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Worksheets

Pre algebra Final 25-26

Total questions: 110

Worksheet time: 5hrs 24mins

Name
Class
Date
1.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
2.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
3.

Solve for x:

6x + 14 = 8x + 4

a)

x = -5

b)

x = 5

c)

x = 10

d)

x = -10

4.
Solve the equation:
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
5.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
6.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

7.

What is the first step to solve this equation:

-11 - 3x = 44 - 2x

a)

Add 3 to both sides

b)

Get the variable on one side

c)

Add 11 to both sides

d)

Add 2 on both sides.

8.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Be confused

9.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
10.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
11.
2x - 3 + 4x = 27
a)
x= 12
b)
x = 4
c)
x = 5
d)
x = 15
12.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
13.
-11 + 3(b + 5) = 7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
14.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
15.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
16.
12+5w-4w=15
a)
w=1
b)
w=3
c)
w=5
d)
w=4
17.
Solve the following equation for x:
10x - 6x = 23 + 5
a)
x = 18/16
b)
x = 6
c)
x = 7
d)
x = 1
18.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
19.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
20.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
21.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
22.
Solve.
                                   30a - 24 = 5a + 26
a)
1
b)
2
c)
1.3
d)
none of these
23.
9+2a=-3-4a
a)
a = -2
b)
a = 2
c)
a = 5
d)
a = -1
24.
SOLVE FOR "X"
15 - 12x = 3 + 6X
a)
-1
b)
-2
c)
-3
d)
-0.444
25.
SOLVE FOR "X"
a)
5
b)
2
c)
6
d)
11
26.
2a+4=7+a
a)
a = 1
b)
a = -3
c)
a = -1
d)
a = 3
27.
22+2a=37+6+a
a)
a = 21
b)
a = 5
c)
a = -5
d)
a = -16
28.
7x - 11 = 5x + 25
a)
18
b)
17
c)
16
d)
15
29.
-7x - 36 = 20 -3x
a)
-12
b)
-14
c)
15
d)
8
30.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
31.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
32.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
33.

Solve for x:

6x + 14 = 8x + 4

a)

x = -5

b)

x = 5

c)

x = 10

d)

x = -10

34.
Solve the equation:
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
35.
Solve the equation
4x - 5x + 9 =5x - 9
a)
x = -3
b)
x = 9
c)
x = 3
d)
x = -9
36.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

37.

What is the first step to solve this equation:

-11 - 3x = 44 - 2x

a)

Add 3 to both sides

b)

Get the variable on one side

c)

Add 11 to both sides

d)

Add 2 on both sides.

38.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Be confused

39.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
40.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
41.
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
42.
a)
Function
b)
Not a Function
43.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
44.
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.
45.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
46.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
47.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
48.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
49.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
50.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
51.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
52.
Does the table represent a function?
a)
Yes, there  is a repeated x-value. 
b)
No, there aren't any repeated y-values. 
c)
Yes, there are repeated y-values. 
d)
No, there is a repeated x-value. 
53.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
54.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
55.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain.
Remember:  Domain is x 
(x,y)
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
56.
What is the range of the graph?
Remember: Range is y! 
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
57.
Does the graph represent a function?
If you have an x value that has 2 "y" values it is NOT a function! 
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
58.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
59.
All of the y values or outputs are called what?
a)
Domain
b)
Range
60.
All of the x values or inputs are called what?
a)
Domain
b)
Range
61.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
Range is the y values 
(x,y)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
62.
Identify the domain of the following relation:
Remember domain is the "x" values
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
63.
What is the domain of the graph?
Remember:   Domain is the "x" values from left to right
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
64.
What is the range of the graph?
Remember: Range is the "y" values (up and down) 
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
65.
What is the range?
Remember range is the "y" values (up and down) 
And an open circle means it DOES NOT equal that number - use < and >
Only use ≤ and ≥ with a closed circle. 
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
66.
What is the DOMAIN of this graph? 
Remember DOMAIN is "x" values that go left to right. 
a)
-4 ≤ x ≤ 3
b)
-1 ≤ x ≤ 4
c)
4 < x < 3
d)
-1 < x < 4
67.
Solve the formula for r.   What is the 1st step?
a)
Divide each side by t. 
b)
Subtract t from each side. 
c)
Add t to each side. 
d)
Multiply each side by t. 
68.
Solve for w:
A = LW
a)
A = L/W
b)
w = L/A
c)
w = A
d)
w = A/L
69.
Solve m - n = 5 for m.
a)
m = 5 + n
b)
m = -5 - n
c)
m = -5 + n
d)
m = 5 - n
70.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

