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Grade 9 Review

Total questions: 178

Worksheet time: 8hrs 18mins

Name
Class
Date
1.
Solve the equation
a)
x = 56
b)
x = -56
c)
x = 8/7
d)
x = -8/7
2.
Solve the equation.
a)
u = 1.5
b)
u = 2
c)
u = 0
d)
u = 4
3.
Solve the equation.
a)
q = -46
b)
q =-5
c)
q = -9.2
d)
q = -9.5
4.
Solve the equation.
a)
z = 2
b)
z = 56
c)
z = 11/8
d)
z=10
5.
-4b - 3b = -14
a)
b = 5
b)
b = 2
c)
b = 15
d)
b = 12
6.
3r + 3r = 15 + r
a)
r = -2
b)
r = 3
c)
No Solution
d)
r = -8
7.
a)
7
b)
-16
c)
4
d)
-15
8.
Solve for the indicated variable.
a)
I = V/R
b)
I = R/V
c)
I = RV
d)
I = VR
9.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
10.
a)
-5
b)
-0.2
c)
0.2
d)
4
11.
a)
2
b)
0.5
c)
34 / 13
d)
8.8
12.
 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
13.
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
a)
y = 4x + 1.50
b)
y = 1.50x + 4
14.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. 
a)
C = 5h + 3
b)
C = 3h + 5
c)
H = 5c + 3
d)
H = 3c + 5
15.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
16.
What is the slope between the points
(-3, -4) & (7, 6)?
a)
0
b)
Undefined
c)
-1
d)
1
17.
What is the slope of this equation? 
y = 3x - 4 
a)
3
b)
-4
c)
3x
d)
4
18.
Calculate the slope.
a)
m= -2
b)
m=-1/2
c)
m=2
d)
m=1/2
19.
Find the slope of the line.
a)
3/2
b)
2/3
c)
-3/2
d)
-2/3
20.
What is the y-intercept of the following equation?  Y=-2/3x-1
a)
2/3
b)
2
c)
3
d)
-1
21.
y = 3 -x
a)
slope:-1   y-intercept:  3
b)
slope: 1/5   y-intercept:  5 
c)
slope: 1    y-intercept:  -3
d)
slope: -1   y-intercept:  -3
22.
Find the slope and y-intercept of this line.
a)
Slope is 3/2, y-intercept is 2
b)
Slope is 2/3, y-intercept is 2
c)
Slope is -3/2, y-intercept is 2
d)
Slope is -2/3, y-intercept is 2
23.
Which equation has a positive slope?
a)
y= 3x + 5
b)
y= -3x + 5
c)
y= -3x - 5
24.
Which equation has a positive slope?
a)
y= ¼x - 20
b)
y= -½x + 6
c)
y= -⅝x - 4
d)
y= 5 - x 
25.
Which equation has a negative slope?
a)
y= ¾x + 5
b)
y= ⅛x - 16
c)
y= 9 - ½x
d)
y= -10 + 4x
26.
Which equation has a negative y-intercept?
a)
y= 8 - 4x
b)
y= -¾x + 13
c)
y= -3 + ¼x
d)
y= 5x
27.
 A line has an equation of y = -3x + 8.  What is the y-intercept of the line?  Please enter your answer as a coordinate (x,y).
a)
(0, -3)
b)
(0, 3)
c)
(0, -8)
d)
(0, 8)
28.
Which line has a slope of 0?
a)
Line A
b)
Line B
c)
Line C
d)
Line D
29.
Which line has an undefined slope?
a)
Line A
b)
Line B
c)
Line C
d)
Line D
30.
What is the slope of Line A?
a)
1/2
b)
-1/2
c)
2
d)
-2
31.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
32.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
33.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
34.
Write the equation of the line.
a)
y=-3x-4
b)
y=-4x-3
c)
y=(-3/4)x-3
d)
y=(-4/3)x-3
35.
Given that the slope is  2/3 and the y intercept is -3 what is the equation of the line?
a)
y = 2/3x - 3
b)
y = 2/3x + 3
c)
y = -2/3x - 3
d)
y = -2/3x + 3
36.
Write the equation of the line through the points (-6, -19) and (2, 5).
a)
y = -7/2x + 12
b)
y = 3x + 11
c)
y = -7/2x - 40
d)
y = 3x - 1
37.
Write the equation of the line with slope 5/2 through the point (8, -2).
a)
y = 5/2x + 18
b)
y = 5/2x - 18
c)
y = 5/2x + 22
d)
y = 5/2x - 22
38.
Write the equation of the line through the points (7, 8) and (-12, -11).
a)
y = x + 1
b)
y = x + 15
c)
y = -x - 1
d)
y = -x - 23
39.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
40.

