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Pre-Calculus: 1.1-2.1 Gnarly Charlie

Total questions: 267

Worksheet time: 22hrs 8mins

Name
Class
Date
1.

Which of the following is the correct definition of an angle?

a)

A figure formed from two rays, lines, or segments extending from the same point, known as a vertex

b)

A figure formed from two or more rays, lines, or segments extending from the same point, known as a vertex

c)

A figure formed from two or more rays, lines, or segments extending from the same point, known as a pivot

d)

A figure formed from two or more rays, lines, or segments extending from multiple points, known as a vertex

2.

What is a vertex?

a)

The point where two rays meet to form at least two angles

b)

The point where two or more rays meet to form an angle

c)

The point where two rays meet to form an angle

d)

The point where two angles meet to form a bigger angle

3.

Which of the following is not one of the ways angles are named?

a)

By three lowercase letters, with the vertex letter in the middle

b)

By one lower case letter or number written in the middle of the angle

c)

By one capital letter. This can only be used if an angle is the only angle it could be

d)

By three capital letters, with the vertex letter in the middle

4.

What's the definition of a triangle?

a)

A three-sided polygon that has three angles and sides.

b)

A three-sided polygon that has three angles, vertices, and sides.

c)

A three-sided polygon that has three angles

d)

A three-sided polygon that has three sides.

5.

Which of the following is not a type of angle?

a)

Acute angle

b)

Obtuse angle

c)

Right angle

d)

Parallel angle

6.

What is the sum of the interior angles of a triangle?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

7.

Which of the following is a property of an equilateral triangle?

a)

All sides are of different lengths

b)

All angles are different

c)

All sides are of equal length

d)

It has one right angle

8.

What type of angle is this?

a)

Acute Angle

b)

Obtuse Angle

c)

Right Angle

d)

A Big Angle

9.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
10.
What type of angle is this?
a)
acute
b)
obtuse
c)
right
d)
straight
11.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
12.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

13.
Use the image to answer the question.
a)
Definition of complementary angles
b)
Definition of vertical angles
c)
Definition of supplementary angles
d)
Definition of right angle
14.
What term is used to describe a pair, or group, of angles that equal 180 degrees?
a)
Supplementary Angles
b)
Complementary Angles
c)
Vertical Angles
d)
Congruent Angles
15.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
16.

Find the missing angle.

a)

53

b)

67

c)

77

d)

43

17.
What kind of angles are shown?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
18.
What is the measure of the missing angle?
a)
76
b)
66
c)
156
d)
154
19.

The Pythagorean Theorem ONLY works on which triangle? 

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

20.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

21.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

22.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

23.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

24.

Is this a right triangle

a)

Yes

b)

No

25.

What is the opposite of squaring a number

a)

divide

b)

multiply

c)

square root

d)

fractions

26.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? 

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

27.
What is the diagonal length of the iPad?
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
28.
Which equation is modeled by the picture shown?
a)
32+52=42
b)
32+42=52
c)
52+42=32
d)
92+162=252
29.

An ______________ triangle has 3 equal sides

a)

equilateral

b)

isosceles

c)

scalene

d)

Doritos

30.

An ______________ triangle has 2 equal sides

a)

equilateral

b)

isosceles

c)

scalene

d)

Pizza

31.

A ______________ triangle has No equal sides

a)

equilateral

b)

isosceles

c)

scalene

d)

Pizza

32.

What type of triangle does the picture show?

a)

equilateral

b)

isosceles

c)

scalene

d)

Pizza

33.

What type of triangle does the picture show?

a)

equilateral

b)

isosceles

c)

scalene

d)

Pizza

34.

What type of triangle does the picture show?

a)

equilateral

b)

isosceles

c)

scalene

d)

Pizza

35.
Name this triangle
a)
Acute, Scalene
b)
Obtuse, Scalene
c)
Right, Isosceles
d)
Acute, Equilateral
36.
Classify the following triangle in as many ways as possible. 
a)
Right, Equilateral
b)
Obtuse, Scalene
c)
Obtuse, Equilateral
d)
Right, Scalene
37.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

38.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
39.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
40.

