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Math 8 Semester 1 Exam Review

Total questions: 64

Worksheet time: 3hrs 7mins

Name
Class
Date
1.
What would be the best first step to solving the equation?
-3=x+5
a)
add 3 to both sides
b)
subtract 5 from both sides
c)
add 5 to both sides
d)
subtract -5 from both sides
2.
What would be the best first step to solving the equation?
-3=x+5
a)
add 3 to both sides
b)
subtract 5 from both sides
c)
add 5 to both sides
d)
subtract -5 from both sides
3.
Solve the equation:
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
4.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3
b)
multiply both sides by -3
c)
divide both sides by -3
d)
add 3 to each side
5.
r + 20 = 27
a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
6.
Solve the equation:
x - 4 = -3
a)
x = -7
b)
x = 1
c)
x = 12
d)
x = -12
7.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
8.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
9.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
10.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
11.
Solve the equation for x:
2x + 3x + 4 = 44
a)
x = 8
b)
x = 9
c)
x = 10
d)
x = 11
12.
-11 + 3(b + 5) = 7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
13.
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
14.
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
15.

3x - 6 = 4 + 2x

a)

One Unique Solution

b)

No Solution

c)

Infinitely Many Solutions

16.

3x - 8 = 3(x - 4) + 1

a)

One Unique Solution

b)

No Solution

c)

Infinitely Many Solutions

17.

3x - 7 = 3(x - 3) + 2

a)

Infinitely Many Solutions

b)

One Unique Solution

c)

No Solution

18.

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

a)

7 + 9x = 30

b)

30 = x - 7 - 9

c)

30/x = 9-7

d)

x - 30 = 7(9)

19.

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

a)

3(x + 5) = 17

b)

3x + 5 = 17

c)

5(x + 3) = 17

d)

5x + 3 = 17

20.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

21.

Irrational numbers can be written in the form of a fraction

a)

False

b)

True

22.
.141414141414...
a)
Rational 
b)
Irrational 
23.

 π\pi 

a)

Rational

b)

Irrational 

24.
√2
a)
Rational
b)
Irrational
25.
-17.5
a)
Rational
b)
Irrational
26.

A terminating decimal is a decimal that...

a)

Never ends

b)

repeats a pattern

c)

ends

d)

never ends and never repeats

27.

A rational number can be written as a fraction.

a)

true

b)

false

28.

Write 4/10 as a decimal

a)

.04

b)

.4

c)

4.0

d)

.410

29.

Write 52/100 as a decimal

a)

5.2

b)

.052

c)

52.100

d)

.52

30.

Write .27 as a fraction

a)

2/7

b)

2 7/10

c)

27/100

d)

2 7/100

31.

Write .33 as a fraction

a)

3 3/10

b)

3/10

c)

33/100

d)

3 3/100

32.

Write 4.32 as a fraction

a)

432/10

b)

43 2/100

c)

432 1/100

d)

4 32/100

33.

Write 25102\frac{5}{10}   as a fraction.

a)

2.05

b)

2.5

c)

25.1

d)

2.510

34.
Convert 4/5 to a decimal
a)
.45
b)
.80
c)
.40
d)
.54
35.

Convert 0.25252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

36.
What is the following decimal in simplest form?
.22222222222222...
a)
2/10
b)
1/5
c)
2/9
d)
22/100
37.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
38.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
39.
Between which two consecutive whole numbers is the√200? 
a)
13 and 14
b)
15 and 16
c)
14 and 15
d)
11 and 12
40.
x² = 121
What does x equal?
a)
11²
b)
11 and -11
c)
20 and 11
d)
12 and 1
41.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
42.
What is the square root of 324?
a)
16
b)
17
c)
18
d)
19
43.

172 =

a)

34

b)

289

c)

225

d)

324

44.
What is the area of a square with a side of 7?
a)
14
b)
28
c)
49
d)
64
45.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)
I divide the area by 4.
46.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

47.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
48.
What is the cube root of 8?
a)
4
b)
2
c)
-2
d)
-4
49.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
50.
Evaluate. 73
a)
313
b)
323
c)
333
d)
343
51.

What number, n, cubed is equal to 64?

n3 = 64

a)

4

b)

2

c)

8

d)

262,144

52.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
53.

Find the missing side

a)

11

b)

61

c)

61\sqrt{61}

d)

11\sqrt{11}

54.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

55.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
56.

Sides a and b are called legs.

a)

true

b)

false

57.
Name the longest side of a right triangle.
a)
leg a
b)
leg b
c)
leg 
d)
hypotenuse
58.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
a)
yes 
b)
no
59.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
60.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
61.

Which equation reflects the right triangle shown?

a)

x2 + 142 = 202

b)

142 + 202 = x2

c)

142 – 202 = x2

d)

x2 – 142 = 202

62.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
63.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
64.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2

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