🎉 Announcing Numerade's $26M Series A, led by IDG Capital!Read how Numerade will revolutionize STEM Learning # Prealgebra ## Carol E. Malloy, Rhonda J. Molix-Bailey, Jack Price ## Chapter 2 ## Integers ## Educators  TH ### Problem 1 Write an integer for each situation. Then graph on a number line. $$8^{\circ} below zero$$ Patrick B. Numerade Educator ### Problem 2 Write an integer for each situation. Then graph on a number line. $$a 15 -yard gain$$ Patrick B. Numerade Educator ### Problem 3 Write two inequalities using the numbers in each sentence. Use the symbols$<$or$>$$$-7^{\circ} is colder than 3^{\circ}$$ Patrick B. Numerade Educator ### Problem 4 Write two inequalities using the numbers in each sentence. Use the symbols$<$or$>$$-6 is greater than -10. Patrick B. Numerade Educator ### Problem 5 Replace each with <,>, or = to make a true sentence.$$-18 \cdot-8$$ Patrick B. Numerade Educator ### Problem 6 Replace each with <,>, or = to make a true sentence.$$0=-3$$ Patrick B. Numerade Educator ### Problem 7 Replace each with <,>, or = to make a true sentence.$$9 \cdot-9$$ Patrick B. Numerade Educator ### Problem 8 Order the integers \{28,-6,0,-2,5,-52,115\} from least to greatest. Patrick B. Numerade Educator ### Problem 9 The table shows the recorded acceleration for a new car at regular intervals. Order the accelerations from least to greatest.$$\begin{aligned}&\left(\frac{5}{5}\right)\\&\begin{array}{|r|r|r|r|r|r|r|r|r|}\hline \text { Time (s) } & 10 & 20 & 30 & 40 & 50 & 60 & 70 & 80 & 90 \\\hline \text { Acceleration }\left(\mathrm{m} /\mathrm{s}^{2}\right) & 16 & -31 & -10 & -6 & 9 & 34 & -23 & -19 & -2 \\\hline\end{array}\end{aligned}$$ Patrick B. Numerade Educator ### Problem 10 Evaluate each expression.$$|-10|$$ Patrick B. Numerade Educator ### Problem 11 Evaluate each expression.$$|10|-|-4|S Patrick B.

### Problem 12

Evaluate each expression.
$$|16|+|-5|$$ Patrick B.

### Problem 13

ALGEBRA Evaluate each expression if $a=-8$ and $b=5$
$$9+|a|$$4 Patrick B.

### Problem 14

ALGEBRA Evaluate each expression if $a=-8$ and $b=5$
$$|a|-b$$ Patrick B.

### Problem 15

ALGEBRA Evaluate each expression if $a=-8$ and $b=5$
$$2|a|$$ Patrick B.

### Problem 16

Write an integer for each situation. Then graph on a number line.
$$a bank withdrawal of \ 100$$ Patrick B.

### Problem 17

Write an integer for each situation. Then graph on a number line.
$$a loss of 6 pounds$$ Patrick B.

### Problem 18

Write an integer for each situation. Then graph on a number line.
$$a salary increase of \ 250$$ Patrick B.

### Problem 19

Write an integer for each situation. Then graph on a number line.
$$a gain of 9 yards$$ Patrick B.

### Problem 20

Write an integer for each situation. Then graph on a number line.
$$12^{\circ} above zero$$ Patrick B.

### Problem 21

Write an integer for each situation. Then graph on a number line.
$$5 seconds before liftoff$$ Patrick B.

### Problem 22

Write two inequalities using the numbers in each sentence. Use the symbols $<$ or $>$
$$3 meters is taller than 2 meters. Patrick B. Numerade Educator ### Problem 23 Write two inequalities using the numbers in each sentence. Use the symbols < or >$$A temperature of $-5^{\circ} \mathrm{F}$ is warmer than a temperature of $-10^{\circ} \mathrm{F}$$ Patrick B. Numerade Educator ### Problem 24 Write two inequalities using the numbers in each sentence. Use the symbols < or >$$55 miles per hour is slower than 65 miles per hour.$$ Patrick B. Numerade Educator ### Problem 25 Write two inequalities using the numbers in each sentence. Use the symbols < or >$$ A 4-yard loss is less than no gain.$$ Patrick B. Numerade Educator ### Problem 26 Replace each with <,>, or = to make a true sentence.$$-6 \circ-2$ Patrick B.

$Replace each with$<,>,$or$=$to make a true sentence. .4$-10^{\circ}-13$ Patrick B. Numerade Educator ### Problem 28$Replace each with $<,>,$ or $=$ to make a true sentence.
.4 $-10^{\circ}-13$ Patrick B.

### Problem 29

Replace each with $\langle,>,$ or $=$ to make a true sentence.
$$-6 __-2$$ Patrick B.

$Replace each with$<,>,$or$=$to make a true sentence. $$14.0$$ Patrick B. Numerade Educator ### Problem 31$Replace each with $<,>,$ or $=$ to make a true sentence.
$$5 \cdot-23$$ Patrick B.

$Replace each with$<,>,$or$=$to make a true sentence. $$|9| \circ|-9|$$ Patrick B. Numerade Educator ### Problem 32$Replace each with $<,>,$ or $=$ to make a true sentence.
$$|-20| \cdot|-4|$$ Patrick B.

