{10}  

58.
Simplify (-9)0

a)
-9
b)
-1
c)
1
d)
9
59.

What is the meaning of the point (0, 0)?

a)

She walks 0 dogs in 0 hours

b)

She spends 0 dollars in 0 weeks.

c)

She bakes 0 cookies in 0 days.

d)

She earns 0 dollars in 0 days.

60.

which has a negative rate of change?

a)

y=-4x+1

b)

y=x +6

c)

both are negative

d)

neither are negative