Deck 2: The Integers

Question 1

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

Answer 1

9, -11

Question 2

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

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

Answer 2

-6

Question 3

What symbol must be inserted in the blank to make a true statement? $- | - 131 |$ ________ $167$

A) $<$
B) $>$

Answer 3

$<$

Question 4

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

Question 5

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 6

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

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

Question 7

Evaluate the following expression.

Question 8

Add: $- 8 + 8$

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

Question 9

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) $- 6 , - 1,0,1,2,4.25,5,8$

Question 11

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

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

Question 12

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

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

Question 13

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

A) $<$
B) $>$

Question 14

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

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

Question 15

Simplify the expression. $- ( - 67 )$

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

Question 16

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

Question 17

Add.

Question 18

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

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

Question 19

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

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

Question 20

The opposite of -3 is 3.

Question 21

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 22

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 23

Add.

Question 24

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

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

Question 25

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 26

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

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

Question 27

Add: $- 20 + 20$

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

Question 28

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

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

Question 29

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

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

Question 30

What is the additive inverse of $- 16$ ?

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

Question 31

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 32

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

Question 33

Add.

Question 34

Find the product.

Question 35

Subtract. $0 - 3$

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

Question 36

Add.

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

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

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

Question 39

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 40

Add.

Question 41

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 42

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 43

$21 \div 3 = 7$

Question 44

$9 \div 1 = 9$

Question 45

Use the associative property of multiplication to find the product.

Question 46

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 47

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 48

Perform the operation.

Question 49

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

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

Question 50

Perform the operation.

Question 51

Perform the operation. $12 ( - 4 )$

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

Question 52

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

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

Question 53

Multiply. $2 \cdot 8$

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

Question 54

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

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

Question 55

Multiply. $25 \cdot 53 \cdot 3$

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

Question 56

What number is the base in the expression ?

Question 57

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

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

Question 58

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

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

Question 59

Use a calculator to evaluate the expression.

Question 60

Divide:

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

Question 61

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 62

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 63

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

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

Question 64

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 65

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 66

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 67

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

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

Question 68

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 69

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

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

Question 70

Evaluate.

Question 71

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 72

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

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

Question 73

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 74

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 75

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

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