Level 4

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)

23 feet

b)

26 feet

c)

27 feet

d)

22 feet

41.

Find x.

a)

42.9

b)

21

c)

33.3

d)

21.9

42.

Tom is lying on the grass, holding the end of a kite's string which is 10m long. His friend Jenny is standing directly under the kite 8m away from him.

The kite is _ meters high. (Enter whole number)

(a)  

43.


b2b^2 =

a)

100-49

b)

100+49

c)

49-100

44.

This trapezium is made up of a triangle and a square.

Two sides of the triangle have lengths 13 cm and 12 cm while one side of the square forms the third side of the triangle.

The area of the square is (number+unit squared)

(a)  

45.

The dimensions shown on this triangle are incorrect because:

a)

The square of the largest number does not equal the sum of the squares of the two smaller numbers

b)

the side opposite the right angle is not marked as the longest side

c)

sides of that length cannot form a right angled triangle

46.

Brian travels 3.0 miles due north then an unknown distance due west and finds himself 6.0 miles from his starting point. He traveled approximately (a)   miles west. (Rounded to the nearest tenth)

47.

The distance between bases on a baseball diamond is 90 feet. The distance between third and first base is (a)   feet rounded to the tens place.

48.
Which has the same absolute value as -55?
a)
0
b)
-1
c)
1
d)
55
49.
Is absolute value always positive?
a)
yes
b)
no
50.
|-20|
a)
20
b)
-20
51.
Which statement is true?
a)
The absolute value of 3 is -3
b)
The opposite of 7 is 7
c)
The absolute value of 5 is equal to the opposite of 5
d)
The opposite of -4 is equal to the absolute value of -4
52.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
53.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
54.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
55.
What is the absolute value of |-26|
a)
26
b)
-26
c)
-36
d)
36
56.
What is the absolute value of |-37|.
a)
0
b)
37
c)
-37
d)
30
57.
Compare |-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
58.
What is the absolute value of |572|.
a)
275
b)
-572
c)
57
d)
572
59.
The absolute value of 79 is 79.
a)
False 
b)
True
60.
The absolute value of -3 is the distance between:
a)
3 and -3 on the number line
b)
-3 and 0 on the number line
c)
1 and 3 on the number line
d)
1 and -3 on the number line
61.
a)
|10| = 10
b)
|-10| = 10
c)
|-10| = -10
d)
-|10| = 10
62.
What is the absolute value of -1/5? 
a)
1/5
b)
-1/5
c)
0
63.
The absolute value of 7 is 7 and the absolute value of -7 is also 7. 
What numbers have the absolute value of 2/3?
a)
1/3 and 2/3
b)
0, 2/3, and -2/3
c)
2/3 and -2/3
d)
3/2 and -2/3
64.
Select the true statement
a)
|-220| = -220 and 220
b)
-|220|=  220
c)
|-220|= 220
d)
|-220|= -220
65.
Find the absolute value
a)
-43
b)
43
c)
-43 and 43
d)
1/43
66.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

67.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

68.

Evaluate: |0|

a)

0

b)

-0

c)

+0

d)

There is no answer

69.

Compare: -2 and |-2|

a)

<

b)

>

c)

=

70.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

71.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

72.

What is the definition of an opposite?

a)

The distance a number is to zero

b)

A number with the same digit(s) but opposite sign

73.

What is the opposite of -12

a)

12

b)

-12

c)

0

74.

What is the opposite of 23

a)

23

b)

-23

c)

2/3

d)

0

75.

What is the opposite of 0

a)

-0

b)

+0

c)

0

d)

There is no opposite

76.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

77.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

78.

