Font size
S
M
L
XL
WorksheetsSemester Review
Total questions: 141
Worksheet time: 8hrs 49mins
Name
Class
Date
1.
A rational number can be written as a fraction.
a)
True
b)
False
2.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole, integers, rational
b)
integers, rational
c)
rational
d)
natural, rational
3.
-10 is a whole number
a)
True
b)
False
4.
0.8 is a rational number
a)
True
b)
False
5.
Classify the Number: 120
a)
Natural, whole, integers, rational, real
b)
Irrational, real
c)
Whole, Integers, rational, real
d)
Whole, natural
6.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
7.
Which statement is true?
a)
Every rational number is an integer
b)
Every whole number is a counting number
c)
Every integer is a whole number
d)
Every whole number is a rational number
8.
What number below is a natural, whole, integer, rational, and real number ?
a)
-4
b)
5.1
c)
0.7
d)
3
9.
What fraction is represented at point G?
a)
3/4
b)
2/3
c)
2/1
d)
1/5
10.
What fraction is represented at point S?
a)
1/4
b)
2/6
c)
1/5
d)
2/5
11.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
12.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(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
13.
Solve:
(6 x 106) / (2 x 103)
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
14.
Solve:
(2.1×102) × (3.0×104)
(2.1×102) × (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
15.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(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
16.
How do you write
1001
in scientific notation?
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
17.
The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.
a)
hydrogen, carbon, oxygen, silver, gold
b)
hydrogen, oxygen, gold, siver, carbon
c)
carbon, oxygen, silver, gold, hydrogen
d)
gold, oxygen, carbon, silver, hydrogen
18.
Write 0.037 in scientific notation.
a)
3.7 x 10-2
b)
3.7 x 102
c)
37 x 10-3
d)
37 x 103
19.
Write 6,700 in scientific notation.
a)
6.7 x 103
b)
6.7 x10-3
c)
67 x 102
d)
67 x 10-2
20.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?
?
a)
75
b)
76
c)
67
d)
77
21.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
22.
Which is GREATER?
27 or 72
27 or 72
a)
27
b)
72
c)
Neither, they are equal
23.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
24.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
25.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
26.
a)
10x9
b)
24x14
c)
24x9
d)
10x14
27.
(ab8c)(a-17c10)
a)
a17b8c11
b)
a16b8c11
c)
(b8c11)/(a16)
d)
a-17b8c10
28.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
30.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
30.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
31.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
32.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
33.
What is the y-intercept of the equation:
y = 2x - 3
y = 2x - 3
a)
-2
b)
2
c)
3
d)
-3
34.
Find the slope of the two points:
(5, -3) and (-9, -6)
Create a Table
(5, -3) and (-9, -6)
Create a Table
a)
3/14
b)
-3/14
c)
14/3
d)
-14/3
35.
Find the slope:
y = 2x - 10
y = 2x - 10
a)
1/2
b)
2
c)
5
d)
-10
36.
Find the slope.
a)
-2
b)
2
c)
-1/2
d)
1/2
37.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
38.
What is the equation for the line with a slope of 7 and passes through (0,1)?
a)
y = -7x + 1
b)
y = 7x + 1
c)
y = -1/7x - 1
d)
y = -1/7x + 1
39.
Given the three equations, decide which answer describes them.
A) y = 4x + 2
B) x + 4y = 3
C) -8y - 2x = 16
A) y = 4x + 2
B) x + 4y = 3
C) -8y - 2x = 16
a)
A is parallel to C
b)
B is parallel to A
c)
C is perpendicular to A
d)
B is perpendicular to C
40.
What is the equation for the line with a slope of 7 and passes through (0,1)?
a)
y = -7x + 1
b)
y = 7x + 1
c)
y = -1/7x - 1
d)
y = -1/7x + 1
41.
Given the three equations, decide which answer describes them.
