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WorksheetsPre-Algebra FSA Review
Total questions: 129
Worksheet time: 4hrs 0mins
Name
Class
Date
1.
Slope, in basic terms, is simply...
a)
Rise over run
b)
Run over rise
c)
Left over down
d)
Right over up
2.
In the equation y=mx+b, m is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
3.
In the equation y=mx+b, b is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
4.
The formula V=∏r2h is used to find the volume for ______.
a)
A cube
b)
A cylinder
c)
A sphere
d)
A cone
5.
In the Pythagorean Theorem, c is always the ____ number.
a)
largest
b)
smallest
c)
middle
d)
first
6.
The Pythagorean Theorem is _____.
a)
a2+b2=c2
b)
a2+c2=b2
c)
b2+c2=a2
d)
a2-b2=c2
7.
0.0000713 converted to scientific notation is ______.
a)
7.13 x 10-5
b)
7.13 x 105
c)
7.13 x 10-4
d)
7.13 x 104
8.
2305684 converted to scientific notation is ______.
a)
2.305684 x 106
b)
2.305684 x 10-6
c)
0.2305684 x 107
d)
0.2305684 x 10-7
9.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
10.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
11.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
12.
Sonya wrote the equation
y=0.1x + 5 to find the total cost of her phone bill, y, based on the number of texts she sends per month, x. What is the y-intercept of the equation of the line?
y=0.1x + 5 to find the total cost of her phone bill, y, based on the number of texts she sends per month, x. What is the y-intercept of the equation of the line?
a)
b=1/10
b)
b= 1/5
c)
b=1
d)
b=5
13.
Nicolas places his 30 foot ladder against a house he is painting. If the foot of the ladder is 8 feet from the base of the house, how high above the ground is the top of the ladder touching the house? Round to the nearest tenth.
a)
22.0 ft
b)
27.8 ft
c)
28.9 ft
d)
31.0 ft
14.
At a home improvement store, customers can rent a small cargo truck to transport any large items they purchase. The store charges $20 as a rental fee plus $7.50 per hour to rent the truck. Which equation best represents the situation?
a)
y=7.5x - 20
b)
y=7.5x + 20
c)
y=20x - 7.5
d)
y=20x + 7.5
15.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
16.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
17.
What is .0002 in scientific notation?
a)
2.0 x 10-2
b)
2.0 x 10-3
c)
2.0 x 10-4
d)
2.0 x 10-5
18.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
19.
REVIEW QUESTION
Is this table proportional or non-proportional?
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
20.
Determine the slope.
a)
m=1/7
b)
m=-1/7
c)
m=-7
d)
m=7
21.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
22.
a)
Function
b)
Not a Function
23.
Solve.
3 - 5x = -9 + x
3 - 5x = -9 + x
a)
4
b)
3
c)
2
d)
1
24.
What number is an irrational number?
a)
Square root of 25
b)
Square root of 49
c)
Square root of 50
d)
Square root of 81
25.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
26.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
27.
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
28.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
29.
What is the slope?
a)
2/3
b)
3/2
c)
-7
d)
-5
30.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
31.
-2... rational or irrational?
a)
Rational
b)
Irrational
32.
√29... rational or irrational
a)
Rational
b)
Irrational
33.
Which best describes an irrational number?
a)
Any number that can be expressed as a fraction
b)
A repeating decimal
c)
A number that is a non-terminating, non-repeating decimal.
d)
A perfect square.
34.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
35.
The cost of a hamburger (h) with different numbers of toppings (t) is represented by h = 3.55 + 0.40t. What does the 3.55 mean in the context of the problem?
a)
The cost will increase by $3.55 per topping
b)
The cost will be $3.95 for a hamburger with no toppings.
c)
The cost will be $3.55 no matter how many toppings you put on.
d)
The cost of the burger with no toppings will be $3.55.
36.
The graph represents the height of a burning candle. What is the meaning of the y-intercept?
a)
The time it takes to burn the entire candle.
b)
The rate at which the candle is losing height.
c)
The change in the height of the candle each hour.
d)
The original height of the candle.
37.
Which set of numbers contains only rational numbers?
a)
{2, 4.5, √16, ⅔, 8 x 106}
b)
{-3, -2, √18, 4.2}
c)
{π, 4, 0.345329..., -√25}
d)
{√27, π, -√36, 7.234}
38.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
39.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
40.
Which is a pair of alternate interior angles?
a)
∠3 and ∠6
b)
∠4 and ∠6
c)
∠3 and ∠7
d)
∠5 and ∠6
41.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
42.
What is the value of x?
a)
68
b)
86
c)
94
d)
112
43.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
44.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
vertical
45.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
46.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
47.
What is the y-intercept (b) in the linear function?
y = 5x - 4
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
48.