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

a)

-18, -13, -7, |5|, |-14|

b)

-18, |-14|, -13, -7, |5|

c)

-7, -13, |-14|, -18, |5|

d)

|5|, -7, -13, |-14|, -18

79.

Order from Least to Greatest

|-24|, -23, -18, |15|

a)

-23, -18, |15|, |-24|

b)

|15|, -18, -23, |-24|

c)

-18, -23, |15|, |-24|

d)

|-24|, -24, -23. -18, |15|

80.

Order from least to greatest:

-58, |-60|, -55, -61

a)

-61, -58, -55, |-60|

b)

-61, |-60|, -58, -55

c)

-55, -58, |-60|, -61

d)

-55, -58, -61, |-60|

81.

20 degree drop in temperature

a)

-20

b)

20

82.

Increase of $4 per hour

a)

$4 per hour

b)

-$4 per hour

83.

A withdrawal of $15

a)

$15

b)

-$15

84.

Descending 20 meters into the ocean

a)

20 meters

b)

-20 meters

85.

A $30 deposit to your bank account

a)

$30

b)

-$30

86.

An ordered pair is also called

a)

Origin

b)

Coordinate

c)

Cartesian Plane

d)

Quadrant

87.

When we use or give coordinates, they are in this order:

a)

y,z

b)

y,x

c)

x,y

d)

x,y,z

88.

The horizontal line (or horizontal axis) is called the...

a)

x-axis

b)

y-axis

c)

origin

d)

quadrant

89.

The vertical line (or vertical axis) is called the...

a)

quadrant

b)

coordinate

c)

y-axis

d)

x-axis

90.

The Cartesian Plane is also called the...

a)

quadrant

b)

graphing

c)

coordinate plane

d)

small plane

91.

Point A is in quadrant...

a)

1

b)

2

c)

3

d)

4

92.

Point C is in quadrant...

a)

1

b)

2

c)

3

d)

4

93.

Point D is in quadrant...

a)

1

b)

2

c)

3

d)

4

94.

Point B is in quadrant...

a)

1

b)

2

c)

3

d)

4

95.

the origin's coordinates are...

a)

(1,2)

b)

(-3,-3)

c)

(1,1)

d)

(0,0)

96.

Which among these mathematicians was the Cartesian Plane named after?

a)

Euclid

b)

Pythagoras

c)

Rene Descartes

d)

Blaise Pascal

97.

For the coordinates of the point in quadrant IV, the x value and y value are always _____ and ______, respectively.

a)

negative, positive

b)

negative, negative

c)

positive, negative

d)

positive, positive

98.

In the quadrant l, the values of x and y are always ____, and _____, respectively.

a)

positive, positive

b)

positive, negative

c)

Negative, negative

d)

Negative, positive

99.

The point of intersection of the the horizontal and vertical number lines is called _____.

a)

y-axis

b)

x-axis

c)

origin

d)

quadrant

100.

The point (9, −1) is an example of______.

a)

fractions

b)

numbers

c)

labels

d)

ordered pair

101.

Point (−7, −5) is located in which quadrant?

a)

I

b)

II

c)

III

d)

IV

102.

The coordinates for the origin in the coordinate plane are________?

a)

(0,1)

b)

(0,0)

c)

(1,1)

d)

(1,0)

103.

When plotting the point (−8,1), which describes the movement along the x-axis and y-axis in the correct order?

a)

8 units right then 1 unit up

b)

8 units down then 1 unit left

c)

8 units left then 1 unit up

d)

8 units up then 1 unit right

104.

Which of the following is true about point (5, 5)?

a)

It lies in x-axis

b)

It lies in y-axis

c)

It lies in Quadrant I

d)

It lies in Quadrant II

105.

In which quadrant is point A located?

a)

I

b)

II

c)

III

d)

IV

106.

Where is point F located?

a)

(7,-5)

b)

(7,5)

c)

(-7,5)

d)

(-7,-5)

107.

The point (-12,-10) is located in which quadrant?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

108.

