Deck 11: Introduction to Algebra

Question 1

Evaluate -|-56|.

A) 56
B) 1
C) -56
D) -1
E) 0

Answer 1

-56

Question 2

Place the correct symbol, <, =, or >, between the two numbers. |-2| ____ |3|

A) =
B) <
C) >

Answer 2

<

Question 3

Evaluate |-31|.

A) -31
B) 1
C) 31
D) -1
E) 0

Answer 3

31

Question 4

Find the absolute value of the number 20.

A) -20
B) 1
C) -1
D) 20
E) 0

Question 5

Graph the numbers on the number line. 2 and 4

A)
B)
C)
D)
E)

Question 6

Place the correct symbol, < or >, between the two numbers. 3 ___ -1

A) <
B) >

Question 7

Write the given numbers in order from smallest to largest. -1, -19, 12, 5, 0

A) 5, -1, -19, 12, 0
B) -19, 12, 5, 0, 12
C) 0, 12, 5, -19, -1
D) -19, -1, 0, 5, 12
E) -19, -1, 0, 12, 5

Question 8

State which number on the number line is in the location given below. 7 units to the left of -2

A) 9
B) -10
C) -9
D) 5
E) 10

Question 9

Place the correct symbol, <, =, or >, between the two numbers. |10| ____ |7|

A) =
B) >
C) <

Question 10

Place the correct symbol, < or >, between the two numbers. -29 ____ 18

A) <
B) >

Question 11

Evaluate $| - 21 |$ .

A) -21
B) 1
C) 0
D) -1
E) 21

Question 12

Place the correct symbol, <, =, or >, between the two numbers. |5| ____ |-3|

A) =
B) >
C) <

Question 13

Place the correct symbol, <, =, or >, between the two numbers. |18| ____ |18|

A) >
B) <
C) =

Question 14

State which number on the number line is in the location given below. 6 units to the right of -3

A) 9
B) -9
C) 3
D) 4
E) 2

Question 15

Find the opposite number of -30.

A) $- 30$
B) $30$
C) - $\frac { 1 } { 30 }$
D) $\frac { 1 } { 30 }$
E) $0$

Question 16

Place the correct symbol, < or >, between the two numbers. -1 ____ -3

A) <
B) >

Question 17

Write the given numbers in order from smallest to largest. 11, 6, -2, -15

A) -15, -2, 6, 11
B) -15, 11, 6, 11
C) 11, 6, -15, -2
D) 6, -2, -15, 11
E) -15, -2, 11, 6

Question 18

If G is 1 and H is 2, what number is D?

A) -2
B) -1
C) -3
D) 0
E) -9

Question 19

Find the opposite number of -2.

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

Question 20

Evaluate -|9|.

A) 9
B) -9
C) 0
D) -1
E) 1

Question 21

What is the difference between -25 and 4?

A) -20
B) 21
C) -29
D) 29
E) -22

Question 22

Subtract: -7 - (-21)

A) -15
B) 28
C) -28
D) 14
E) -29

Question 23

Subtract -26 from -2.

A) 28
B) -28
C) 24
D) -24
E) -25

Question 24

Subtract: 1 - (-21)

A) -19
B) -20
C) 20
D) 22
E) -22

Question 25

Add: 2 + (-10)

A) 9
B) -12
C) 12
D) -8
E) -9

Question 26

What is the total of 20, -9, 1, and -13?

A) -1
B) 25
C) -41
D) 43
E) 17

Question 27

Add: -15 + (-4)

A) -20
B) 19
C) -19
D) 11
E) -11

Question 28

Find the sum of -18, -10, and 2.

A) 6
B) -30
C) -26
D) -10
E) 10

Question 29

What is -13 more than -6?

A) -8
B) 7
C) -19
D) -20
E) -7

Question 30

Write the given numbers in order from smallest to largest. |-15|, |2|, -|9|, -3

A) -|9|, -3, |2|, |-15|
B) -|9|, |-15|, |2|, -3
C) -|9|, -3, |-15|, |2|
D) |-15|, -|9|, -3, |2|
E) -3, -|9|, |-15|, |2|

Question 31

What is -18 added to -1?

