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Worksheets

Exam Practice 9th

Total questions: 150

Worksheet time: 9hrs 30mins

Name
Class
Date
1.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

2.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
3.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
4.

When you graph a line using slope-intercept form (y=mx+b), you graph the ___________ first and then use the ___________ to find the second point.

a)

origin; slope

b)

slope; y-intercept

c)

y-intercept; x-intercept

d)

y-intercept; slope

5.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

x-intercept

d)

standard form

6.

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

7.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
8.
Name the x- and y-intercepts for the equation:
2x - y = 6
a)
(0, 3) and (-6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, -6)
d)
(-3, 0) and (0, -6)
9.
What is the x-intercept of
x+4y=7?
a)
(7/4, 0)
b)
(0, 7/4)
c)
(7, 0)
d)
(0,7)
10.
What is the y-intercept of
2x-5y=35?
a)
(0,-7)
b)
(-7,0)
c)
(35/2, 0)
d)
(0,35/2)
11.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
12.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
13.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
14.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
15.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
16.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
17.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
18.



How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
19.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
20.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
21.
Solve the following system
x + 9y = 8
-6x - 9y = -3
a)
(1,-1)
b)
(1,1)
c)
(-1,1)
d)
(-1,-1)
22.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

23.
5x - 4y = =-16
x+ 2y = -6
a)
(-4,-1)
b)
(5,-1)
c)
(-5,-1)
d)
(4,1)
24.
2x - 3y = 6
7x - 3y = -9
a)
(-3,-4)
b)
(3,4)
c)
(-4,-3)
d)
(4,3)
25.
x = - 3
2x + 3y = 6
a)
(4,3)
b)
(-4,3)
c)
(-3,4)
d)
(3,-4)
26.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
27.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
28.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(0, 7)
d)
(0, -7)
29.
If given the equation
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
30.
What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
31.
Complete the square for
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
32.
Which equation best represents the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
33.
Which answer choice describes  y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum 
34.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
35.
Solve using the quadratic formula
a)
A 
b)
B 
c)
C 
d)
D 
36.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
37.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
38.
What is the equation for the axis of symmetry of 
f(x)= (x +1)2 + 5
a)
x = 1
b)
x = -1
c)
x = -5
d)
x = 5
39.
What is the vertex form of this quadratic?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = (x - 2)2 + 4
c)
f(x) = (x - 2)2 - 4
d)
f(x) = -(x - 2)2 - 4
40.
Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = (x + 4)2?
a)
a vertical translation 4 units up
b)
a vertical translation 4 units down
c)
a horizontal translation 4 units to the left
d)
a horizontal translation 4 units to the right
41.
In the equation f(x)=5(x+3)2-10 what does the 5 do?
a)
Vertical stretch by 5
b)
Horizontal compress by 5
c)
Reflect
d)
Move up 5
42.
If the blue graph is
f(x) = x2 
then the red must be...
a)
g(x) = x2 - 5
b)
g(x) = x2 + 5
c)
g(x) = (x - 5)2
d)
g(x) = (x + 5)2
43.
What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?
a)
horizontal shift down and vertical shift left
b)
horizontal shift left and vertical shift down
c)
horizontal shift right and vertical shift up
d)
horizontal shift up and vertical shift right
44.
How did we transform from the parent function?
g(x) = -1/5(x - 1)2 + 7
a)
reflection, vertical compression, horizontal right, vertical up
b)
vertical compression, horizontal shift left, vertical shift up
c)
reflection, horizontal shift right, vertical shift down
d)
no changes were made to y = x2
45.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
46.
What is the range of the function shown?
a)
{10, 19, 26}
b)
{-3, 0, 4}
c)
{-3, 0, 4, 10, 19, 26}
d)
{0, 16}
47.
What is the domain of the function graphed?
a)
x < 5
b)
x ≥ 1
c)
x > 0
d)
All real numbers
48.
Which of the inequalities below best describes the domain of the function shown on the graph?
a)
-2 ≤ x ≤ 2
b)
-5 ≤ x ≤ -3
c)
-2 ≤ x ≤ 3
d)
-5 ≤ x ≤ 3
49.
Given the function f(x) = 4x2 - 5, what is the range?
a)
All real numbers greater than or equal to -5
b)
All real numbers
c)
All real numbers greater than or equal to 5
d)
All real numbers less than or equal to -5
50.
What is the range of the following graph?
a)
all real numbers
b)
all integers
c)
any real number greater than zero
d)
it can not be determined
51.
side a on a right triangle is ALWAYS the longest side
a)
true
b)
false
52.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
53.

How do you cancel out the square when solving using Pythagorean Theorem?

a)

Divide

b)

Subtract

c)

Square Root

d)

Multiply

54.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
55.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
56.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
57.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
58.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
59.