Slopes of perpendicular lines are...

a)

opposite (sign) reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

41.
-6x + y = 2
6x + y = 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
42.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
43.
A line is perpendicular to  
y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
44.
Write an equation that is parallel to the line
y = x - 5 through (1, -2)
a)
y = -3x +1
b)
y = x - 3
c)
y = x + 1
d)
y = 3x +1 
45.
Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)
a)
y = -7/2x + 4
b)
y = -4x - 7/2
c)
y = 4x - 7/2
d)
y = 7/2x + 4
46.
Write an equation for a line parallel to
y = 5/4x + 4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
47.
Write an equation of a line perpendicular to
y = 7x +1 through (-4, 0)
a)
y = 1/7x - 4/7
b)
y = -1/7x - 4/7
c)
y = 2/7x - 4/7
d)
y = -4/7x + 2/7
48.
What is the y-intercept of
2x-5y=35?
a)
(0,-7)
b)
(-7,0)
c)
(35/2, 0)
d)
(0,35/2)
49.
What is the slope of 
6x-y=9?
a)
9/6
b)
-9
c)
6
d)
-6
50.
What is the slope and y-intercept of:
y = -3x + 2?
a)
Slope = -3,
 y-intercept = 2
b)
Slope = 2,
 y-intercept = -3
c)
Slope = 3,
 y-intercept = -2
d)
Slope = 2,
 y-intercept = -3
51.
Find the x and y-intercepts:
y = 5x + 20
**HINT: Cover one variable with your finger and solve for the other
a)
x-intercept: (0, -4)
y-intercept: (20, 0)
b)
x-intercept: (-4, 0)
y-intercept: (0, 20)
c)
x-intercept: (5, 20)
y-intercept: (20, 5)
d)
x-intercept: (5, 1)
y-intercept: (20, 5)
52.
What is the generic model for standard form?
a)
Xa  + Yb = C
b)
Ax - By = C
c)
Ax + By = C
d)
Xa - Yb = C
53.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
54.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
55.
Write the following equation in slope-intercept form:
4x - 3y = 12
a)
y = -4/3x + 3
b)
y = -4x + 12
c)
y = 4/3x - 4
d)
y = 4/3x - 12
56.
Write the following equation in slope intercept form:
-x + 3y = 9
a)
y = 1/3x + 3
b)
y = 1/3x + 9
c)
y = -1/3x + 3
d)
3y = x + 9
57.
Which equation matches the graph?
a)
x = -5
b)
y = -5
58.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
59.
Which ordered pair could represent a y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
60.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
61.
Find the mean of these numbers:
4,2,5,6,3
a)
2
b)
5
c)
4
d)
6
62.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
63.

Find the mode of these numbers:

4,3,6,4,3,6,6,3,2,1,3

a)

3

b)

6

c)

4

d)

2

64.
Find the range of these numbers:
15,2,3,7,8,4,3,2,16,2,4
a)
2
b)
13
c)
14
d)
7
65.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
66.
What is the mean?
a)
# happening the most
b)
the number in the middle
c)
biggest-smallest
d)
the average
67.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
68.
What is the median?
a)
biggest- smallest
b)
average
c)
the middle #
d)
# that happens the most
69.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
a)
10
b)
12
c)
10 and 12
d)
No Mode
70.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
71.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
72.
What type of association does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
73.
What is the type of correlation?
a)
Negative 
b)
no association
c)
positive 
74.
What type of correlation does this graph show?
a)
Positive
b)
negative
c)
none
d)
all of the above
75.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 140 pages. 
a)
12 chapters
b)
19 chapters
c)
14 chapters
d)
21 chapters
76.
1.  Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam? 
a)
65
b)
92
c)
70
d)
76
77.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
78.
Based on the graph, if Joe earned $400, how many hours did he work?
a)
25 hours
b)
35 hours
c)
45 hours
d)
15 hours
79.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
80.
As x increases, y increases
a)
correlation coefficient
b)
causation
c)
positive correlation
d)
negative correlation
81.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
82.

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -5/8x + 170

c)

y = 25x + 170

d)

y = 5/8x + 170

83.

