Deck 1: Real Numbers and Variables

Question 1

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
$$\sqrt { 5 }$$

A)Real
B)Real, irrational, integer
C)Real, irrational
D)Real, rational

Answer 1

C

Question 2

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
The team gave up 17 points.

A)+17
B)-17

Answer 2

B

Question 3

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
71

A)Real, rational, integer
B)Real
C)Real, rational, whole
D)Real, rational, integer, whole

Answer 3

D

Question 4

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
6)76

A)Rational
B)Whole, rational, real
C)Rational, real
D)Real, irrational

Question 5

Find the additive inverse (opposite).
23 A) $\frac { 1 } { 23 }$
B) 23
C) 0
D) $- 23$

Question 6

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
The little girl was upset at losing 42 cents.

A)+42
B)-42

Question 7

Find the additive inverse (opposite).
-22 A) 22
B) $- \frac { 1 } { 22 }$
C) 0
D) $- 22$

Question 8

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
0)68140...... [nonrepeating, nonterminating]

A)Real, irrational, integer
B)Real, irrational
C)Real, rational
D)Real

Question 9

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
After a year at Weight Watchers, Simone had lost 12 pounds.

A)-12
B)+12

Question 10

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
The thermometer read 38° below zero.

A)-38
B)+38

Question 11

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
The stock experienced a $324 profit.

A)+324
B)-324

Question 12

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
Roseanne lost $838.93 on the stock market.

A)+838.93
B)-838.93

Question 13

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
$$- \frac { 3 } { 7 }$$

A)Real, whole
B)Real, rational
C)Real, irrational
D)Real, rational, integer

Question 14

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
-98

A)Real, rational, integer, whole
B)Real, rational
C)Real, rational, integer
D)Real, irrational

Question 15

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
Joey grew $1 \frac { 3 } { 4 }$ inches in the span of two years.

A) $- 1 \frac { 3 } { 4 }$
B) $+ 1 \frac { 3 } { 4 }$

Question 16

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
$$\frac { 7 } { 16 }$$

A)Real, rational, integer
B)Real, whole
C)Real, irrational
D)Real, rational

Question 17

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
0

A)Real, rational, integer, whole
B)Real, whole
C)Real, rational, integer
D)Real, rational

Question 18

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
They hiked 121 feet below sea level.

A)-121
B)+121

Question 19

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
$$- \sqrt { 12 }$$

A)Real, integer
B)Real, rational
C)Real, whole
D)Real, irrational

Question 20

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
0)110110...

A)Whole, rational, real
B)Real
C)Rational, real
D)Irrational, real

Question 21

Add.
$$\frac { 3 } { 4 } + \left( - \frac { 5 } { 8 } \right)$$

A) $- \frac { 11 } { 8 }$
B) $\frac { 1 } { 8 }$
C) $- \frac { 1 } { 8 }$
D) $\frac { 11 } { 8 }$

Question 22

Add.
-19 + 10

A)-29
B)-9
C)9
D)29

Question 23

Add.
-13 + (-16)

A)29
B)3
C)-3
D)-29

Question 24

Add.
$$- \left( \frac { 3 } { 4 } + \frac { 3 } { 20 } \right)$$

A) $- \frac { 9 } { 10 }$
B) $- \frac { 1 } { 4 }$
$C ) - \frac { 73 } { 80 }$
D) $- \frac { 3 } { 10 }$

Question 25

Add.
-17.4 + (-15.2)

A)2)2
B)-2.2
C)32.6
D)-32.6

Question 26

Add.
-2.2 + (-16.3)

A)-18.5
B)14.1
C)18.5
D)-14.1

Question 27

Find the absolute value
$| - 16.0 |$

A) 32
B) $16.0$
C) $- 16.0$
D) 0

Question 28

Find the additive inverse (opposite).
$- 3.4$

A) $- \frac { 1 } { 3.4 }$
B) $- 3.4$
C) $3.4$
D) $\frac { 1 } { 3.4 }$

Question 29

Add.
$- \frac { 5 } { 17 } + \left( - \frac { 4 } { 17 } \right)$

A) $- \frac { 9 } { 34 }$
B) $\frac { 1 } { 17 }$
C) $\frac { 9 } { 17 }$
D) $- \frac { 9 } { 17 }$