A) -18
B) 17
C) -19
D) -17
E) -20

Question 32

What is -26 decreased by 15?

A) 11
B) -11
C) -41
D) -40
E) -12

Question 33

Add: -17 + 10

A) -26
B) 27
C) 7
D) -7
E) -27

Question 34

Find -30 less than 8.

A) 38
B) 21
C) -37
D) 22
E) -38

Question 35

Subtract: -16 - 26

A) -11
B) -10
C) 9
D) -42
E) 10

Question 36

Add: -14 + (-4) + 3

A) -7
B) 21
C) -15
D) 13
E) -18

Question 37

Subtract: 8 - (-13) - 4

A) 25
B) -9
C) -25
D) 17
E) 9

Question 38

Subtract: 5 - (-20) - 4 - 9

A) 20
B) -28
C) 38
D) -38
E) 12

Question 39

Add: 9 + (-3) + 18 + (-13)

A) 11
B) 43
C) 17
D) -25
E) 37

Question 40

Subtract: 20 - 30

A) 49
B) 50
C) -10
D) 10
E) -50

Question 41

A patient begins a new diet plan and each month records any change in weight using integers. Calculate the total change in the patient's weight using these recorded amounts: -7 lb, -4 lb, 6 lb, -6 lb, and -5 lb.

A) 15 lb
B) -16 lb
C) -17 lb
D) 17 lb
E) 16 lb

Question 42

Multiply: 3(-2)(-3)

A) -2
B) 4
C) -9
D) 9
E) 18

Question 43

Multiply: (-17)(-21)

A) 357
B) -4
C) 38
D) -357
E) 4

Question 44

Multiply: -13 . (0)

A) 13
B) -7
C) -13
D) 7
E) 0

Question 45

Multiply: 5 $\text { . }$ (-30)

A) -25
B) -35
C) 25
D) 150
E) -150

Question 46

Multiply: -6 . 17

A) 23
B) 11
C) -23
D) -102
E) 102

Question 47

What is -99 divided by -9?

A) -108
B) -90
C) 11
D) 108
E) -11

Question 48

Multiply: (-12) $\text { . }$ (-21)

A) -33
B) -9
C) 9
D) -252
E) 252

Question 49

The elevation, or height, of places on Earth is measured in relation to sea level, or the average level of the ocean's surface. The table below shows heights above sea level as a positive number and depth below sea level as a negative number. Find the difference in elevation between Mt. Elbrus and the Caspian Sea. Continent
Highest elevation
(in meters)
Lowest elevation
(in meters)
Africa
Mt) Kilimanjaro
5895
Qattara Depression
-156
Asia
Mt) Everest
8850
Dead Sea
-411
Europe
Mt) Elbrus
5642
Caspian Sea
-28
America
Mt) Aconcagua
6960
Death Valley
-86

A) -5666 m
B) 5670 m
C) -5770 m
D) 5767 m
E) 5667 m

Question 50

Multiply: 5(4)(-4)(-5)

A) 80
B) 11
C) -80
D) -400
E) 400

Question 51

Divide: (-16) $\div$ (-4)

A) -20
B) 4
C) 20
D) 12
E) -12

Question 52

A patient's temperature was 103°F at noon. By 2 P.M., the patient's temperature had fallen 3°F (-3°) but at 5 P.M., it had risen 2° (+2°). What was the patient's temperature at 5 P.M.?

A) 107°F
B) 105°F
C) 95°F
D) 102°F
E) 93°F

Question 53

The daily low temperatures during one week were recorded as follows: 0 ${ } ^ { \circ } \mathrm { F }$ , -9 ${ } ^ { \circ } \mathrm { F }$ , 4 ${ } ^ { \circ } \mathrm { F }$ , -5 ${ } ^ { \circ } \mathrm { F }$ , -16 ${ } ^ { \circ } \mathrm { F }$ , -18 ${ } ^ { \circ } \mathrm { F }$ , -12 ${ } ^ { \circ } \mathrm { F }$ . Find the average daily low temperature for the week.