71.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
72.
What is the first step (after setting up your workspace) to complete when solving this equation?
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
73.
What is the first step (after setting up your workspace) in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
74.
Solve:
y = mx + b , for b
a)
y - mx = b
b)
y + mx = b
c)
y/mx = b
d)
y + mx = -b
75.
Solve:
a - b - c = 9 , for a
a)
a = b + c + 9
b)
a = b - c + 9
c)
a = -b + c + 9
d)
a = -b - c + 9
76.
Solve:
d = rt   , for t
a)
d/r = t
b)
r/d = t
c)
d + r = t
d)
d - r = t
77.
What is the formula for standard form?
a)
y=mx+b
b)
y-y1=m(x-x1)
c)
Ax+By=C
d)
rise÷run
78.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

79.

What is the y-intercept of the line on the graph?

a)

(-3, 0)

b)

(0, 4)

c)

(0, -3)

d)

(4, 0)

80.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
81.
Which ordered pair could represent a y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
82.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

83.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

-3x + 2y = -12

84.

Solve for y (slope intercept form): 



                      2x + 3y = 12

a)

y= 6x + 2

b)

y = 23x +4y\ =\ -\frac{2}{3}x\ +4

c)

y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4

d)

y = 2x + 6

85.

Try again:

Solve 15x +3y = 12 for slope intercept form (solve for y)

a)

y = 5x +4y\ =\ -5x\ +4

b)

y = 4x +5y\ =\ 4x\ +5

c)

y = 5x + 3y\ =\ -5x\ +\ 3

86.

Put the following equation into Standard Form:

y = -2x + 6

a)

2x + y = 6

b)

6+y = -2x

c)

y = 6-2x

d)

3y + 2x = 12

87.

Ax + By = C is __________________

a)

slope intercept form

b)

standard form

c)

point slope form

d)

domain and range

88.
Put this into standard form:
y = 3x + 2
a)
y + 3x = 2
b)
3x + y = 2
c)
-3x + y = 2
d)
3x - 2y = 2
89.
What is the slope of 
6x-y=9?
a)
9/6
b)
-9
c)
6
d)
-6
90.

What kind of slope does the line have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

91.

What is the y-intercept in the equation y=2x+5y=-2x+5  

a)
-2
b)
3
c)
5
d)
Cannot be Determined
92.

What is the slope in the equation y=2x+3y=2x+3  

a)
2
b)
3
c)
5
d)
Cannot be Determined 
93.

Determine the slope and y-intercept. y=32x+3y=\frac{3}{2}x+3         

a)

slope: 5  

y-intercept: 3/2 

b)

slope: 3/2  

y-intercept: 3 

c)

slope:  4  

y-intercept: 3/2

d)

slope: 1/5  

y-intercept: 5 

94.
Which Graph is Linear?
a)
1st
b)

2nd

c)
3rd
d)
None
95.

Which value is the slope in the equation:

y= 4x + 2

a)

4

b)

2

c)

x

d)

4x

96.

Which value is the y-intercept in the equation:

y=2x2y=2x-2  

a)

2

b)

-2

c)

1

97.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
98.
The graph of a linear function is always straight?
a)
true
b)
false
99.
What is the slope of the line represented by the equation y = 7 - x?
a)
7
b)
0
c)
1
d)
-1
100.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

101.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

102.
Find the slope:
(8,5) and (-9, 5)
a)
Zero
b)
Undefined 
c)
-10/17
d)
-10/1
103.
Find the slope:
(-4, 3) and (-4, -7)
a)
5/4
b)
-10/8
c)
Zero
d)
Undefined
104.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
105.
Simplify:  (m9)2
a)
m11
b)
2m9
c)
m18
d)
m4.5
106.
Simplify:  (-5p)2
a)
-25p2
b)
25p2
c)
-5p2
d)
5p2
107.

Simplify: 3n55n103n^5\cdot5n^{10}  

a)

15n515n^5  

b)

8n158n^{15}  

c)

15n5015n^{50}  

d)

15n1515n^{15}  

108.

Simplify: (x3)(5x)\left(-x^3\right)\left(-5x\right)  

a)

5x45x^4  

b)

5x4-5x^4  

c)

5x35x^3  

d)

5x3-5x^3  

109.

Evaluate.

a)

0

b)

1

c)

7

d)

70

110.
Simplify
a)
75x6
b)
3x2
c)
75x2
d)
20x6