Deck 2: The Integers

Question 1

List the numbers in the set that are natural numbers. $\left\{ - 6 , - 1 , - \frac { 1 } { 2 } , 0,1 , \frac { 7 } { 6 } , 2 , \sqrt { 6 } , 4.25,5,8 \right\}$

A) $1,2,5,8$
B) $- 6 , - 1 , - \frac { 1 } { 2 } , 0,1 , \frac { 7 } { 6 } , 2,4.25,5,8$
C) $- 6 , - 1 , - \frac { 1 } { 2 } , 0,1,2,4.25,5,8$
D) $- 6 , - 1 , - \frac { 1 } { 2 } , 0,1 , \frac { 7 } { 6 } , 2 , \sqrt { 6 } , 4.25,5,8$
E) $- 6 , - 1,0,1,2,4.25,5,8$

Answer 1

$1,2,5,8$

Question 2

Find the absolute value. $| 25 - 13 |$

A) 12
B) 14
C) -14
D) 0
E) -12

Answer 2

12

Question 3

What symbol must be inserted in the blank to make a true statement? $- | - 131 |$ ________167

A) <
B) $>$

Answer 3

<

Question 4

Evaluate the expression. $\frac { 102 - ( 30 - 3 \cdot 10 ) } { 8 ^ { 2 } - \left( 4 + 3 ^ { 2 } \right) }$

A) 4.5
B) 12
C) 5
D) -1
E) 2

Question 5

Which one of the symbols, " ", inserted in the blank would make a true statement?
-137 _____ -241
Enter the entire inequality as your answer.

Question 6

Add.

Question 7

Simplify the expression. $- ( - 67 )$

A) 67
B) $- 51$
C) $79$
D) -67

Question 8

The set of __________ numbers is {1, 2, 3, 4, ... }.

A) irrational
B) integer
C) natural
D) whole
E) negative

Question 10

Choose the symbol to fill in the blank to make a true statement. - 6 ________ -2

A) <
B) $>$

Question 11

On a number line, what number is 3 units to the right of -9?

A) -11
B) 6
C) -12
D) -5
E) -6

Question 12

Find the value of the expression. $- | - 35 |$

A) -35
B) 35
C) 55
D) -55
E) 0

Question 13

Find the sum.
-10 + (-11) =

Question 14

Which of the following numbers is farther from 2 on the number line?

A) 3
B) -3
C) -6
D) 6
E) 10

Question 15

Add: $- 8 + 8$

A) 0
B) 16
C) -16
D) 20

Question 16

Evaluate. $- 12 \div ( - 2 ) 3$

A) $2$
B) $12$
C) $18$
D) $- 8$
E) $- 9$

Question 17

What two numbers on a number line are a distance of 10 away from -1?

A) -10, 10
B) 10, -12
C) 8, -10
D) 9, -11
E) -9, 11

Question 18

Find the sum of $- 23 + ( - 16 )$ .

A) -38
B) 39
C) -39
D) -7
E) None of these

Question 19

The opposite of -3 is 3.

Question 20

Evaluate the following expression.

Question 21

Add.

Question 22

What number must be added to $- 21$ to obtain $0$ ?

A) $1$
B) $- 21$
C) - 42
D) $0$
E) $21$

Question 23

Add.

Question 24

Subtract: $- \frac { 4 } { 5 } - \frac { 1 } { 5 }$

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

Question 25

Add.

Question 26

Evaluate the expression. $- 25 + [ - 17 + ( - 12 ) ]$

A) $- 45$
B) $- 29$
C) $- 91$
D) $- 54$
E) $- 38$

Question 27

Add.

Question 28

Add: $- 20 + 20$

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

Question 29

Subtract. $0 - 3$

A) $- 3$
B) $2$
C) $- 2$
D) 0
E) $3$

Question 30

What is the additive inverse of $- 16$ ?

A) $- 16$
B) $16$
C) $0$
D) $- 17$
E) $- 15$

Question 31

Which of the following numbers is the additive identity?
7 , 3, |3|, 12 , 0, -5 , -7

Question 32

After descending 30 feet, a scuba diver paused to check his equipment before descending an additional 80 feet. Use a signed number to represent the diver's final depth.
Final depth = __________ feet

Question 33

The first several steps of a chemistry lab experiment are listed below. The experiment begins with a compound that is stored at .
Step 1. Raise the temperature of the compound .
Step 2. Add sulfur and then raise the temperature .
Step 3. Add 15 milliliters of water, stir and raise the temperature .
What is the resulting temperature of the mixture after Step 3?

Question 34

Add: $( - 9 + 5 ) + ( - 5 + 7 )$

A) -6
B) 6
C) -2
D) 26

Question 35

Perform the indicated operations: $- 2 - 9 - ( - 6 )$

A) -5
B) -17
C) 17
D) 5

Question 36

Find the product.

Question 37

During normal operation, the ammeter on a car reads + 5. (See the illustration below.)
If the headlights, which draw a current of 8 amps, and the radio, which draws a current of 3 amps, are both turned on, what number will the ammeter register?
__________ amps

Question 38

A financier's lunchtime workout includes jogging up 11 stories of stairs in a high-rise office building. If he starts on the fourth level below ground in the underground parking garage, on what story of the building will he finish his workout?
He will finish on floor number __________ of the building.