Samantha is going to draw a rectangle on this grid. Give the co-ordinates of the fourth point on her rectangle.

a)

(-6, 4)

b)

(4, -6)

c)

(4, 6)

d)

(-4, -7)

109.

Point M is at (-5,4). How far is M from the x axis?

a)

4

b)

5

c)

-4

d)

-5

110.

Where is T?

a)

(3,2)

b)

(-3,2)

c)

(-2,-3)

d)

(-3, -2)

111.

Is this a 30-60-90 triangle?

a)

Yes

b)

No

c)

No clue

112.

Is this a 30-60-90 triangle?

a)

Yes

b)

No

c)

No clue

113.

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the HYPOTENUSE?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √3

d)

Divide by √3

114.

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the LONG LEG?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √3

d)

Divide by √3

115.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
116.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
117.

Find x.

a)

22

b)

11311\sqrt{3}

c)

11211\sqrt{2}

d)

11

118.

Find a.

a)

12

b)

24

c)

24324\sqrt{3}

d)

16

119.

Find a.

a)

9

b)

939\sqrt{3}

c)

92\frac{9}{2}

d)

636\sqrt{3}

120.

Find y.

a)

6

b)

24

c)

12312\sqrt{3}

d)

636\sqrt{3}

121.
Find the value of x and y.
a)
x = 8√3, y = 16
b)
x = 4, y = 8√3
c)
x = 16, y = 8√3
122.
Find the value of m and n.
a)
m = 24√3, n = 24
b)
m = 6√3, n = 6
c)
m = 24/√3, n = 24
123.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
124.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
125.

Find y.

a)

10

b)

3

c)

6

d)

5

126.

Find y. (Careful - these last few problems are review from yesterday's lesson!)

a)

11√2

b)

11

c)

22

d)

(11√2)/2

127.

Find x.

a)

4√3

b)

4√6

c)

4

d)

4√8

128.

Find the value of x.

a)

3√2

b)

3

c)

6√2

d)

6

129.

Is this a 45-45-90 triangle?

a)

Yes

b)

No

c)

No clue

130.

Is this a 45-45-90 triangle?

a)

Yes

b)

No

c)

No clue

131.

Is this a 45-45-90 triangle?

a)

Yes

b)

No

c)

No clue

132.

If you are given the LEG of a 45-45-90 triangle, how do you find the HYPOTENUSE?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √2

d)

Divide by √2

133.

If you are given the HYPOTENUSE of a 45-45-90 triangle, how do you find the LEG?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √2

d)

Divide by √2

134.

If you are given the LEG of a 45-45-90 triangle, how do you find the OTHER LEG?

a)

Multiply by √2

b)

Divide by √2

c)

They're congruent

135.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
136.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
137.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
138.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
139.

What is the value of x?

a)

2

b)

18

c)

2√9

d)


182\frac{18}{\sqrt{2}}

140.
Find the missing side lengths.
a)
a = 4, b = 4
b)
a = 4, b = 2√2
c)
a = 2√2,  b = 4
d)
a = 4, b = 4
141.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

142.
If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.
a)
7√2
b)
49√2
c)
7
d)
7√7
143.
If the equal sides of an isosceles right triangle measure 12 units, then the measure of the hypotenuse is _____ units.
a)
12√2
b)
2√12
c)
144
d)
144√2
144.

Find a.

a)

4

b)

2

c)

4√2

d)

2√4

145.

Solve for a and b in the special right triangle.

a)

a = 5, b = 5

b)

a = 10, b = 10√2

c)

a = 10√2, b = 10√2

d)

a = 10/√2, b = 10/√2

146.
A square has a perimeter of 32 inches.  What is the length of the diagonal?
a)
16
b)
4√2 in
c)
32√2 in
d)
8√2 in
147.
Sam's square bedroom has a diagonal of 9√2 feet.  What is the length of each side?
a)
18
b)
3√2
c)
9
d)
12.7
148.

