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Worksheets

Pre Algebra Review

Total questions: 90

Worksheet time: 5hrs 51mins

Name
Class
Date
1.
Simplify the expression.
v + 2 + v + 8
a)
v + 10
b)
2v + 6
c)
2v
d)
2v + 10
2.
Simplify the expression: -4(x-7)
a)
-4x+28
b)
4x-28
c)
-4x-28
d)
It is already simplified
3.
Simplify the expression: -3(2x+1)+6x
a)
-6x-3
b)
-3
c)
3
d)
6x+3
4.

Solve the proportion:

 29=x81\frac{2}{9}=\frac{x}{81}  

a)

x = 18

b)

x = 9

c)

x = 364.5

d)

x = 8

5.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
6.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
7.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
8.

Find the slope

a)

57-\frac{5}{7}

b)

57\frac{5}{7}

c)

75-\frac{7}{5}

d)

75\frac{7}{5}

9.

What is the equation of the line?

a)

y=53x+2y=-\frac{5}{3}x+2

b)

y=32x+5y=-\frac{3}{2}x+5

c)

y=25x+3y=\frac{2}{5}x+3

d)

y=35x+2y=\frac{3}{5}x+2

10.

find the slope

a)

32\frac{3}{2}

b)

32-\frac{3}{2}

c)

23\frac{2}{3}

d)

none of these

11.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

12.

What is the y-intercept of this line?

a)

(0, -2)

b)

 54-\frac{5}{4}  

c)

(-4, 4)

d)

 54\frac{5}{4}  

13.

Find the slope of the line

a)

45\frac{4}{5}

b)

54\frac{5}{4}

c)

5

d)

4

14.

Find the slope of the line

a)

-4

b)

14\frac{1}{4}

c)

4

d)

14-\frac{1}{4}

15.

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

a)

(2, -5)

b)

(5, -2)

c)

(-5, -2)

d)

(-2, 5)

e)

(-2, -5)

16.

Which system of linear equations is shown on the graph?

a)

y=4x2y=4x-2 and y=14x2y=\frac{1}{4}x-2

b)

y=14x2y=-\frac{1}{4}x-2 and y=4x2y=-4x-2

c)

y=14x2y=\frac{1}{4}x-2 and y=4x2y=-4x-2

d)

y=14x2y=-\frac{1}{4}x-2 and y=4x2y=4x-2

17.

Which system of linear equations represents the graph shown?

a)

y=3x+1y=3x+1 and y=x+3y=x+3

b)

y=x3y=-x-3 and y=x1y=x-1

c)

y=13x1y=\frac{1}{3}x-1 and y=x3y=x-3

d)

y=x1y=x-1 and y=3x3y=3x-3

18.

Which system of equations is represented by the graph shown?

a)

y=-x-1 and y=x+3

b)

y=3x and y=x

c)

y=x-3 and y=x+1

d)

y=x+1 and y=-x-3

19.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
20.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

21.

What type of solution is found by the following system of equations?


y = 2/3x + 8

y = 2/3x + 8

a)

One Solution

b)

No Solution

c)

Infinitely Many solutions

d)

None of the above

22.

Solve the equation.


2r - 11 = 5

a)

11

b)

16

c)

15

d)

8

23.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

24.

Simplify the expression:


4(x - 3) + 2

a)

3x

b)

4x -5

c)

4x - 10

d)

4x - 1

25.

2(y - 4) = 16

a)

10

b)

12

c)

4

d)

48

26.

Solve for x:


7(2x - 4) = 42

a)

x = 2

b)

x = 8

c)

x= 5

d)

x = 9

27.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, and then divide by 7

b)

divide by 7, and then subtract 10

c)

multiply by 7, and then subtract 10

d)

add 10, and then multiply by 7

28.

8x + 20 = 2(4x + 10)

a)

x = 8

b)

x = 10

c)

There is no solution.

d)

There are infinite solutions.

29.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
30.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
31.

What is the y intercept ?

a)

(1,0)

b)

(0, -1)

c)

(0, 1)

d)

(0,-2)

32.

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

a)

slope: 5;  y-intercept: (0,3) 

b)

slope:  32\frac{3}{2} ;   y-intercept: (0,3) 

c)

slope: 3;  y-intercept: (0, 32\frac{3}{2}  )

d)

slope:  32\frac{3}{2}  ; y-intercept (0, 0)

33.

Is this linear function proportional or non-proportional?

a)

proportional

b)

non-proportional

34.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
35.

What is the slope of the equation?

y = -2x - 1

a)

2

b)

-2

c)

-2x

d)

-1

36.

 y=6xy=6x  

Is this linear function proportional or non-proportional?

a)

proportional

b)

non-proportional

37.

What is the y-intercept?

y = 6x - 4

a)

6

b)

6x

c)

-4

d)

4

38.

Find the slope of the line.

Hint: rise/run

a)

1/2

b)

-1/2

c)

2

d)

0

39.