A) y = 4x + 2
B) x + 4y = 3
C) -8y - 2x = 16
A) y = 4x + 2
B) x + 4y = 3
C) -8y - 2x = 16
a)
A is parallel to C
b)
B is parallel to A
c)
C is perpendicular to A
d)
B is perpendicular to C
42.
Write an equation for a line that is perpendicular to the graph shown and passes through the point (4,-1)
a)
y = 2x + 3
b)
y = 1/2x - 3
c)
y = 1/2x - 1
d)
y = -2x + 1
44.
Write the an equation for the graph shown.
a)
-2y = x + 4
b)
2y = x +2
c)
y = 1/2x + 2
d)
2y = -x - 4
44.
Write the an equation for the graph shown.
a)
-2y = x + 4
b)
2y = x +2
c)
y = 1/2x + 2
d)
2y = -x - 4
45.
Bike rental at Como Park is $3.50 per hour. Which equation shows how much it costs to rent a bike?
a)
y = 3.50x
b)
y = x + 3.50
c)
y = 3.50 ÷ x
d)
y = x ÷ 3.50
46.
Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the equation to find the total amount, y, for a pizza with x, the number of toppings.
a)
y=1.50x
b)
y=1.50x+15x
c)
y=15x+1.50
d)
y=1.50x+15
47.
Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?
a)
y = 4 + 5x
b)
y = 5 + 4x
c)
y = 4•5•x
d)
y = 5x - 4
48.
Allison works as a baby-sitter and makes $4.00 an hour. So far, she has earned $32.00 from her baby-sitting jobs. If she continues to baby-sit, which equation represents the relationship between her total earnings (y) and the number of hours she baby-sits (x)?
a)
A. y = 32x + 4
b)
B. y = 32 + x + 4
c)
C. y = (32)(4)(x)
d)
D. y = 4x + 32
49.
What is the equation of this line?
a)
0
b)
undefined
c)
y = -2
d)
x = -2
50.
Which axis runs vertically?
a)
x
b)
Y
51.
Which axis runs horizontally?
a)
x
b)
y
52.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
53.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
54.
Which equation matches the graph? (Click me to see the image)
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
55.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
56.
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
57.
What is the equation of the linear function?
a)
y = -3x + 10
b)
y = -3x + 16
c)
y = 3x + 10
d)
y = 3x + 16
59.
Use the table to write the equation.
a)
y=-4x+6
b)
y=6x+4
c)
y=4x+6
d)
y=4x-2
59.
Use the table to write the equation.
a)
y=-4x+6
b)
y=6x+4
c)
y=4x+6
d)
y=4x-2
60.
What is the equation of the table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
61.
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
62.
Match the graph with the equation.
a)
y = 3/2 x - 6
b)
y = -6x + 2/3
c)
y = 2/3 x - 6
d)
y = 2/3x + 6
63.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
64.
x2•x10
a)
x20
b)
x8
c)
x12
d)
Choose if you are Guerra
65.
Simplify:
(x3)2
(x3)2
a)
x5
b)
x
c)
x6
d)
3x2
67.
3x3y (2x8y5)
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
67.
3x3y (2x8y5)
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
68.
∛512 = ?
a)
≈177
b)
-8
c)
-8, 8
d)
8
69.
simplify 5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
70.
Simplify to an equivalent expression BUT leave in exponent form.
43⋅45
43⋅45
a)
48
b)
168
c)
415
d)
1615
77.
evaluate ∛64
a)
-4
b)
4
c)
21.333
d)
-21.3333
72.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
73.
Simplify (7x4)(9x3)
a)
16x12
b)
79 x12
c)
63x4+3 = 63x7
d)
63x12 noooo oh nooooo
74.
The amount of bacteria in an infection n hours after taking medication is (1/x3)n .
Write a simplified expression that represents the amount of bacteria in an infection 4 hours after taking medication.