If the given side lengths form a triangle, then classify the triangle as acute, right, or obtuse.

6, 9, 15

a)

Acute

b)

Right

c)

Obtuse

60.

If the given side lengths form a triangle, then classify the triangle as acute, right, or obtuse.

10, 12, 15

a)

Acute

b)

Right

c)

Obtuse

61.
What equation can be used to solve for x?
a)
Sin(40°)= x/40 
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
62.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
63.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
64.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
65.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
66.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
67.
A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 
a)
25 feet
b)
45 feet 
c)
110 feet 
d)
135 feet 
68.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
69.
a)

.75

b)

.6

c)

1.25

d)

45/27

70.
a)

14/48

b)

.96

c)

.28

d)

48/14

71.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
72.

Give the Ratio for SIN X

a)

Opp/Adj

b)

Adj/Hyp

c)

Opp/Hyp

d)

Adj/Opp

73.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
74.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
75.

Choose the correct ratio.

a)

cos(33o)=x/14

b)

sin(33o)=x/14

c)

cos(33o)=14/x

d)

sin(33o)=14/x

76.

How do you know which side is the OPPOSITE?

a)

It is next to the right angle

b)

It is opposite the right angle

c)

It is opposite the angle or Theta

d)

It is the bottom leg of the triangle

77.
a)
9/41
b)
40/41
c)
9/40
d)
3/10
78.

What is the value of tan 450 ?

a)

1/2

b)

0.7071

c)

0.8660

d)

1

79.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

d)

30.1

80.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

81.

Find the length of side AB. m<C = 53 degrees. m<B = 44 degrees. AC = 7.

a)

8.0

b)

8.8

c)

9.2

d)

10.3

82.

Which Law would you use to find side length BC?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

SOHCAHTOA

83.

Which Law would you use to solve for Angle B?

a)

SOHCAHTOA

b)

Law of Cosines

c)

Laws of the Masked Singer

d)

Law of Sines

84.

What is the measure of angle A? BC = 37 cm, AB = 29 cm and m<C = 50 degrees.

a)

70.7 degrees

b)

74.5 degrees

c)

77.8 degrees

d)

80.2 degrees

85.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
86.

Which Law would you use to solve for side AC?

a)

Law of Sines

b)

Law of Cosines

c)

Newton's Laws

d)

SOHCAHTOA

87.

What is the distance across the river? The two sides are 4.15 miles and 5.33 miles. The included angle measure is 37 degrees.

a)

2.9 miles

b)

3.2 miles

c)

3.6 miles

d)

3.9 miles

88.
Identify the Law of Sines
a)
Sin2x + Cos2x =1
b)
Sin(A)/a = Sin(B)/b = Sin(C)/c
c)
Sin(A)Sin(B)Sin(C) = 1
d)
Soh-Cah-Toa
89.

Use the Law of Cosines to find the measure of angle x. The side lengths shown are 25, 32 and 37. <x is opposite the 25 length side.

a)

38.5o

b)

41.7o

c)

45.1o

d)

51.3o

90.

What is the length of side x? x is opposite a 28 degree angle. 14 cm is the side length given.

a)

6.57 cm

b)

7.05 cm

c)

7.44 cm

d)

8.33 cm

91.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
92.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
93.
Please select the correct solution 
cos 2 x + sin 2 x=  
a)
1
b)
csc 2 x + sec 2 x
c)
sin 2 x
d)
1 - sin 2 x
94.
Please select the correct solution
a)
csc x
b)
sec x
c)
cot x
d)
tan x
95.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
96.
Simplify
a)
-1
b)
sin θ
c)
csc θ
d)
1
97.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
98.
Simplify
a)
sinθ
b)
cot²θ
c)
tan²θ
d)
cos²θ
99.
Simplify:  tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x
100.
Is this a pythagorean identity?
tan2x + 1 = secx
a)
Yes
b)
No
101.
Simplify this to a basic trigonometry function:
tan(x)csc(x) 
a)
tanx
b)
secx
c)
cotx
d)
cscx
102.
*
a)
sin x
b)
cos x
c)
tan x
d)
csc x
103.
a)
csc²θ
b)
sec²θ
c)
cscθ
d)
1
104.
a)
-1
b)
sin θ
c)
csc θ
d)
1
105.
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
106.
a)
csc x
b)
sec x
c)
1/sec x
d)
cos x
107.
a)
cos²x
b)
sin²x
c)
cot²x
d)
tan²x
108.
When verifying you must first ...
a)
pick a side to simplify 
b)
find a trig. identity 
c)
Change to sine and cosine
d)
Change Values
109.
Simplify this to a basic trigonometry function:
tan(x)csc(x) 
a)
tanx
b)
secx
c)
cotx
d)
cscx
110.
sin²x + cos²x + 1 
a)
0
b)
1
c)
2
d)
3
111.
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
112.
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
113.
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
114.
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
115.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
116.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
117.
What is the center of the given equation?
a)
(h, k) = (4, 3)
b)
(h, k) = (-4, -3)
c)
(h, k) = (-4, 3)
d)
(h, k) = (4, -3)
118.
Identify the center and the length of a and b.
a)
C: (0,4)  a= 25, b=4
b)
C: (0,0)  a= 4, b=25
c)
C: (0,5)  a= 2, b=5
d)
C: (0,0)  a= 5, b=2
119.
What is the center of the shifted ellipse?
a)
(0,0)
b)
(-3,1)
c)
(1,-3)
d)
(3,-1)
120.
What are the vertices of the ellipse?
a)
(0, 0)
b)
(7, 1) and (-1, 1)
c)
(3, -5) and (3, 7)
d)
(3, 1)
121.