A) 3 ${ } ^ { \circ } \mathrm { F }$
B) 24 ${ } ^ { \circ } \mathrm { F }$
C) -8 ${ } ^ { \circ } \mathrm { F }$
D) -32 ${ } ^ { \circ } \mathrm { F }$
E) -11 ${ } ^ { \circ } \mathrm { F }$

Question 54

Find the temperature after a rise of 10 ${ } ^ { \circ } \mathrm { C }$ from -20 ${ } ^ { \circ } \mathrm { C }$ .

A) -10 ${ } ^ { \circ } \mathrm { C }$
B) -29 ${ } ^ { \circ } \mathrm { C }$
C) -31 ${ } ^ { \circ } \mathrm { C }$
D) 30 ${ } ^ { \circ } \mathrm { C }$
E) -30 ${ } ^ { \circ } \mathrm { C }$

Question 55

A patient's weight loss can be recorded using negative numbers. A patient's weight loss in May was recorded as -7 lb. In June, the same patient's weight loss was recorded as -5 lb and in July, the patient's weight loss was recorded as -6 lb. During which month was the weight loss the greatest?

A) May
B) July
C) April
D) June
E) March

Question 56

Divide: 0 $\div$ (-9)

A) 9
B) 8
C) $0$
D) -9
E) -6

Question 57

A temperature measurement from the Earth's stratosphere is taken as -72 ${ } ^ { \circ } \mathrm { F }$ . The temperature on the Earth's surface below is found to be 39 ${ } ^ { \circ } \mathrm { F }$ . Find the difference between the surface temperature reading and the stratosphere temperature reading.

A) -34 ${ } ^ { \circ } \mathrm { F }$
B) -33 ${ } ^ { \circ } \mathrm { F }$
C) 34 ${ } ^ { \circ } \mathrm { F }$
D) 111 ${ } ^ { \circ } \mathrm { F }$
E) 33 ${ } ^ { \circ } \mathrm { F }$

Question 58

Find the quotient of -20 and -4.

A) -24
B) -16
C) 5
D) 24
E) -5

Question 59

Multiply: -20 $\text {. }$ (22)

A) 2
B) -42
C) 42
D) 440
E) -440

Question 60

Divide: 36 $\div$ (-6)

A) 30
B) 42
C) -30
D) -6
E) 6

Question 61

Simplify the following expression. $- \frac { 3 } { 5 } - \left( - \frac { 4 } { 9 } \right)$

A) $- \frac { 1 } { 45 }$
B) $\frac { 1 } { 45 }$
C) $\frac { 7 } { 45 }$
D) $- 1$
E) $- \frac { 7 } { 45 }$

Question 62

Simplify the following expression. $\left( - \frac { 5 } { 19 } \right) \div \left( - \frac { 1 } { 3 } \right)$

A) $- \frac { 15 } { 19 }$
B) $\frac { 15 } { 76 }$
C) $\frac { 15 } { 19 }$
D) $\frac { 5 } { 26 }$
E) $- \frac { 5 } { 26 }$

Question 63

Simplify the following expression. $\left( - \frac { 51 } { 71 } \right) \left( \frac { 19 } { 30 } \right)$

A) $\frac { 323 } { 710 }$
B) $\frac { 323 } { 647 }$
C) $- \frac { 323 } { 710 }$
D) $- \frac { 323 } { 970 }$
E) $\frac { 323 } { 970 }$

Question 64

Simplify the following expression. $- \frac { 2 } { 3 } - \frac { 1 } { 16 }$

A) $\frac { 35 } { 48 }$
B) $\frac { 1 } { 48 }$
C) $- \frac { 35 } { 48 }$
D) $1$
E) $- \frac { 1 } { 48 }$

Question 65

Simplify: $- 5.1 \times 7.1$

A) 2
B) -36.21
C) -12.2
D) -2
E) 36.21

Question 66

Simplify the following expression. $\frac { 3 } { 7 } - \frac { 1 } { 2 }$

A) $- \frac { 1 } { 14 }$
B) $\frac { 29 } { 14 }$
C) $\frac { 1 } { 14 }$
D) $1$
E) $\frac { 5 } { 11 }$