What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
a)
price of a saxophone
b)
rental fee
c)
total cost
d)
number of months
49.
This system has _____ solutions
a)
No Solutions
b)
1
c)
2
d)
Infinite Solutions
50.
Solve using SUBSTITUTION.
y = x + 5
4x + y = 20
y = x + 5
4x + y = 20
a)
(3, 8)
b)
(8, 3)
c)
(0, 2)
d)
(2, 0)
51.
What is the value of:
(3/4)0
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
52.
Simplify the following:
(x3)6
(x3)6
a)
x9
b)
x18
c)
x6
d)
x3
53.
Simplify the following:
x-3
x-3
a)
1/x-3
b)
x3
c)
1/x
d)
1/x3
54.
What is the value of:
4-2
4-2
a)
1/4
b)
1/16
c)
16
d)
4
55.
Simplify the following:
y6/y4
y6/y4
a)
y10
b)
y2
c)
y-2
d)
1/y2
56.
Simplify the following:
x5x-2
x5x-2
a)
x3
b)
x7
c)
x-7
d)
x-3
57.
y⁻¹¹⋅y⁵
a)
1⁄y⁶
b)
y⁶
c)
-y⁶
d)
-1⁄y⁶
58.
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
59.
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.
60.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
61.
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)
62.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
63.
Find the slope of the line.
a)
3/2
b)
2/3
c)
-3/2
d)
-2/3
64.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(4, -2)
c)
(4, 0)
d)
(0, 4)
65.
Write the equation of the line.
a)
y=3/5x+1
b)
y=3/5x-1
c)
y=5/3x+1
d)
y=3/5x+1
66.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
67.
Is this graph proportional?
a)
Yes
b)
No
68.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
69.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
70.
What is the solution to the system:
y=2x-6
y=-1/2x+4
y=2x-6
y=-1/2x+4
a)
(4, 2)
b)
(2, 4)
c)
(-4, 2)
d)
(-4, -2)
71.
What is the solution to the system?
a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
72.
-4x-2y=-12
4x+8y=-24
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
73.
x-y=11
2x+y=19
2x+y=19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
74.
Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0
−4x − 4y = 0
4x + 4y = 0
a)
(−6, −4)
b)
Infinite number of solutions
c)
(−6, 10)
d)
(6, 4)
75.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
76.
Is the solution positive, negative, zero, no solution or infinite solutions?
3x + 3 = 3x + 3
3x + 3 = 3x + 3
a)
infinite solutions
b)
negative
c)
no solution
d)
zero
77.
Is the solution positive, negative, zero, no solution or infinite solutions?
3x + 3 = 3x = 3
3x + 3 = 3x = 3
a)
infinite solutions
b)
negative
c)
no solution
d)
zero
78.
For what value of x is it the following equation true?
4(x + 5) = 4x + 5
4(x + 5) = 4x + 5
a)
3
b)
2
c)
no solution
d)
true for any value
79.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
80.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
81.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
82.
Solve for x:
7x + 5 + x - 3 + x = 5
7x + 5 + x - 3 + x = 5
a)
1/3
b)
3
c)
3/7
d)
1
83.
Solve for x:
8x + 2 + 3x + 5 = x + 12
8x + 2 + 3x + 5 = x + 12
a)
-1/2
b)
2
c)
-2
d)
1/2
84.
How many solutions are there?
6x + 2 = 6x + 5
6x + 2 = 6x + 5
a)
one solution
b)
many solutions
c)
no solutions
85.
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.
86.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
87.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
88.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
89.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
90.
Find the measure of each angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
91.
a)
A
b)
B
c)
C
d)
D
92.
a)
A
b)
B
c)
C
d)
D
93.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
94.
Find the measure of the indicated angle.
a)
34
b)
46
c)
62
d)
36
95.
How do you find the volume of a cylinder?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
96.
How do you find the volume of a cone?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
97.
How do you find the volume of a sphere?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
98.
A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?
a)
1,676 mm3
b)
18,850 mm3
c)
33,510.3 mm3
d)
268,083 mm3
99.
Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?
a)
7,389 cm3
b)
6,333 cm3
c)
3,167 cm3
d)
1,847 cm3
100.
A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?
a)
600 in3
b)
1,885 in3
c)
3,140 in3
d)
12,566 in3
101.
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?
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)
102.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
103.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
104.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
105.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
106.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
107.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
108.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
109.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
110.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
111.
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
112.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
d)
90 degrees clockwise
113.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
114.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
115.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
116.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
117.
Is this graph a function?
a)
Function
b)
Not a Function
118.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
119.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
120.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
121.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
122.
Find the slope of this line.
a)
m = 11
b)
m = 1
c)
m = 2
123.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
124.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
125.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
126.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
127.
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
128.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
129.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
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