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8th Term 3 Final Review

Total questions: 63

Worksheet time: 2hrs 17mins

Name
Class
Date
1.

A charity organization is collecting change to raise money. They have collected twice as many dimes and quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels. If they have collected a total of 2134 coins, how many quarters did they collect?

(a)  

2.

-4(3x + 2) = 3(-4x + 5)

a)

No Solution

b)

One Solution

c)

Infinite Solution

3.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
4.
Find the solution to the equation:
-13 + 5a = 3(a - 3)
a)
a = 5
b)
a = 9
c)
a = 0
d)
a = 2
5.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
6.
6 - 2h > 30
a)
h < 24
b)
18 > h
c)
h > 12
d)
h < -12
7.
Solve for x
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
8.
Solve for x
l 2x−1 l +4 = 8 
a)
x = 2.5 and x = -1.5
b)
x = 2 and x = -1
c)
x = -2 and x = 9
d)
No Solution
9.
What is the solution to the system? 
a)
(1,1)
b)
-2
c)
(1, 2)
d)
(1, -1)
10.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
11.

Solve by Graphing: What is the solution to this system?

y = 2/3x - 2

y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

12.
Solve the system by graphing:
y = 6x - 4
y = -x + 3
a)
(1, 2)
b)
(2, 1)
c)
(4, 5)
d)
(2, 4)
13.

How many solutions are there?

y = 3x + 5

y = - 3x - 2

a)

0

b)

1

c)

Infinite

14.

How many solutions are there?

3x + 2y = 6

9x + 6y = 18

a)

0

b)

1

c)

Infinite

15.
Solve:
y = -1x - 5
4x - 8y = 4
a)
(-3, -2)
b)
(5, -7)
c)
(3, 9)
d)
(-5, 4)
16.
Solve:
y=8x+1
y=6x+3
a)
(1, 9)
b)
(4, 14)
c)
(0, 1)
d)
(2, 4)
17.
Solve the system of Equation (x,y)
3x + y = –14
–2x – y = 9
a)
(-5,1)
b)
(5,-1)
c)
(1,4)
d)
(-1,4)
18.
Solve the system of Equation (Elimination Method)
5x + y = 9
10x − 7y = −18
a)
(-4,-1)
b)
(-1,-4)
c)
(4,1)
d)
(1, 4) 
19.
There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?
a)
x + y = 15
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
c)
x = 2y + 44
4x = y + 15
d)
2x - 4y = 44
x - y = 15
20.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
21.
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
22.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
23.
Simplify:
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
24.
Simplify:
 √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
25.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

26.
Simplify

√45n3
a)
3n√5n
b)
4n√8
c)
4n√-8
d)
10√n
27.

Find the cube root of -1,331:

a)

-121

b)

-11

c)

-443.67

28.

Find the value of 332.7683_{\sqrt{32.768}} 

a)

29

b)

30

c)

31

d)

32

29.

Simplify completely using factor trees

a)

No Real Answer

b)
c)
d)

144\sqrt{144}

30.
a)
2 3√8
b)
2 3√7
c)
8 3√7
d)
3√56
31.

 356x3y3^3\sqrt{56x^3y^3}  Simplify

a)

 2xy72xy\sqrt{7}  

b)

 2xy 314xy2xy\ ^3\sqrt{14xy}  

c)

 2xy 372xy\ ^3\sqrt{7}  

32.
√98 + 5√2
a)
8√3
b)
12√2
c)
7√2
d)
7√3
33.
Add:  4√7 - 10 √7 + 7√7
a)
-6√7
b)
14√7
c)
-3√14
d)
√7
34.

What is this called?

√

a)

Radical

b)

Radicand

c)

Cube root

d)

Divider

35.

SImplify:

a)

5√6

b)

25√6

c)

√150

d)

10√15

36.
Simplify
a)
√5
b)
-3√6
c)
√6
d)
6
37.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
38.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
39.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
40.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
41.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
42.
a)
b)
c)
d)
43.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

44.
a)
b)
c)
d)
45.
a)
b)
c)
d)
46.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
47.

Write with positive exponents:

1/a-2

a)

a-2

b)

a2

c)

1/a1

48.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
49.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

50.

Simplify

a)

x4/3

b)

3x10

c)

36x10

d)

3x4

51.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
52.

How would you write 4.3756 x 104 in standard form?

(a)  

53.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

54.

How would you write -5.6 x 10-3 in standard form?

(a)  

55.

How do you write 8.317 x 106 in standard form?

(a)  

56.

Write the answer in scientific notation.

5.3 x 105 + 3.7 x 105 =

a)

99.0 x 105

b)

9.9 x 1010

c)

8.0 x 105

d)

9.0 x 105

57.
Write the answer in scientific notation.
5 x 108 -   3.4 x 108  =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
58.

Write the answer in scientific notation.

4.1 x 106 + 5.5 x 106 =

a)

5.91 x 106

b)

9.6 x 106

c)

9.6 x 1012

d)

4.65 x 105

59.
(2.3 x 102)+(4.1 x 102)=
a)
6.4 x 104
b)
6.4 x 102
c)
6.4 x 100
d)
.64 x 101
60.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
61.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
62.
Solve:
(2.1×10​2​​) × (3.0×10​4)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
63.
Solve:
(9 x 10-6) / (3 x 10-3) 
a)
27 x 10-9
b)
3 x 10-3
c)
3 x 10-9
d)
27 x 10-3

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