Deck 8: Real Numbers and Introduction to Algebra

Question 1

Insertnsert $< , > \text {, or } =$ to to make the statement true.

-6 _____ 3

A)=
B)<
C)>

Answer 1

>

Question 2

Is the following statement true or false?
9 > 6

Answer 2

False

Question 3

Insertnsert $< , > \text {, or } =$ to to make the statement true.

-7 _____ 0

A)<
B)>
C)=

Answer 3

>

Question 4

Is the following statement true or false?

--6 $\leq$ 112

Question 5

Write an inequality statement using the numbers in the problem.

-As part of a fund raiser, Maria sold 269 candy bars. Drew sold 165 candy bars. Write an inequality statement usinusing $\leq \text { or } \geq$ comparing the numbers comparing the numbers269 and 165.

A)269 $\geq$ 165
B)269 $\leq$ 16165

Question 6

Is the following statement true or false?

-22 $\leq$ 16

Question 7

Is the following statement true or false?
-5 < 0

Question 8

Insertnsert $< , > \text {, or } =$ to to make the statement true.

- _____

A)>
B)=
C)<

Question 9

Insertnsert $< , > \text {, or } =$ to to make the statement true.

--5.8 ____ 3.4

A)<
B)=
C)>

Question 10

Insertnsert $< , > \text {, or } =$ to to make the statement true.

--66 _____ 22

A)=
B)>
C)<

Question 11

Insertnsert $< , > \text {, or } =$ to to make the statement true.

-0 _____ 8

A)=
B)>
C)<

Question 12

Is the following statement true or false?

-16 $\geq$ 8

Question 13

Write an inequality statement using the numbers in the problem.

-At Relax Resort, the Beginner's Trail is 4 kilometers long. The Advanced Trail is 16 kilometers long. Write an inequality statement usingnt using $\leq \text { or } \geq$ comparing the numbers comparing the numbers4 and 16.

A)4 $\leq$ 116
B)4 $\geq$ 16

Question 14

Insertnsert $< , > \text {, or } =$ to to make the statement true.

--36 _____ -88

A)=
B)<
C)>

Question 15

Insertnsert $< , > \text {, or } =$ to to make the statement true.

--3 _____ 0

A)>
B)=
C)<

Question 16

Insertnsert $< , > \text {, or } =$ to to make the statement true.

-0 _____ -8

A)=
B)>
C)<

Question 17

Write an inequality statement using the numbers in the problem.
Building A is 59 feet tall. Building B is 102 feet tall. Write an inequality statement using < or > comparing the numbers 59 and 102.

A)59 < 102
B)59 > 102

Question 18

Is the following statement true or false?
17 < -13

Question 19

Write an inequality statement using the numbers in the problem.
On Tuesday, the temperature was 62° Fahrenheit. On Thursday, the temperature was 44° Fahrenheit. Write an inequality statement using < or > comparing the numbers 62 and 44.

A)62 > 44
B)62 < 44

Question 20

Is the following statement true or false?
3 > 9

Question 21

Rewrite the statement so the inequality symbol points in the opposite direction and the new statement has the same
meaning as the original.

-3 < 9

A)3 $\leq$ 9
B)9 < 3
C)3 > 9
D)9 > 3

Question 22

Rewrite the statement so the inequality symbol points in the opposite direction and the new statement has the same
meaning as the original.
2 < 27

A)2 > 27
B)27 < 2
C)27 > 2
D)27 ≥2

Question 23

Rewrite the statement so the inequality symbol points in the opposite direction and the new statement has the same
meaning as the original.

- $- 13 \leq 18$

A)-13 $\geq$ 118
B)18 $\geq$ -13
C)-13 < 18
D)18 $\leq$ -13

Question 24

Write the sentence as a mathematical statement.

-Fourteen is not equal to thirty-eight.

A)14 $\neq$ 38
B)14 $\geq$ 38
C)14 = 38
D)14 $\leq$ 38

Question 25

Is the following statement true or false?
3.7 < 5.3

Question 26

Write the sentence as a mathematical statement.

-Sixty-six is not equal to negative sixty-six.

A)66 $\geq$ -66
B)66 $\neq$ -66
C)66 = -66
D)66 $\leq$ -66

Question 27

Is the following statement true or false?

- $\frac { 15 } { 16 } > \frac { 2 } { 11 }$

Question 28

Write the sentence as a mathematical statement.

-Negative thirty-four is less than negative twelve.

A)-34 < 12
B)-34 < -12
C)-34 > -12
D)-34 $\leq$ -12

Question 29

Write the sentence as a mathematical statement.

-Ten is less than or equal to fifteen.

A)10 $\neq$ 115
B)10 < 15
C)10 $\leq$ 15
D)10 $\geq$ 15

Question 30

Rewrite the statement so the inequality symbol points in the opposite direction and the new statement has the same
meaning as the original.

-9 $\leq$ 39

A)39 > 9
B)39 $\geq$ 9
C)9 $\geq$ 39
D)39 $\leq$ 9

Question 31

Represent the quantity by an integer.
44° below zero

A)44
B)-44

Question 32

Is the following statement true or false?

--23 $\geq$ 24

Question 33

Write the sentence as a mathematical statement.

-Eight is greater than or equal to two.

A)8 $\geq$ 2
B)8 = 2
C)8 > 2
D)8 $\leq$ 2

Question 34

Rewrite the statement so the inequality symbol points in the opposite direction and the new statement has the same
meaning as the original.
45 > 10

A)10 > 45
B)45 ≥10
C)45 < 10
D)10 < 45

Question 35

Represent the quantity by an integer.
$108 loss

A)108
B)-108

Question 36

Represent the quantity by an integer.
256 feet below sea level

A)-256
B)256

Question 37

Write the sentence as a mathematical statement.

