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Prealgebra winter final review

Total questions: 60

Worksheet time: 3hrs 33mins

Name
Class
Date
1.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
2.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

3.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
4.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
5.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
6.
a)
7 ft
b)
5 ft
c)
3 ft
d)
2 ft
7.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
8.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
9.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
10.
Which would be the next number in the pattern? 
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
11.
Estimate the square root.
a)
3
b)
4
c)
5
d)
6
12.
Estimate the square root.
a)
7
b)
8
c)
9
d)
10
13.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
14.
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
15.
a)
Function
b)
Not a Function
16.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
17.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
18.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
19.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
20.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
21.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
22.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
23.
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)
24.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
25.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
26.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
27.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
28.
What are the independent quantities in the table?
a)
{5,6,7,8,9}
b)
{0,1,2,3,4}
c)
x
d)
y
29.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
30.

Which of the following is a function?

a)
b)
c)
d)
31.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
32.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
33.
Where do these two lines intersect?
a)
No solution
b)
(-2, 3)
c)
(3, -2)
d)
(2, 3)
34.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
No solution
35.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
36.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
37.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
38.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
39.
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. 
40.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
41.

Which step should be solved first in the following equation?

[8(12÷3)+2]×4\left[8-\left(12\div3\right)+2\right]\times4

a)

13+913+9

b)

12÷312\div3

c)

3+23+2

d)

2×42\times4

42.

What value is equivalent to this expression?

207×2+(12÷3)20-7\times2+\left(12\div3\right)

a)

7878

b)

3030

c)

1010

d)

33

43.
Solve 1(-7 + 2 (3+2) - 5)2
a)
9
b)
5
c)
4
d)
6
44.
2(4x - 1) = 3(x + 2)
a)

No Solution

b)

Infinitely Many Solutions

c)

x = .63

d)

x = 1.6

45.
3x - 1 = 1 - 3x
a)

No Solution

b)

Infinitely Many Solutions

c)

x = 1/3

d)

x = 3

46.
3x + 15 = 3(x + 5)
a)

No Solution

b)

Infinitely Many Solutions

c)

x = 0

d)

x = 3

47.
5.5 - x = -4.5 - x  
a)

No Solution

b)

Infinitely Many Solutions

c)

x = 5

d)

x = -0.5

48.
6(7x + 7) = 7(6x + 6)
a)

No Solution

b)

Infinitely Many Solutions

c)

x = 1/2

d)

x = 1

49.

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6 to get 9x

d)

Add 6 and 10 to get 16

50.
Solve.
a)
-1
b)
All real numbers
c)
No solution
d)
0
51.
Solve.
a)
All real numbers
b)
No solution
c)
0
d)
12
52.
Once simplified, is this number rational or irrational? 10√2
a)
Rational
b)
Irrational
53.

Which of the following is irrational?

a)

0.444444444

b)

-4/5

c)

π

d)

0.2

54.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
55.

Which of the following decimals are irrational?

a)

3.6777777777777

b)

0.2

c)

-0.33548

d)

0.45555657 . . .

56.
a)
rational
b)
irrational
57.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
58.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
59.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
60.

Round to the Nearest Tenth: √28

a)

5.6

b)

5.9

c)

5.3

d)

5.7