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1.1-1.3 Pre-Calculus (Quiz Review)

Total questions: 110

Worksheet time: 9hrs 10mins

Name
Class
Date
1.
Which has the same absolute value as -55?
a)
0
b)
-1
c)
1
d)
55
2.
Is absolute value always positive?
a)
yes
b)
no
3.
|-20|
a)
20
b)
-20
4.
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
5.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
6.
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
7.
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.
8.
What is the absolute value of |-26|
a)
26
b)
-26
c)
-36
d)
36
9.
What is the absolute value of |-37|.
a)
0
b)
37
c)
-37
d)
30
10.
Compare |-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
11.
What is the absolute value of |572|.
a)
275
b)
-572
c)
57
d)
572
12.
The absolute value of 79 is 79.
a)
False 
b)
True
13.
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
14.
a)
|10| = 10
b)
|-10| = 10
c)
|-10| = -10
d)
-|10| = 10
15.
What is the absolute value of -1/5? 
a)
1/5
b)
-1/5
c)
0
16.
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
17.
Select the true statement
a)
|-220| = -220 and 220
b)
-|220|=  220
c)
|-220|= 220
d)
|-220|= -220
18.
Find the absolute value
a)
-43
b)
43
c)
-43 and 43
d)
1/43
19.

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

20.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

21.

Evaluate: |0|

a)

0

b)

-0

c)

+0

d)

There is no answer

22.

Compare: -2 and |-2|

a)

<

b)

>

c)

=

23.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

24.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

25.

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

26.

What is the opposite of -12

a)

12

b)

-12

c)

0

27.

What is the opposite of 23

a)

23

b)

-23

c)

2/3

d)

0

28.

What is the opposite of 0

a)

-0

b)

+0

c)

0

d)

There is no opposite

29.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

30.

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|

31.

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

32.

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|

33.

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|

34.

20 degree drop in temperature

a)

-20

b)

20

35.

Increase of $4 per hour

a)

$4 per hour

b)

-$4 per hour

36.

A withdrawal of $15

a)

$15

b)

-$15

37.

Descending 20 meters into the ocean

a)

20 meters

b)

-20 meters

38.

A $30 deposit to your bank account

a)

$30

b)

-$30

39.

An ordered pair is also called

a)

Origin

b)

Coordinate

c)

Cartesian Plane

d)

Quadrant

40.

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

a)

y,z

b)

y,x

c)

x,y

d)

x,y,z

41.

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

a)

x-axis

b)

y-axis

c)

origin

d)

quadrant

42.

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

a)

quadrant

b)

coordinate

c)

y-axis

d)

x-axis

43.

The Cartesian Plane is also called the...

a)

quadrant

b)

graphing

c)

coordinate plane

d)

small plane

44.

Point A is in quadrant...

a)

1

b)

2

c)

3

d)

4

45.

Point C is in quadrant...

a)

1

b)

2

c)

3

d)

4

46.

Point D is in quadrant...

a)

1

b)

2

c)

3

d)

4

47.

Point B is in quadrant...

a)

1

b)

2

c)

3

d)

4

48.

the origin's coordinates are...

a)

(1,2)

b)

(-3,-3)

c)

(1,1)

d)

(0,0)

49.

Which among these mathematicians was the Cartesian Plane named after?

a)

Euclid

b)

Pythagoras

c)

Rene Descartes

d)

Blaise Pascal

50.

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

51.

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

52.

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

a)

y-axis

b)

x-axis

c)

origin

d)

quadrant

53.

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

a)

fractions

b)

numbers

c)

labels

d)

ordered pair

54.

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

a)

I

b)

II

c)

III

d)

IV

55.

The coordinates for the origin in the coordinate plane are________?

a)

(0,1)

b)

(0,0)

c)

(1,1)

d)

(1,0)

56.

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

57.

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

58.

In which quadrant is point A located?

a)

I

b)

II

c)

III

d)

IV

59.

Where is point F located?

a)

(7,-5)

b)

(7,5)

c)

(-7,5)

d)

(-7,-5)

60.

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

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

61.

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)

62.

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

a)

4

b)

5

c)

-4

d)

-5

63.

Where is T?

a)

(3,2)

b)

(-3,2)

c)

(-2,-3)

d)

(-3, -2)

64.

Is this a 30-60-90 triangle?

a)

Yes

b)

No

c)

No clue

65.

Is this a 30-60-90 triangle?

a)

Yes

b)

No

c)

No clue

66.

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

67.

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

68.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
69.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
70.

Find x.

a)

22

b)

11311\sqrt{3}

c)

11211\sqrt{2}

d)

11

71.

Find a.

a)

12

b)

24

c)

24324\sqrt{3}

d)

16

72.

Find a.

a)

9

b)

939\sqrt{3}

c)

92\frac{9}{2}

d)

636\sqrt{3}

73.

Find y.

a)

6

b)

24

c)

12312\sqrt{3}

d)

636\sqrt{3}

74.
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
75.
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
76.
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
77.
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
78.

Find y.

a)

10

b)

3

c)

6

d)

5

79.

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

a)

11√2

b)

11

c)

22

d)

(11√2)/2

80.

Find x.

a)

4√3

b)

4√6

c)

4

d)

4√8

81.

Find the value of x.

a)

3√2

b)

3

c)

6√2

d)

6

82.

Is this a 45-45-90 triangle?

a)

Yes

b)

No

c)

No clue

83.

Is this a 45-45-90 triangle?

a)

Yes

b)

No

c)

No clue

84.

Is this a 45-45-90 triangle?

a)

Yes

b)

No

c)

No clue

85.

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

86.

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

87.

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

88.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
89.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
90.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
91.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
92.

What is the value of x?

a)

2

b)

18

c)

2√9

d)


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

93.
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
94.

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

a)

16

b)

8

c)

8√2

d)

√16

95.
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
96.
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
97.

Find a.

a)

4

b)

2

c)

4√2

d)

2√4

98.

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

99.
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
100.
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
101.

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
102.

"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
103.

"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
104.

"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.

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4 lines
105.

"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.

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4 lines
106.

"Walk sideways to make yourself a slimmer target"

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

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4 lines
107.

"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.

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4 lines
108.

"Prioritize the easy targets to get your score up"

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

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4 lines
109.

"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.

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4 lines
110.

"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

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