Write a simplified expression that represents the amount of bacteria in an infection 4 hours after taking medication.
a)
(1/x3)4
b)
(1/x3)-4
c)
(1/x7)
d)
(1/x3)4 = (14) / (x3 times4) = 1/x12
75.
Simplify and leave in exponent form
82/85
82/85
a)
83
b)
82-5 = 8-3 = 1/83
c)
8-3
d)
87
76.
which is/are equivalent to 55 ?
54⋅50 54⋅51 54⋅52 56⋅5-1
54⋅50 54⋅51 54⋅52 56⋅5-1
a)
54⋅50 54⋅51
b)
54⋅51 54⋅52
c)
54⋅52 56⋅5-1
d)
54⋅51 56⋅5-1
77.
evaluate ∛64
a)
-4
b)
4
c)
21.333
d)
-21.3333
81.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
83.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
80.
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
81.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
82.
Rewrite the expression as a power.
(24)(25)
(24)(25)
a)
220
b)
49
c)
420
d)
29
83.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
84.
78 / 76
a)
7
b)
49
c)
1/7
d)
1/49
85.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
86.
Simplify (7x4)(9x3)
a)
16x12
b)
79 x12
c)
63x4+3 = 63x7
d)
63x12 noooo oh nooooo
87.
Find the slope of the line.
a)
-2/1
b)
2/1
c)
-1/1
d)
1/1
88.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
89.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
91.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
91.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
97.
Tell whether or not the graph shows a proportional relationship. If it is proportional, tell the constant of proportionality.
a)
proportional -2
b)
proportional 2
c)
proportional 1/2
d)
not proportional
94.
Tell whether the table represents a linear or non-linear relationship. If it is linear, state the rate of change.
a)
Linear 2/3
b)
Linear -3/2
c)
Linear -2/3
d)
Not linear
94.
Tell whether the table represents a linear or non-linear relationship. If it is linear, state the rate of change.
a)
Linear 2/3
b)
Linear -3/2
c)
Linear -2/3
d)
Not linear
97.
Tell whether or not the graph shows a proportional relationship. If it is proportional, tell the constant of proportionality.
a)
proportional -2
b)
proportional 2
c)
proportional 1/2
d)
not proportional
96.
Find the slope.
a)
1/2
b)
-1/2
c)
2
d)
-2
97.
Tell whether or not the graph shows a proportional relationship. If it is proportional, tell the constant of proportionality.
a)
proportional -2
b)
proportional 2
c)
proportional 1/2
d)
not proportional
98.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
101.
Is the graph proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
100.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
101.
Is the graph proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
102.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
103.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
104.
Does this graph represent a proportional relationship?
a)
Yes, because the line is pretty.
b)
No, because the line goes through the origin.
c)
Yes because the line goes through the origin.
d)
No, because the graph is non-proportional.
105.
REVIEW QUESTION
Is this table proportional or non-proportional?
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
106.
A line is linear if it forms a straight line. A line that does not form a straight line is non-linear. Which best describes this graph?
a)
linear and non-proportional
b)
non-linear and non-proportional
c)
linear and proportional
d)
non-linear and proportional
107.
If y varies directly with x, and y=12 and x=144, what is k?
a)
k=12
b)
k=21
c)
k=111112
d)
k=666
108.
What makes a graph proportional?
a)
Linear
b)
The line goes through the origin
c)
Curvy line
d)
Linear and the line goes through the origin
109.
In the equation y = 14/7x, what is the constant of proportionality?
a)
y
b)
2
c)
14
d)
7
111.
What does k represent in the equation y = kx?
a)
Multiplication
b)
constant of proportionality
c)
Kilograms
d)
Equations
111.
What does k represent in the equation y = kx?
a)
Multiplication
b)
constant of proportionality
c)
Kilograms
d)
Equations
112.
Calculate the rate of change.
a)
1
b)
2
c)
11
d)
Not a constant rate of change
113.