Wear dark clothing to make yourself harder to spot

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
149.

"Tighten your tactical vest to make yourself harder to hit"

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
150.

"Study the battlefield layout ahead of time to get an upper hand"

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
151.

"Make a strategy plan with your team before you deploy"

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
152.

"Take a moment to let your eyes adjust to the dark"

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
153.

"Walk sideways to make yourself a slimmer target"

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
154.

"Keep moving instead of staying in one place for too long"

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
155.

"Prioritize the easy targets to get your score up"

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
156.

"Pull the trigger constantly to improve your chances of hitting someone."

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
157.

"Stay low behind cover to reduce your vulnerability"

Rank the aforementioned laser tag strategy by tier by choosing S, A, B, or C.

Type your selection below

4 lines
158.
Which has the same absolute value as -55?
a)
0
b)
-1
c)
1
d)
55
159.
Is absolute value always positive?
a)
yes
b)
no
160.
|-20|
a)
20
b)
-20
161.
Which statement is true?
a)
The absolute value of 3 is -3
b)
The opposite of 7 is 7
c)
The absolute value of 5 is equal to the opposite of 5
d)
The opposite of -4 is equal to the absolute value of -4
162.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
163.
Sam's square bedroom has a diagonal of 9√2 feet.  What is the length of each side?
a)
18
b)
3√2
c)
9
d)
12.7
164.
A square has a perimeter of 32 inches.  What is the length of the diagonal?
a)
16
b)
4√2 in
c)
32√2 in
d)
8√2 in
165.

Solve for a and b in the special right triangle.

a)

a = 5, b = 5

b)

a = 10, b = 10√2

c)

a = 10√2, b = 10√2

d)

a = 10/√2, b = 10/√2

166.

Find a.

a)

4

b)

2

c)

4√2

d)

2√4

167.
If the equal sides of an isosceles right triangle measure 12 units, then the measure of the hypotenuse is _____ units.
a)
12√2
b)
2√12
c)
144
d)
144√2
168.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

169.
Find the missing side lengths.
a)
a = 4, b = 4
b)
a = 4, b = 2√2
c)
a = 2√2,  b = 4
d)
a = 4, b = 4
170.

What is the value of x?

a)

2

b)

18

c)

2√9

d)


182\frac{18}{\sqrt{2}}

171.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
172.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
173.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
174.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
175.
Compare |-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
176.
The absolute value of -3 is the distance between:
a)
3 and -3 on the number line
b)
-3 and 0 on the number line
c)
1 and 3 on the number line
d)
1 and -3 on the number line
177.
Select the true statement
a)
|-220| = -220 and 220
b)
-|220|=  220
c)
|-220|= 220
d)
|-220|= -220
178.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

179.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

180.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

181.

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

a)

-18, -13, -7, |5|, |-14|

b)

-18, |-14|, -13, -7, |5|

c)

-7, -13, |-14|, -18, |5|

d)

|5|, -7, -13, |-14|, -18

182.

An ordered pair is also called

a)

Origin

b)

Coordinate

c)

Cartesian Plane

d)

Quadrant

183.

The horizontal line (or horizontal axis) is called the...

a)

x-axis

b)

y-axis

c)

origin

d)

quadrant

184.

The vertical line (or vertical axis) is called the...

a)

quadrant

b)

coordinate

c)

y-axis

d)

x-axis

185.

Point C is in quadrant...

a)

1

b)

2

c)

3

d)

4

186.

Point B is in quadrant...

a)

1

b)

2

c)

3

d)

4

187.

Which among these mathematicians was the Cartesian Plane named after?

a)

Euclid

b)

Pythagoras

c)

Rene Descartes

d)

Blaise Pascal

188.

For the coordinates of the point in quadrant IV, the x value and y value are always _____ and ______, respectively.

a)

negative, positive

b)

negative, negative

c)

positive, negative

d)

positive, positive

189.