Consider the equation:

y = -5x + 4


Choose the lines below that have the same SLOPE as this line.

a)

y=3x+4y=3x+4

b)

y=5x+2y=-5x+2

c)

y=4x1y=4x-1

d)

y=5x4y=-5x-4

e)

y=x+4y=x+4

40.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
41.
How do you find the volume of a cone?
a)
V= 1/πr2h
b)
V= 4/πr2h
c)
V= 4/πr3
d)
V= πr2h
42.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
43.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
44.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth. Use  π\pi  = 3.14.

a)

810 cm3

b)

2543.4 cm3

c)

847.8 cm3

d)

2826 cm3

45.

Solve for the volume. Round to the nearest hundredth. Use the  π\pi  button.

a)

1526.81mi

b)

1326cm3

c)

6104.16mi3

d)

1026.04mi3

46.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

47.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
48.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.
a)
561.5 in³
b)
267.9 in³
c)
201 in³
d)
803.8 in³
49.
Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.
a)
83.6 cm³
b)
2144.7 cm³
c)
254 cm³
d)
2220 cm³
50.

Simplify:

 5x22x4x35x^2\cdot2x^4\cdot x^3  

a)

 10x910x^9  

b)

 7x97x^9  

c)

 10x2410x^{24}  

d)

 7x247x^{24}  

e)

 8x248x^{24}  

51.
m ⋅ m⋅ m6
a)
m30
b)
m12
c)
12m
d)
mm11
52.
What are the factors for 54?
a)
5 x 5 x 5
b)
4 x 4 x 4 x 4 x 4
c)
5 x 5 x 5 x 5
53.
Simplify the expression.
a)
1/y5
b)
1/y2
c)
y2
d)
y5
54.
Simplify.
a)
x7
b)
1/x3
c)
x3
d)
1/x7
55.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
56.
Simplify.
a)
y5
b)
y15
c)
1/y2
d)
1/y5
57.

Simplify. Express using exponents.

a)

b7

b)

b8

c)

b10

d)

b17

58.

Simplify. Express using exponents.

a)

12x6y4

b)

12x10y6

c)

22x10y6

d)

12x6y6

59.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
60.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

61.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

62.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

63.

Which of the following angles would NOT be congruent to the measure of  7\angle7 ?

a)

 2\angle2  

b)

 3\angle3  

c)

 6\angle6  

d)

 8\angle8  

64.

Which of the following is an example of corresponding angles?

a)

 8 and 4\angle8\ and\ \angle4  

b)

 5 and 7\angle5\ and\ \angle7  

c)

 1 and 7\angle1\ and\ \angle7  

d)

 3 and 5\angle3\ and\ \angle5  

65.

If the  m7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  2.\angle2.  

a)

 115°115\degree  

b)

 65°65\degree  

c)

 180°180\degree  

d)

Cannot be determined

66.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
67.
Find x.
a)
20 m
b)
24 m
c)
16 m
d)
4 m
68.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
69.

Find the length of the missing side.

a)

18 in

b)

24 in

c)

48 in

d)

20 in

70.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
71.

Which sets of angle measures would make a triangle?

a)

32°, 60°, 90°32\degree,\ 60\degree,\ 90\degree

b)

45°, 47°, 93°45\degree,\ 47\degree,\ 93\degree

c)

64°, 70°, 46°64\degree,\ 70\degree,\ 46\degree

d)

15°, 55°, 40°15\degree,\ 55\degree,\ 40\degree

72.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
73.
Find the measure of each angle indicated. 
a)
33°
b)
136°
c)
36°
d)
31°
74.
Find the measure of each angle indicated. 
a)
140°
b)
21°
c)
105°
d)
25°
75.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
76.
Find the measure of each angle indicated. 
a)
50°
b)
35°
c)
100°
d)
55°
77.
Find the measure of each angle indicated. 
a)
40°
b)
33°
c)
30°
d)
29°
78.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
79.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
80.
What is the value of x?
a)
15
b)
9
c)
12
d)
11
81.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> (  x-5 ,  y + 5)
c)
(x, y)  --> (  x-2 ,  y + 5)
d)
(x, y)  --> (  x+5 ,  y)
82.
Triangle ABC is going to be translated. How is ABC being translated if the rule (x,y) --> (x+3, y-2) is used?
a)
3 up and 2 left
b)
3 right and 2 down
c)
3 left and 2 up
d)
3 right and 2 up 
83.
Which answer represents a reflection across the x-axis, using the algebraic rule (x,y) --> (x, -y)?
a)
d
b)
c
c)
b
d)
a
84.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
85.
a transformation that changes the size of a figure, but not the shape
a)
translation
b)
rotation
c)
reflection
d)
dilation
86.
When you translate
(x-2 , y + 6) the figure will move _____.
a)
2 units right and 6 units right
b)
2 units left and 6 units down
c)
2 units left and 6 units up
d)
2 units left 6 units right
87.
What transformation is happening to the red triangle to get to the blue triangle?
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
88.

Which figure shows a rotation?

a)

Figure A

b)

Figure B

c)

Figure C

d)

Figure D

89.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
90.

Proportional or Non-Proportional?

a)

Proportional

b)

Non-Proportional