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Math 8 Final Exam Review

Total questions: 55

Worksheet time: 2hrs 9mins

Name
Class
Date
1.

Determine whether π\pi  is rational or irrational.

a)

Rational

b)

Irrational

2.

Which of the following numbers is not rational?

a)

3-3

b)

2.72.7

c)

4\sqrt{4}

d)

5\sqrt{5}

3.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

π\pi

d)

102\frac{10}{2}

e)

10\sqrt{10}

4.

Which of the following number is rational?

a)

127\sqrt{127}

b)

π\pi

c)

2.52.5

d)

8.98763...8.98763...

5.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
6.
a)
a7
b)
a10
c)
a3
d)
a-3
7.
a)
1
b)
60
c)
36/36
d)
all of the above
8.

Simplify: 32343^2\cdot3^4  

a)

363^6  

b)

383^8  

c)

969^6  

d)

989^8  

9.

Which expression is NOT equivalent to  383^8 ?

a)

(36)(32)\left(3^6\right)\left(3^2\right)  

b)

(34)2\left(3^4\right)^2  

c)

(34)(34)\left(3^4\right)\left(3^4\right)  

d)

(34)4\left(3^4\right)^4  

10.
(52)3
a)
56
b)
55
c)

105

d)

256

11.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
12.
Is the graph pictured a function?
a)
Yes
b)
No
13.
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)
14.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

15.

What type of slope is represented in the image?

a)

Positive Slope

b)

Negative Slope

c)

Zero Slope

d)

Undefined Slope

16.

Rewrite in slope-intercept form

2x + y = 3

a)

y = 2x - 3

b)

y = 2x + 3

c)

y = -2x + 3

d)

y = 3 + 2x

17.

Which value is the slope in the equation:
2y=8x42y=8x-4  

(Remember to solve for y first!)

a)

-4

b)

-2

c)

2

d)

4

18.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
19.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
20.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
21.

Solve for x.

x2 = 64

a)

x=±8x=\pm8

b)

×=±32\times=\pm32

c)

×8\times\equiv8

d)

×=8\times=-8

22.

2x2=2002x^2=200

a)

10

b)

±10\pm10

c)

100

d)

50

23.

3x22=463x^2-2=46

a)

±4\pm4

b)

±16\pm16

c)

±48\pm\sqrt[]{48}

d)

4

24.
Find the slope of the line that passes through:
(-12, -5) and (0, -8)
a)
1/4
b)
-1/4
c)
4
d)
-4
25.
Find the slope of the line.
a)
-2/1
b)
2/1
c)
-1/2
d)
1/2
26.
Find the slope of the line that passes through:
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
27.

Find the slope of the line that passes through:

(-12, -5) and (0, -8)

a)

14\frac{1}{4}

b)

14-\frac{1}{4}

c)

4

d)

-4

28.

Which equation represents the relationship in the table?

a)

y = 4x

b)

y = x + 6

c)

y = x - 6

d)

y = x + 4

29.

Which equation represents the relationship in the table?

a)

y = x + 4

b)

x = y + 4

c)

y = x - 4

d)

x = y - 6

30.

Which equation represents the relationship in the table?

a)

x = 3y

b)

y = 3 + x

c)

y = 3x

d)

y = x - 3

31.
The graph represents the money in a savings account.  What is the meaning of the y-intercept?
a)
The initial deposit was $30
b)
$30 is added to the account each week
c)
It took 30 weeks to same enough money to open an account
d)
not enough information
32.

Read the equation:
3x + 5 = 173x\ +\ 5\ =\ 17

a)

3 plus x plus 5 equals 17

b)

3 times x plus 5 equals 17

c)

3 divided x plus 5 equals 17

d)

3 times x minus 5 equals 17

33.
4 less than 5 
a)
4 - 5
b)
5 - 4
c)
4p - 5
d)
5 - 4p 
34.
Erica has three less than twice as many pencils as Dale has. If Dale has d pencils, which expression shows how many pencils Erica has?
a)
3 - 2d
b)
2d - 3
c)
½d - 3
d)
3 - ½d
35.
convert to scientific notation: 0.00056
a)
5.6x10^-4
b)
5.6x10^5
c)
5.7x10^7
d)
5.6x10^4
36.
Convert to expanded form:4.3x10^5
a)
0.000043
b)
430000
37.
Convert to scientific notation:4,750,000
a)
4.75x10^4
b)
4.75x10^6
c)
4.75x10^7
d)
4.89x10^8
38.
Convert to scientific notation: 0.00081
a)
8.1x10-4
b)
8.1x10^4
39.
What happened during C to D point?
a)
not moving
b)
increasing speed at a constant rate
c)
moving at a constant speed
d)
moving at 0 m/sacceleration
40.
What does this graph represent?
a)
Constant speed
b)
Acceleration
c)
Not moving
41.
Find m ∠C.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
42.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
43.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X? 
a)
16X+180 = 90
b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

44.



How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
45.
How can you tell if a point is a solution to a system?
a)
It makes the first equation true.
b)
The (x,y) coordinates satisfy both equations
c)
It makes logical sense
d)
It makes neither equation negative
46.

What is the solution to the system?

a)

(-1, 3)

b)

(-3, 1)

c)

(3, -1)

d)

(-3, -1)

47.
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. 
48.

Which would make the equation have infinite solutions?

2(4x - 5) = (a)   x - 10

49.

Which would make the equations have NO SOLUTION?

3x - 2 = 3x + ____

a)

-2

b)

5

c)

2

d)

-5

50.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
51.

Solve using Elimination Method:


x - y = 11

2x + y = 19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

52.
The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach? 
a)
12 feet
b)
13.5 feet
c)
13 feet
d)
11.6 feet
53.
Find the slope:
a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

54.

Estimate the square root.

a)

5.8

b)

5.4

c)

4.8

d)

5.0

55.

Match the following to the BEST (most exact) category that it belongs to

a)

0

1.

whole number

b)

5

2.

natural number

c)

-4

3.

integer

d)

0.30.\overline{3}  

4.

rational

e)

π\pi  

5.

irrational