In the quadrant l, the values of x and y are always ____, and _____, respectively.

a)

positive, positive

b)

positive, negative

c)

Negative, negative

d)

Negative, positive

190.

Point (−7, −5) is located in which quadrant?

a)

I

b)

II

c)

III

d)

IV

191.

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the HYPOTENUSE?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √3

d)

Divide by √3

192.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
193.

Which of the following is not a Pythagorean Identity?

a)

cot⁡2x+1=csc⁡2x\cot^2x+1=\csc^2x

b)

cot⁡2x−csc⁡2x=−1\cot^2x-\csc^2x=-1

c)

csc⁡2x+1=cot⁡2x\csc^2x+1=\cot^2x

d)

csc⁡2x−cot⁡2x=1\csc^2x-\cot^2x=1

194.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
195.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

196.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
197.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
198.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
199.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
200.

Which trigonometric ratio you should use to find the height(h)?

a)

sin⁡ 60°=h1000\sin\ 60\degree=\frac{h}{1000}

b)

cos⁡ 60°=h1000\cos\ 60\degree=\frac{h}{1000}

c)

cos⁡ 60°=1000h\cos\ 60\degree=\frac{1000}{h}

d)

tan⁡ 60°=h1000\tan\ 60\degree=\frac{h}{1000}

201.

Find the missing value.

Round to the nearest tenths.

a)

33.9 mm

b)

3.4 mm

c)

10.5 mm

d)

36.2 mm

202.

Find the missing value.

Round to the nearest tenths.

a)

36.6 in

b)

43.7 in

c)

47.8 in

d)

37.4 in

203.

Find the missing value.

Round to the nearest tenths.

a)

23.6 miles

b)

4.6 miles

c)

.9 miles

d)

20.7 miles

204.

Find the missing value.

Round to the nearest tenths.

a)

5.9 lightyears

b)

5.0 lightyears

c)

7.1 lightyears

d)

7.5 lightyears

205.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
206.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
207.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

208.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
209.

What is trigonometry?

a)

The study of triangles.

b)

The study of squares.

c)

The study of pentagons.

d)

The study of heptagons.

210.

What is the sine ratio?

a)

oppositehypotenuse\frac{opposite}{hypotenuse}

b)

adjacent hypotenuse\frac{adjacent\ }{hypotenuse}

c)

opposite adjacent\frac{opposite\ }{adjacent}

d)

hypotenuseopposite\frac{hypotenuse}{opposite}

211.

What is the tangent ratio?

a)

oppositehypotenuse\frac{opposite}{hypotenuse}  

b)

adjacent hypotenuse\frac{adjacent\ }{hypotenuse}

c)

opposite adjacent\frac{opposite\ }{adjacent}

d)

adjacentopposite\frac{adjacent}{opposite}

212.

What is the helpful phrase we can use to remember the trigonometric ratios/functions?

a)

SOH CAH TOA

b)

SAH COH TOA

c)

SOA COH TAH

d)

SOA CAH TOH

213.

What is  sin⁡(A)\sin\left(A\right)  ?

a)

810\frac{8}{10}  

b)

610\frac{6}{10}  

c)

68\frac{6}{8}  

d)

86\frac{8}{6}  

214.

What is  tan⁡(C)\tan\left(C\right)  ?


a)

68\frac{6}{8}  

b)

86\frac{8}{6}  

c)

610\frac{6}{10}  

d)

810\frac{8}{10}  

215.

FILL IN THE BLANK:
The _______ ratio is  adjacenthypotenuse\frac{adjacent}{hypotenuse}


a)

Sine

b)

Cosine

c)

Tangent

216.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
217.

Find the missing value.

Round to the nearest tenths.

a)

33.9 mm

b)

3.4 mm

c)

10.5 mm

d)

36.2 mm

218.

Find the missing value.

Round to the nearest tenths.

a)

36.6 in

b)

43.7 in

c)

47.8 in

d)

37.4 in

219.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
220.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
221.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
222.