Question 67

Simplify: -1.46 + (-7.93)

A) 6.47
B) -9.39
C) -9.69
D) -9.49
E) -6.47

Question 68

Simplify the following expression. $- \frac { 8 } { 21 } \div \frac { 3 } { 5 }$

A) $- \frac { 40 } { 63 }$
B) $\frac { 63 } { 190 }$
C) $\frac { 40 } { 63 }$
D) $- \frac { 40 } { 81 }$
E) $\frac { 40 } { 81 }$

Question 69

Simplify: $( - 1.8 ) ( - 8.29 )$

A) 14.922
B) 0.014922
C) 14,922
D) -0.014922
E) -14.922

Question 70

Simplify the following expression. $\left( \frac { 5 } { 7 } \right) \left( - \frac { 1 } { 6 } \right) \left( - \frac { 14 } { 19 } \right)$

A) $- \frac { 5 } { 57 }$
B) $\frac { 5 } { 11 }$
C) $\frac { 5 } { 16 }$
D) $\frac { 5 } { 57 }$
E) $- \frac { 5 } { 16 }$

Question 71

Simplify the following expression. $\left( - \frac { 4 } { 9 } \right) \left( - \frac { 2 } { 3 } \right)$

A) $\frac { 8 } { 27 }$
B) $\frac { 8 } { 25 }$
C) $- \frac { 8 } { 27 }$
D) $\frac { 8 } { 17 }$
E) $- \frac { 8 } { 17 }$

Question 72

Simplify: -9.8 + 8 - 9.3

A) 27.1
B) 8.5
C) -27.1
D) 7.5
E) -11.1

Question 73

The patients enrolled in a clinical trial for a new weight-loss drug had a combined weight loss of -18 lb during the first month. There were nine patients in the clinical trial. What was the average weight loss per patient?

A) -1 lb
B) 3 lb
C) -2 lb
D) 1 lb
E) -3 lb

Question 74

Simplify the following expression. $- \frac { 1 } { 2 } + \frac { 2 } { 3 }$

A) $\frac { 1 } { 6 }$
B) $\frac { 13 } { 6 }$
C) $- \frac { 1 } { 6 }$
D) $1$
E) $- \frac { 13 } { 6 }$

Question 75

Simplify the following expression. $\left( \frac { 7 } { 11 } \right) \div \left( - \frac { 3 } { 8 } \right)$

A) $- \frac { 56 } { 33 }$
B) $\frac { 56 } { 169 }$
C) $\frac { 56 } { 33 }$
D) $- \frac { 56 } { 113 }$
E) $\frac { 56 } { 113 }$

Question 76

Simplify: -6.1 + 9.1

A) 15.2
B) 3
C) -15.2
D) 8
E) -3

Question 77

The combined scores of the top twelve golfers in a tournament equaled -48 (48 under par). What was the average score of the twelve golfers?

A) 36
B) -4
C) -1
D) -36
E) 4

Question 78

The patients enrolled in a clinical trial for a new weight-loss drug had a combined weight loss of -30 lb during the first month. During the second month of the clinical trial, the patients lost twice as much weight as they had the first month. What was their combined weight loss the second month?

A) +30 lb
B) -59lb
C) -58 lb
D) -60 lb
E) +58lb

Question 79

Simplify the following expression. $- \frac { 11 } { 12 } - \left( - \frac { 3 } { 9 } \right) + \frac { 2 } { 7 }$

A) $- \frac { 1 } { 84 }$
B) $\frac { 1 } { 84 }$
C) $\frac { 25 } { 84 }$
D) $- 1$
E) $- \frac { 25 } { 84 }$

Question 80

Simplify the following expression. $\left( \frac { 5 } { 11 } \right) \left( - \frac { 5 } { 8 } \right)$

A) $\frac { 25 } { 88 }$
B) $\frac { 25 } { 51 }$
C) $- \frac { 25 } { 88 }$
D) $- \frac { 25 } { 76 }$
E) $\frac { 25 } { 76 }$