What is the equation of the line of best fit?

a)

y = 3/2x

b)

y = 30x

c)

y = 30x + 300

d)

y = 3/2x + 300

84.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
85.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
86.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
87.
 Simplify:   2√40 - 3√10 
a)
5√10
b)
√10
c)
-√30
88.
Add:  4√7 - 10 √7 + 7√7
a)
-6√7
b)
14√7
c)
-3√14
d)
√7
89.
Simplify:
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
90.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
91.
a)
A
b)
B
c)
C
d)
D
92.
a)
A
b)
B
c)
C
d)
D
93.
Simplify 2√5(3√3+6√2)
a)
6√15+12√10
b)
15√6+30√10
c)
90
d)
6√10+12√6
94.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
95.
SIMPLIFY:
a)
A
b)
B
c)
C
d)
D
96.
∛-8
a)
2
b)
-2
c)
4
d)
-4
97.
Simplify:
√100
a)
1
b)
10
c)
102
d)
Already simplified
98.
Simplify:  √31
a)
3√1
b)
already simplified
c)
1√3
d)
15√2 + 1
99.
Simplify:
a)
5x√2
b)
100x√2
c)
10x√2
d)
10√2x
100.
Evaluate without a calculator.
a)
A
b)
B
c)
C
d)
D
101.
√(49x3)
a)
7x2√x
b)
7x√x
c)
7√x3
d)
7x
102.
Simplify
a)
A
b)
B
c)
C
d)
D
103.
Read the question carefully and choose the correct answer.
a)
A
b)
B
c)
C
d)
D
104.
a)
A
b)
B
c)
C
d)
D
105.
a)
A
b)
B
c)
C
d)
D
106.
Solve
a)
h19
b)
h90
c)
h-1
d)
1/h1
107.
a)
A
b)
B
c)
C
d)
D
108.

(2x3y)6

a)

2x18y6

b)

26x18y6

109.
Solve
a)
0
b)
1
c)
m1
d)
m
110.
3x4 * 6x6
a)
18x10
b)
9x10
c)
18x24
d)
9x24
111.
a)

A

b)

B

c)

C

112.
a)

A

b)

B

c)

C

113.
Simplify (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
114.
Simplify x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
115.
Simplify.
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
116.
Simplify x2y-5
a)
x2/y5
b)
1/x2y5
c)
y5/x2
d)
x2/y-5
117.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
118.
Simplify the expression x5x7
a)
x35
b)
x12
c)
x2
d)
x-2
119.
Evaluate the expression using the quotient rule.
a)
y15
b)
y50
c)
y2
d)
y5
120.
Simplify the following:
x-3
a)
1/x-3
b)
x3
c)
1/x
d)
1/x3
121.
What is the value of:
2224
a)
2
b)
4
c)
64
d)
256
122.
Simplify the following:
(3ab2)3
a)
27a3b6
b)
3ab6
c)
3a3b6
d)
27ab2
123.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
124.
a)
y3/8
b)
y3/24
c)
y/24
d)
y3/83
125.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
126.
a)
F
b)
G
c)
H
d)
J
127.
Find the Surface Area.
a)
15.6m2
b)
96m2
c)
52.3m2
d)
890m2
128.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
129.
Find the Volume of the given figure.
a)
30 ft3
b)
36 ft3
c)
96 ft3
d)
11 ft3
130.
What do we call this object below?
a)
Net 
b)
Triangle
c)
Geometry
d)
y = mx + b
131.
Find the volume of the figure?
a)
460 cm 3
b)
660 cm 3
c)
60 cm 3
d)
360 cm 3
132.
Find the volume of the cylinder.
a)
4096π
b)
2048π
c)
1024π
d)
256π
133.

Find the volume of the following cone.

a)

6,612.8 m3

b)

2,204.3 m3

c)

2,106 m3

d)

3,306.4 m3

134.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
135.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
136.
When a sphere has a volume of 972π, what is the radius of the sphere?
a)
9
b)
7
c)
18
d)
21
137.
Find the surface area
a)
40. 8 pi yd sq
b)
163.2 pi yd sq
c)
116.4 pi yd sq
d)
157.2 pi yd sq
138.

Find the surface area of the prism.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

139.