Unit means...
a)
one
b)
two
c)
three
d)
proportional
114.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
115.
Is this table proportional?
a)
Yes
b)
No
116.
Which equation matches the given graph?
a)
y=0.45x
b)
y = 2/5x
c)
y = 4x
d)
k = ¼
117.
What is the Constant of Proportionality?
a)
k=46
b)
k=92
c)
k=0.2
d)
not proportional
119.
The "Distance from Home" (miles) is best described as:
a)
a) on the x-axis
b)
b) the dependent variable
c)
c) the independent variable
d)
d) both a & c
119.
The "Distance from Home" (miles) is best described as:
a)
a) on the x-axis
b)
b) the dependent variable
c)
c) the independent variable
d)
d) both a & c
120.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
121.
The vertical axis; usually for values.
a)
X-axis
b)
grids
c)
Y-axis
d)
legend
122.
After 4 minutes a submarine has dove 600 feet below sea level. After 10 minutes it has reached a depth of 1,500 feet and after 25 minutes it is 3,750 feet below sea level. What is the constant of proportionality at which the submarine dives?
a)
300
b)
150
c)
3750
d)
600
123.
It took Leroy’s family 6 hours to hike 26 km. What was the average speed of Leroy’s family?
a)
4.3 km
b)
4.375 km
c)
17.3 km
d)
20 1/4
124.
Write the equation for this table.
K=9
K=9
a)
y=9
b)
y=9x
c)
y=1/9
125.
Write the equation for the table given.
a)
y = 16/2x
b)
y=8x
c)
y=12x
126.
What is the rate of change in the table given?
a)
15
b)
1/15
c)
28
127.
Does the table represent a proportional relationship? Use graph paper if necessary.
a)
Yes.
b)
No.
128.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number of cats (c).
a)
c=15
b)
c=18
c)
c=21
d)
c=16
129.
What ordered pair is 5 units to the right and 3 units up from the origin?
a)
(-3, -5)
b)
(-3, 5)
(-3, 5)
(-3, 5)
c)
(5, 3)
d)
(3, 5)
130.
Given the ordered pair (2,7), the 2 represents the...
a)
x-value
b)
y-value
c)
intercept
d)
slope
131.
Which quadrant contains the point (-2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
132.
A certain gym charges a $50 membership fee to join plus $15 a month to attend. Which equation models this situation?
a)
y = 65x
b)
y = 15x + 50
c)
y = 50x + 15
d)
y = 15x - 50
133.
Consider the equation:
y=-x+4
Identify the slope and y-intercept.
y=-x+4
Identify the slope and y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
134.
When graphing the equation 8x+3y=15 what is the first thing that you would do to get "y" by itself?
a)
Subtract 8
b)
Subtract 15
c)
Subtract 8x
d)
Divide by 3
135.
How do you graph the equation
y=-3x +15?
y=-3x +15?
a)
Plot the point (15,0). Then go down 3 right 1 to plot the next point.
b)
Plot the point (0,15). Then go down 3 right 1 to plot the next point.
c)
Plot the point (0,15). Then go down 3 left 1 to plot the next point.
d)
Plot the point (15,0). Then go down 1 right 3 to plot the next point.
136.
Simplify
3(x2 + 7x -2)
3(x2 + 7x -2)
a)
3x2 +10x-1
b)
3x2+21x-6
c)
3x2 +21x+6
d)
x=5
137.
Simplify 5x + 3 -2x + 1
a)
7x2 +4
b)
5x+1
c)
7x + 4
d)
3x+4
139.
Solve 5x + 7 = -13
a)
x=4
b)
x=-4
c)
x=5
d)
x=-5
139.
Solve 5x + 7 = -13
a)
x=4
b)
x=-4
c)
x=5
d)
x=-5
140.
What is the first step (after setting up your workspace) to complete when solving this equation?
10 - 3y = 4
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
141.
What is the first step (after setting up your workspace) in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
Reset