Find the measure of the angle, rounded to the nearest tenth.

a)

46.2°

b)

43.8°

c)

35.8°

d)

60°

223.

Find the measure of the angle, rounded to the nearest tenth.

a)

41.1°

b)

48.9°

c)

60.7°

d)

60°

224.

What's the sin of angle A

a)

35\frac{3}{5}

b)

45\frac{4}{5}

c)

34\frac{3}{4}

d)

53\frac{5}{3}

e)

54\frac{5}{4}

225.

What's the cos of angle A

a)

35\frac{3}{5}

b)

45\frac{4}{5}

c)

34\frac{3}{4}

d)

53\frac{5}{3}

e)

54\frac{5}{4}

226.

What's the tan of angle A

a)

35\frac{3}{5}

b)

45\frac{4}{5}

c)

34\frac{3}{4}

d)

53\frac{5}{3}

e)

54\frac{5}{4}

227.

What's the csc of angle A

a)

35\frac{3}{5}

b)

45\frac{4}{5}

c)

34\frac{3}{4}

d)

53\frac{5}{3}

e)

54\frac{5}{4}

228.

What's the sec of angle A

a)

35\frac{3}{5}

b)

45\frac{4}{5}

c)

34\frac{3}{4}

d)

53\frac{5}{3}

e)

54\frac{5}{4}

229.

Given a sec (A) of 33 , what's the cos (A)?

(a)  

230.

Given a tan(A) of 2, what's the cot(A)

(a)  

231.

Given a cot(A) of 34\frac{3}{4} , what's the sin(A)?

(a)  

232.

Given a cot(A) of 34\frac{3}{4} , what's the cos(A)?

(a)  

233.

Given a cot(A) of 34\frac{3}{4} , what's the tan(A)?

(a)  

234.

Given a cot(A) of 34\frac{3}{4} , what's the csc(A)?

(a)  

235.

Given a cot(A) of 34\frac{3}{4} , what's the sec(A)?

(a)  

236.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
237.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
238.
If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?
a)
sine
b)
cosine
c)
tangent
d)
You can only use trig functions on right triangles.
239.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
240.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
241.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
242.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
243.
Which one is one of the easy ways to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
244.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
245.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
246.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
247.
Which trigonometric ratio is correct?
a)
sinA= opp/adj
b)
cosA= opp/hyp
c)
tanA= opp/adj
d)
sinA= adj/opp
248.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
249.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
250.
If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?
a)
sine
b)
cosine
c)
tangent
d)
You can only use trig functions on right triangles.
251.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
252.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
253.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
254.
The ratio in a right triangle of adjacent to hypotenuse is _____
a)
sine
b)
cosine
c)
tangent
d)
inverse cosine
255.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

256.
Secant is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
257.
Cotangent is the reciprocal of what function?
a)
Cosecant
b)
Sine
c)
Cosine
d)
Tangent
258.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
259.
Solve for x.
a)
10
b)
11.3
c)
12.0
d)
15.0
260.

Find the missing angle. Round answers to the nearest whole degree.

a)

50°50\degree  

b)

40°40\degree  

c)

1°1\degree  

d)

33°33\degree  

261.

Find the missing angle. Round answers to the nearest whole degree.

a)

64°64\degree

b)

35°35\degree

c)

51°51\degree

d)

63°63\degree

262.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
263.

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

a)

10 feet

b)

7.5 feet

c)

8.3 feet

d)

3.8 feet

264.
A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun. 
a)
34 degrees
b)
56 degrees
c)
72 degrees
d)
15 degrees
265.
Find secΘ.
a)
17/15
b)
15/17
c)
8/17
d)
17/8
266.
Find cotΘ.
a)
3/4
b)
4/3
c)
5/4
d)
5/3
267.
Find cscΘ.
a)
15/17
b)
17/15
c)
8/17
d)
17/8

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