What is the volume of this figure?

a)

24.6 yd^3

b)

12.75 yd^3

c)

27.5 yd^3

d)

25.5 yd^2

140.
Calculate the composite surface area of the figure.
a)
4605.38 cm2
b)
4541.76 cm2
c)
593.76 cm2
d)
4919.76 cm2
141.
a)
A
b)
B
c)
C
d)
D
142.
a)
A
b)
B
c)
C
d)
D
143.
Multiply
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
144.
a)
A
b)
B
c)
C
d)
D
145.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
146.
Simplify:
a)
-5a6 - 5a4
b)
-3a - 1a2
c)
-2a - 6a2
d)
5a3 - 5a2
147.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x- x
b)
4x+ 2x
c)
3x2 + 3x
d)
3x2 + 2x
148.
Find the perimeter of a rectangle with length (x-5) and width (3x+1).
a)
8x-8
b)
4x-4
c)
8x+8
d)
4x+12
149.
-5x3(2x2-9x+2)
a)
-10x6+45x3-10x3
b)
-10x5+45x4-10x3
c)
-10x5-45x4-10x3
150.
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
151.
Simplify the expression.
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
152.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
153.
Simplify
(x+4)2
a)
x2+16
b)
x2-16
c)
x+ 8x + 16
d)
x2+ 4x - 16
154.
Find the product:
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
155.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
156.
Mult (2x + 3)(3x + 4)
a)
6x2 + 17x + 7
b)
6x2 + 17x + 12
c)
6x2 + 8x + 12
d)
6x2 + 9x + 12
157.
Mult (4x + 3)(x + 2)
a)
x2 + 11x + 6
b)
4x2 + 8x + 6
c)
4x2 + 3x + 6
d)
4x2 + 11x + 6
158.
Mult (2x + 3)(2x + 5)
a)
4x2 + 16x + 15
b)
4x2 + 16 + 15
c)
4x2 + 16x + 15x
d)
4x + 16x + 15
159.
(2x + 8)(5x + 1)
a)
7x2 + 2x + 9
b)
10x2 + 42x + 8
c)
7x2 + 42x + 8
d)
10x2 + 40x + 8
160.
Factor:
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
161.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

162.
Factor:
x2 + 2x - 24
a)
(x - 6)(x + 4)
b)
(x + 6)(x + 4)
c)
(x - 6)(x - 4)
d)
(x + 6)(x - 4)
163.
Factor:
x2 + 10x + 24
a)
(x + 8)(x + 3)
b)
(x + 6)(x + 4)
c)
(x + 12)(x - 2)
d)
(x + 12)(x + 2)
164.
Find the factors of 100x2-64
a)
(10x-8)(10x+8)
b)
(x-10)(x+8)
c)
(10x+8)(10x+8)
d)
(10x-8)(10x-8)
165.
Find the factors of x2-81
a)
(x-9)(x+9)
b)
(x+9)(x+9)
c)
(x-9)(x-9)
d)
Can't be factored
166.
FACTOR
7w3-14w
a)
7w(w2-2)
b)
7w(w2-2w)
c)
7w(w-2)
d)
7w(w+2)
167.
Factor:
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
168.
Factor:
18b2-9b3
a)
9b2(18-9b)
b)
9b2(2-b)
c)
9b2(18-9b2)
d)
b2(2-b2)
169.
Factor: 5n² - 6n - 27
a)
(5n + 3)(n-9)
b)
(5n - 3)(n + 9)
c)
(5n + 9)(n - 3)
d)
(5n - 9)(n + 3)
170.
What is the GCF of 18 and 24?
a)
3
b)
6
c)
8
d)
9
171.
What is the GCF of 20 and 30?
a)
5
b)
2
c)
10
d)
20
172.
What is the GCF of 18k and 15k3
a)
3k2
b)
3k3
c)
3k
d)
5k
173.
What is the greatest common factor of the three terms in the expression?
24m3n5p + 6mn4p2 + 4mn5
a)
2mn
b)
24mn4
c)
2mn4
d)
2mn4p
174.
Factor
-10xy9z + 8y3z5
a)
2y4z(-20xy6 + 4z4)
b)
2y3z(-5xy6 +4z4)
c)
2y3z(-5xy6z + 4z5)
d)
2y3z(-5xy6z + 8z4)
175.
Factor
12j2k3 - 20hj
a)
4j(3jk3 - 5h)
b)
4j(6jk3 - 10h)
c)
4j(3jk2 - 5h)
d)
4j2(24j2k3 - 20h)
176.
Factor:
 2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
177.

Factor

x2 - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x2(1 - 5)

178.
What is the GCF? 3x+9
a)
x
b)
3
c)
9
d)
3x