Question 30

Add.
40 + 24

A)16
B)65
C)63
D)64

Question 31

Find the absolute value
$$- \frac { 10 } { 17 } \mid$$

A) 0
B) $\frac { 20 } { 17 }$
C) $- \frac { 10 } { 17 }$
D) $\frac { 10 } { 17 }$

Question 32

Find the additive inverse (opposite).
$\frac { 9 } { 2 }$

A) $- \frac { 2 } { 9 }$
B) $\frac { 2 } { 9 }$
C) $- \frac { 9 } { 2 }$
D) $\frac { 9 } { 2 }$

Question 33

Find the absolute value
| 20 |

A) 0
B) 20
C) $- 20$
D) 40

Question 34

Find the absolute value
$| - 18 |$

A) $- 18$
B) 36
C) 0
D) 18

Question 35

Add.
- 5.36 + (- 13.4)

A)-18.76
B)-18.4
C)-8.04
D)8)04

Question 36

Find the absolute value
$| - 0.012 |$

A) $- 0.012$
B) 0
C) $0.012$
D) $0.024$

Question 37

Add.
2 + (-12)

A)10
B)14
C)-10
D)-14

Question 38

Find the additive inverse (opposite).
$5.3$

A) $- \frac { 1 } { 5.3 }$
B) $5.3$
C) $\frac { 1 } { 5.3 }$
D) $- 5.3$

Question 39

Find the additive inverse (opposite).
$- \frac { 3 } { 8 }$

A) $- \frac { 8 } { 3 }$
B) $- \frac { 3 } { 8 }$
C) $\frac { 3 } { 8 }$
D) $\frac { 8 } { 3 }$

Question 40

Find the absolute value
$\frac { 1 } { 2 } \mid$

A) 1
B) 0
C) $\frac { 1 } { 2 }$
D) $- \frac { 1 } { 2 }$

Question 41

Solve the problem.
A deep-sea diver dives from the surface to 80 feet below the surface. She then dives down 16 more feet. Find the diver's depth.

A)62 feet below the surface
B)99 feet below the surface
C)96 feet below the surface
D)64 feet below the surface

Question 42

Subtract.
1 - 3

A)-4
B)4
C)2
D)-2

Question 43

Subtract.
13 - (-2)

A)-15
B)-11
C)11
D)15

Question 44

Solve the problem.
Lauren scored 13 points in her basketball game on Monday, 11 on Wednesday, 14 on Friday, and 19 on Saturday. Find her total points scored for the week.

A)57 points
B)56 points
C)58 points
D)38 points

Question 45

Solve the problem.
In a card game, it is possible to have a negative score. If Ellie's score is 22, what is her new score if she loses 27 points?

A)49 points
B)-49 points
C)5 points
D)-5 points

Question 46

Subtract.
-13 - (-5)

A)8
B)-18
C)-8
D)18

Question 47

Subtract.
-7 - 8

A)-1
B)15
C)1
D)-15

Question 48

Add.
$$- \frac { 3 } { 8 } + \frac { 7 } { 9 }$$

A) $\frac { 4 } { 9 }$
B) $\frac { 29 } { 72 }$
C) $\frac { 1 } { 18 }$
D) $\frac { 29 } { 9 }$

Question 49

Solve the problem.
The temperature on a December morning is -7° F at 3a.m. If the temperature drops 3° by 4 a.m., rises 8° by 5 a.m., and then drops 7° by 6a.m., find the temperature at 6 a.m.

A)-25° F
B)-9° F
C)9° F
D)25° F

Question 50

Add.
8.29 + 12.48 + (- 7.5)

A)-3.31
B)28.27
C)13.27
D)-11.69

Question 51

Solve the problem.
On part of a scenic tour of underground caves, Dave and Neil started at an elevation of 41 feet below sea level. They then rose 22 feet. Represent their distance below sea level as a signed integer.

A)63 feet
B)-19 feet
C)-63 feet
D)19 feet

Question 52

Add.
$\frac { 6 } { 7 } + \left( - \frac { 1 } { 3 } \right)$

A) $\frac { 11 } { 21 }$
B) $\frac { 11 } { 7 }$
C) $\frac { 5 } { 7 }$
D) $\frac { 5 } { 21 }$

Question 53

Solve the problem.
The population of a particular species of insect was 10,000 in 1960. In 1980, there were 600 fewer, and this year, there are 3800 fewer. What is the current population?