-Twenty-two is greater than or equal to twenty-two.

A)22 = 22
B)22 $\geq$ 22
C)22 < 22
D)22 > 22

Question 38

Write the sentence as a mathematical statement.

-Twelve is greater than six.

A)12 $\geq$ 6
B)12 = 6
C)12 > 6
D)12 < 6

Question 39

Rewrite the statement so the inequality symbol points in the opposite direction and the new statement has the same
meaning as the original.

-15 $\geq$ 2

A)2 $\geq$ 115
B)2 $\leq$ 115
C)15 > 2
D)15 $\leq$ 2

Question 40

Write the sentence as a mathematical statement.

-Negative thirteen is equal to negative thirteen.

A)-13 $\neq$ -13
B)-13 $\leq$ -13
C)-13 = -13
D)-13 $\geq$ -13

Question 41

Graph each set of numbers on the number line.
-9, -7, -5, -3

A)
B)
C)
D)

Question 42

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
0

A)integers, real
B)whole, real
C)rational, real
D)whole, integers, rational, real

Question 43

Represent the quantity by an integer.
losing 39 cents

A)-39
B)39

Question 44

Represent the quantity by an integer.
34-pound loss

A)-34
B)34

Question 45

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-87

A)whole, real
B)irrational, real
C)real
D)integers, rational, real

Question 46

Graph each set of numbers on the number line.
-3, -1, 1, 3

A)
B)
C)
D)

Question 47

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
26

A)whole, rational, real
B)integers, rational, real
C)real
D)natural, whole, integers, rational, real

Question 48

Graph each set of numbers on the number line.
-1.75, 1, 3, 5.25

A)
B)
C)
D)

Question 49

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.

- $\sqrt { 5 }$

A)irrational, real
B)whole, real
C)integers, real
D)rational, real

Question 50

Represent the quantity by an integer.
$1460 out of debt

A)-1460
B)1460

Question 51

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
5.94

A)rational
B)rational, real
C)real
D)natural, rational, real

Question 52

Graph each set of numbers on the number line.

- $\frac { 13 } { 4 } , - \frac { 13 } { 4 }$

A)
B)
C)
D)

Question 53

Graph each set of numbers on the number line.

- $- 4 \frac { 2 } { 3 } , - 2,0,2 \frac { 2 } { 3 }$

A)
B)
C)
D)

Question 54

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
0.7373...

A)irrational, real
B)natural, rational, real
C)real
D)rational, real

Question 55

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.

- $\frac { 7 } { 15 }$

A)rational, real
B)real
C)whole, real
D)irrational, real

Question 56

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.

- $- \sqrt { 19 }$

A)irrational, real
B)rational, real
C)whole, real
D)integers, real

Question 57

Represent the quantity by an integer.
a deduction of $375.19 in your checkbook

A)375.19
B)-375.19

Question 58

Represent the quantity by an integer.
a decrease of 191 feet in elevation

A)191
B)-191

Question 59

Represent the quantity by an integer.
The team scored 23 points.

A)-23
B)23

Question 60

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.

- $- \frac { 2 } { 17 }$

A)real
B)rational, real
C)integers, real
D)irrational, real

Question 61

Find the absolute value.

- $| 0 |$

A)0
B)does not exist

Question 62

Tell whether the statement is true or false.
Every rational number is an integer.

Question 63

Find the absolute value.

- $| - 3.6 |$

A)3.6
B)0
C)-3.6
D)7.2

Question 64

Insertnsert $< , > \text {, or } =$ to to make the statement true.

- $\left| \frac { 7 } { 9 } \right| \left| - \frac { 7 } { 9 } \right|$

A)>
B)<
C)=

Question 65

Insertnsert $< , > , \text { or } =$ to to make the statement true.

- $| - 10 |$ ______ $| 10 |$

A)>
B)<
C)=

Question 66

Tell whether the statement is true or false.
Every integer is an irrational number.

Question 67

Find the absolute value.

- $\text { | } 15.6 \text { | }$

A)-15.6
B)31.2
C)0
D)15.6

Question 68

Tell whether the statement is true or false.
Every whole number is a real number.

Question 69

Find the absolute value.

- $\mid - 23$

A)0
B)46
C)-23
D)23

Question 70

Tell whether the statement is true or false.
Some real numbers are integers.

Question 71

Find the absolute value.

- $\left| \frac { 1 } { 17 } \right|$

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

Question 72

Insertnsert $< , > \text {, or } =$ to to make the statement true.

- $| - 20 |$ ____ $- 19$

A)<
B)=
C)>

Question 73

Tell whether the statement is true or false.
Some rational numbers are irrational.

Question 74

Insertnsert $< , > \text {, or } =$ to to make the statement true.

- $| - 9.8 |$ _____ $| - 9 |$

A)<
B)>
C)=

Question 75

Insertnsert $< , > , \text { or } =$ to to make the statement true.

- $| - 9 |$ _____ $| 4 |$

A)=
B)<
C)>

Question 76

Tell whether the statement is true or false.
Every irrational number is an integer.

Question 77

Find the absolute value.

- $\left| - \frac { 1 } { 5 } \right|$

A) $\frac { 1 } { 5 }$
B)5
C) $- \frac { 1 } { 5 }$
D) $\frac { 1 } { 10 }$

Question 78

Insertnsert $< , > , \text { or } =$ to to make the statement true.

- $| - 10 |$ ______ $| 0 |$

A)>
B)=
C)<

Question 79

Find the absolute value.

- $| 25 |$

A)50
B)25
C)0
D)-25

Question 80

Tell whether the statement is true or false.
Some rational numbers are integers.