Question 39

A submarine was traveling 1,700 feet below the ocean's surface when the radar system warned of an impending collision with another sub. The captain ordered the navigator to dive an additional 350 feet and then level off. Find the depth of the submarine after the dive.
__________ feet below the ocean's surface

Question 40

On a financial balance sheet, debts (negative numbers) are denoted within parentheses. Assets (positive numbers) are written without parentheses. What is the 1,989 fund balance for the school whose financial records are shown in the table below?
Fund balance = $__________

Question 41

$21 \div 3 = 7$

Question 42

Perform the operation. $( 3 ) ( - 1 ) ( 3 ) ( 4 )$

A) 11
B) 0
C) -36
D) 16

Question 43

Perform the operation.

Question 44

Multiply. $25 \cdot 53 \cdot 3$

A) 3,975
B) 3,826
C) 4,144
D) 3,985
E) 3,816

Question 45

Divide:

A) 543
B) 664
C) 494
D) 544
E) 644

Question 46

$9 \div 1 = 9$

Question 47

Multiply. $2 \cdot 8$

A) 10
B) 16
C) 28
D) 8
E) 2

Question 48

Multiply. $\begin{array} { r } 5,277 \\\times 3,120 \\\hline\end{array}$

A) 16,465,240
B) 16,464,240
C) 16,462,240
D) 18,464,240
E) 15,464,240

Question 49

Use a calculator to evaluate the expression.

Question 50

Perform the operation.

Question 51

Perform the operation. $\frac { - 92 } { 0 }$

A) $- 1$
B) $92$
C) $- \frac { 1 } { 92 }$
D) $0$
E) undefined

Question 52

A farmer, worried about his fruit trees suffering frost damage, calls the weather service for temperature information. He is told that temperatures will be decreasing approximately every hour for the next 4 hours. What signed number represents the total change in temperature expected over the next 4 hours?

Question 53

Use a calculator to find the power $( - 28 ) ^ { 3 }$ .

A) $- 21,952$
B) $784$
C) $21,952$
D) $614,656$
E) $- 784$

Question 54

A levee protects a town in a low-lying area from flooding. According to geologists, the banks of the levee are eroding at a rate of 7 feet per year. If something isn't done to correct the problem, what signed number indicates how much of the levee will erode during the next decade?
__________ ft

Question 55

Perform the operation. $12 ( - 4 )$

A) $- 36$
B) $- 48$
C) $60$
D) $- 60$
E) $48$

Question 56

Find the power $( - 3 ) ^ { 2 }$ .

A) -81
B) 81
C) -9
D) 9
E) 3

Question 57

Use the associative property of multiplication to find the product.

Question 58

Perform the operation. $\frac { 0 } { - 5 }$

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

Question 59

Sunlight is a mixture of all colors. When sunlight passes through water, the water absorbs different colors at different rates, as shown in the illustration below. Green light penetrates 4 times deeper than red light. Express this depth as a signed number. How far does green light penetrate?
__________ ft.

Question 60

What number is the base in the expression ?

Question 61

Estimate the value of  $207 + ( - 147 ) + 548 + ( - 792 )$  by rounding each number to the nearest hundred.

A) -184
B) 184
C) -304
D) 304

Question 62

Simplify the expression. $\frac { 63 } { 2 } \cdot \frac { 14 } { 9 } - \frac { 8 } { 9 } \cdot 27$

A) 18
B) 4
C) 28
D) 22
E) 25

Question 63

Evaluate. $2 + \frac { 24 } { - 6 } + 10 \cdot 6$

A) $- 58$
B) $66$
C) $58$
D) $- 63$
E) $61$

Question 64

At the midway point of the season, a baseball team finds itself 10 games behind the league leader. Team management decides to trade for a talented player, in hopes of making up at least half of the deficit in the standings by the end of the year. Where in the league standings does management expect to finish at season's end?
__________ games behind the league leader.

Question 65

Find the absolute value. $| 21 - 15 |$

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

Question 66

Estimate the value of $- 43 + 53 + ( - 72 ) + ( - 65 ) + 25$  by rounding each number to the nearest ten.

A) -102
B) 102
C) -16
D) 152

Question 67

Evaluate the expression. $3.8 + | 6.3 + ( - 4.2 ) |$

A) 8.6
B) 2.4
C) 5.9
D) 4.8
E) 1.5

Question 68

A mule train is to travel from a stable on the rim of a canyon to a camp on the canyon floor, approximately 4,200 feet below the rim. If the guide wants the mules to be rested after every 600 feet of descent, how many stops will be made on the trip?
__________ stop(s)

Question 69

Round each number to the nearest hundred to estimate the value of the following expression: $- 2,344 + 8,692 + 1,055 + ( - 3,454 )$

A) 3,949
B) -3,949
C) 8,637
D) 15,545

Question 70

Evaluate.

Question 71

Evaluate the expression. $\frac { - 2 - 5 } { - [ 5 + ( - 6 ) ] }$

A) $- 8$
B) $- 7$
C) $- 3$
D) $- 10$
E) $- 9$

Question 72

A politician proposed a two-year plan for cutting a county's $36 million budget deficit, as shown in the table below. If this plan is put into effect, what will be the change (in millions of dollars) in the county's financial status in two years?

The budget deficit will be reduced by $__________ million.

Question 73

Evaluate the expression. $\frac { 6 \cdot 7 - 10 ( 4 \cdot 9 - 35 ) } { 4 ( 3 + 2 ) - 3 ^ { 2 } + 5 }$

A) -3
B) -1
C) 7
D) 2
E) 1

Question 74

Find the value of the expression. $- | - 95 |$

A) $- 95$
B) $95$
C) $70$
D) $- 70$
E) $0$

Question 75

Perform the operation. $\frac { 4 ( 6 + 4 ) } { 4 \cdot 4 - 20 }$

A) 10
B) -12
C) -10
D) 3
E) -8