A)6800 insects
B)14,400 insects
C)13,200 insects
D)5600 insects

Question 54

Add.
-1.2 + 0.2 + (-0.8)+ 0.1

A)0)7
B)-1.7
C)2)5
D)-0.1

Question 55

Add.
12 + (-22)+ 4 + (-2)

A)-8
B)-12
C)40
D)-16

Question 56

Subtract.
-13 - 13

A)0
B)-13
C)26
D)-26

Question 57

Solve the problem.
Jared borrowed $223 from his friend Linda. He paid her back $25, but then had to borrow another $78. How much does he still owe her?

A)$170
B)$276
C)$326
D)$120

Question 58

Solve the problem.
The Neighborhood Lemonade Stand, Inc. reported net incomes of -$250, -$427, and -$117 for the past three years. What was its total net income for these three years?

A)-$794
B)-$677
C)-$544
D)$794

Question 59

Solve the problem.
At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -16° C. At the end of the experiment, it had risen 33° C. What was the liquid's temperature at the end of the experiment?

A)49° C
B)-49° C
C)-17° C
D)17° C

Question 60

Solve the problem.
A deep-sea diver dives from the surface to 197 meters below the surface and then swims up 7 meters, down 17 meters, down another 28 meters, and then up 25 meters. Find the diver's depth after these movements.

A)210 meters below the surface
B)224 meters below the surface
C)120 meters below the surface
D)154 meters below the surface

Question 61

Subtract.
Subtract -2 from 1.

A)-1
B)3
C)-3
D)1

Question 62

Subtract.
Subtract -5 from -27.

A)32
B)22
C)-32
D)-22

Question 63

Subtract.
33 - 55

A)-88
B)22
C)-22
D)88

Question 64

Subtract.
-15 - (-98)

A)83
B)-83
C)113
D)-113

Question 65

Subtract.
-8.8 - (-2.6)

A)-11.4
B)-6.2
C)11.4
D)6)2

Question 66

Subtract.
(0.80)- (-0.80)

A)0)1
B)0
C)1)6
D)-0.64

Question 67

Subtract.
16 - (-16)

A)-32
B)16
C)0
D)32

Question 68

Subtract.
$\frac { 1 } { 7 } - \left( \frac { 8 } { 63 } \right)$

A) $- \frac { 1 } { 63 }$
B) $-$
C) $-$
D)ــــ

Question 69

Subtract.
$- \frac { 3 } { 5 } - \left( \frac { 1 } { 5 } \right)$

A) $- \frac { 4 } { 5 }$
B) $\frac { 4 } { 5 }$
C) $\frac { 2 } { 5 }$
D) $- \frac { 2 } { 25 }$

Question 70

Subtract.
0 - (-18)

A)0
B)36
C)-18
D)18

Question 71

Combine the numbers.
12 + (-18)- (-1)- 7

A)-12
B)2
C)36
D)0

Question 72

Subtract.
-5 - (-5)

A)5
B)-5
C)0
D)1

Question 73

Subtract.
$\frac { 7 } { 8 } - ( - 2 )$

A) $\frac { 5 } { 8 }$
B) $\frac { 23 } { 8 }$
C) $\frac { 9 } { 8 }$
D) $- \frac { 9 } { 8 }$

Question 74

Subtract.
$8 - \left( - \frac { 5 } { 6 } \right)$

A) -
B) $\frac { 53 } { 6 }$
C) $\frac { 13 } { 6 }$
D) $\frac { 43 } { 6 }$

Question 75

Combine the numbers.
-14 + 5 + 1

A)-10
B)-20
C)-18
D)-8

Question 76

Combine the numbers.
6 + (-10)- (-17)

A)-13
B)-1
C)13
D)-21

Question 77

Combine the numbers.
-2 - (-17)+ (-5)

A)-24
B)-10
C)10
D)-14

Question 78

Combine the numbers.
20 - (-15)+ 15 + (-12)

A)32
B)-8
C)-32
D)38

Question 79

Subtract.
3.98 - 4.96

A)8)94
B)-0.98
C)-8.94
D)0)98

Question 80

Subtract.
$\frac { 5 } { 8 } - 8$

A) $- \frac { 3 } { 8 }$
B) $- \frac { 69 } { 8 }$
C) $\frac { 59 } { 8 }$
D) $- \frac { 59 } { 8 }$