What is the center of this hyperbola?

a)

(4,-2)

b)

(4,2)

c)

(3,3)

d)

(5,3)

e)

(7.5,3)

122.
Classify the conic section.
a)
Circle
b)
Ellipse
c)
Line
d)
None of these
123.
What conic section is pictured?
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
124.
What conic section is pictured?
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
125.
Identify this conic section
a)
Circle
b)
Degenerate Conic Section
c)
Parabola
d)
Hyperbola
126.
Classify the conic section.
a)
Circle
b)
Ellipse
c)
Hyperbola
d)
Parabola
127.
Classify the conic section.
a)
Circle
b)
Ellipse
c)
Hyperbola
d)
Parabola
128.
Classify the conic section.
a)
Circle
b)
Ellipse
c)
Hyperbola
d)
Parabola
129.
Classify the conic section.
a)
Circle
b)
Ellipse
c)
Hyperbola
d)
Parabola
130.
In the equation
(x+2)2+(y+3)2=49, what is the center of the circle?
a)
(2, 3)
b)
(3, 2)
c)
(-3, -2)
d)
(-2, -3)
131.

There were 8 students running in a race. How many different arrangements of first, second, and third place are possible?

a)

Permutation

b)

Combination

132.

There were 8 students running in a race. How many different arrangements of first, second, and third place are possible?

(a)  

133.

Student council needs to form a group of 5 members to help with a blood drive. How many groups can be formed from the 20 members?

a)

Permutation

b)

Combination

134.

Student council needs to form a group of 5 members to help with a blood drive. How many groups can be formed from the 20 members?

(a)  

135.

A club must choose a president and a vice president. If the team has 14 members, how many ways could the officers be chosen?

a)

Permutation

b)

Combination

136.

A club must choose a president and a vice president. If the team has 14 members, how many ways could the officers be chosen?

(a)  

137.

There are 8 different actors auditioning for the roles of Larry, Curly, and Moe. How many ways can the roles me cast?

a)

Permutation

b)

Combination

138.

There are 8 different actors auditioning for the roles of Larry, Curly, and Moe. How many ways can the roles me cast?

(a)  

139.

You have a coupon for a free 3-topping pizza. If there are 15 total topping to choose from, how many different pizzas are possible?

a)

Permutation

b)

Combination

140.

You have a coupon for a free 3-topping pizza. If there are 15 total topping to choose from, how many different pizzas are possible?

(a)  

141.

How many ways can five different books be arranged on a bookshelf?

a)

120

b)

3125

c)

60

d)

25

142.

How many ways can you answer a 10 question multiple choice quiz if each question has four options?

a)

1,048,576

b)

5040

c)

10,000

d)

210

143.

How many distinguishable 11-letter arrangements can be made from the letters of the word CHATTANOOGA?

a)

24

b)

39,916,800

c)

1,663,200

d)

77

144.

A human resources director interviews eight people for three identical positions. How many ways can she select three of people to move on to the second interview?

a)

56

b)

336

c)

512

d)

6561

145.

How many license plates are possible if each contains 3 letters followed by 3 digits? Letters and digits can be repeated.

a)

17,576,000

b)

11,232,000

c)

312,000

d)

2,176,782,336

146.

Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?

a)

18

b)

120

c)

36

d)

20

147.

For summer reading, students must choose one of 5 novels, one of 4 biographies, one of 7 non-fiction book, and one of 6 self-improvement books. How many ways can students choose 4 books for summer reading?

a)

840

b)

212,520

c)

8855

d)

1680

148.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

10

149.

A man has three pairs of pants, five shirts, and four ties. Assuming they all would match nicely, how many different outfits can he make?

a)

12 outfits

b)

27 outfits

c)

60 outfits

d)

120 outfits

150.

6 students are to be selected for student council leadership. There are 10 juniors and 12 seniors to choose from. How many ways can 3 juniors and 3 seniors be selected?

a)

340

b)

74613

c)

26,400

d)

1540

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