$Replace each with$<,>,$or$=$to make a true sentence. $$|-20| \cdot|-4|$$ Patrick B. Numerade Educator ### Problem 34 Order the integers in each set from least to greatest. $$\{5,0,-8\})$$ Patrick B. Numerade Educator ### Problem 35 Order the integers in each set from least to greatest.$\{-15,-1,-2,-4\}$ Patrick B. Numerade Educator ### Problem 36 Order the integers in each set from least to greatest.$(19,-16,4,62,-80)$ Patrick B. Numerade Educator ### Problem 37 Order the integers in each set from least to greatest. $$(41,-14,50,-23,-20) Patrick B. Numerade Educator ### Problem 38 Order the integers in each set from least to greatest.$$\{24,5,-46,9,0,-3\}$ Patrick B.

### Problem 39

Order the integers in each set from least to greatest.
$(98,-57,-60,38,188)$ Patrick B.

### Problem 40

Evaluate each expression.
$$|-15|$$ Patrick B.

### Problem 41

Evaluate each expression.
$$|46| \quad$$ Patrick B.

### Problem 42

Evaluate each expression
$$-|20|$$ Patrick B.

### Problem 43

Evaluate each expression
$$-|5|$$ Patrick B.

### Problem 44

Evaluate each expression
$|0| \quad$ Patrick B.

### Problem 45

Evaluate each expression
$|7|$ Patrick B.
$$|-5|+|4| \quad Patrick B. Numerade Educator ### Problem 47 Evaluate each expression$$|0|+|-2|$$ Patrick B. Numerade Educator ### Problem 48 Evaluate each expression \text { 48. }|15|-|-1| Patrick B. Numerade Educator ### Problem 49 Evaluate each expression a9. }|0+9| \quad \text Patrick B. Numerade Educator ### Problem 50 Evaluate each expression$$|9-5|-|6-8|$$ Patrick B. Numerade Educator ### Problem 51 Evaluate each expression$$-|-6+1|-|5-6|$$ Patrick B. Numerade Educator ### Problem 52 Evaluate each expression if a=0, b=3, and c=-4$$14+|b|$$ Patrick B. Numerade Educator ### Problem 53 Evaluate each expression if a=0, b=3, and c=-4$$|c|-a$$ Patrick B. Numerade Educator ### Problem 54 Evaluate each expression if a=0, b=3, and c=-4$$a+b+|c|$$ Patrick B. Numerade Educator ### Problem 55 Evaluate each expression if a=0, b=3, and c=-4$$a b+|-40|$$ Patrick B. Numerade Educator ### Problem 56 Evaluate each expression if a=0, b=3, and c=-4$$|c|-b$$ Patrick B. Numerade Educator ### Problem 57 Evaluate each expression if a=0, b=3, and c=-4$$|a b|+b$$ Patrick B. Numerade Educator ### Problem 58 The Caribbean Sea has an average depth of 8448 feet below sea level. Use an integer to express this depth.to express this depth.\begin{array}{|l|l|c|c|} \hline \multicolumn{1}{|c|} & \multicolumn{1}{c |}\text { Stur } \\ \hline \text { All } & \multicolumn{1}{|c|}\text { (t) } \\ \hline \text { Alaska } & \text { Prospect Creek Camp } & \text { Jan. 23, 1971 } & -80 \\ \hline \text { Montana } & \text { Rogers Pass } & \text { Jan. 20, 1954 } & -70 \\ \hline \text { Wisconsin } & \text { Danbury } & \text { Jan. 24, 1922 } & -54 \\ \hline\end{array} Patrick B. Numerade Educator ### Problem 59 Graph the temperatures on a number line. Patrick B. Numerade Educator ### Problem 60 Compare the lowest temperature in Alaska and the lowest temperature in Wisconsin using the < symbol. Patrick B. Numerade Educator ### Problem 61 Compare the lowest temperature in Montana and the lowest temperature in Wisconsin using the > symbol. Patrick B. Numerade Educator ### Problem 62 Write the temperatures in order from greatest to least. Patrick B. Numerade Educator ### Problem 63 Compare the lowest temperature in Montana and the lowest temperature in Wisconsin using the > symbol. Patrick B. Numerade Educator ### Problem 64 Compare the lowest temperature in Alaska and the lowest temperature in Wisconsin using the < symbol.Graph each set of integers on a number line. \{-3,1,2,5\} Patrick B. Numerade Educator ### Problem 65 Graph each set of integers on a number line.$$\{-2,-4,-5,-8\}$$ Patrick B. Numerade Educator ### Problem 66 Graph each set of integers on a number line.$$\{-4,0,6,-7,-1\}$$ Patrick B. Numerade Educator ### Problem 67 Vame the \begin{array}{ccccccc} B & D & A & C & & \\ + & + & + & + & + & + & + \\ -6 & -4 & -2 & 0 & 2 & 4 & 6 \end{array}coordinates of each point graphed on the number line. Patrick B. Numerade Educator ### Problem 68 The average temperature of Saturn is -218^{\circ} \mathrm{F} while the average temperature of Jupiter is -162^{\circ} \mathrm{F}. Which planet has the lower average temperature? Explain. Patrick B. Numerade Educator ### Problem 69 FIND THE DAIA Refer to the United States Data File on pages 18-21. Choose some data and write a real-world problem in which you would compare anc order integers. Patrick B. Numerade Educator ### Problem 70 OPEN ENDED Write two inequalities using integers Patrick B. Numerade Educator ### Problem 71 NUMBER SENSE Explain how to find the number of units apart -4 and 5 are on a number line. Patrick B. Numerade Educator ### Problem 72 Which One Doesn't Belong? Identify the expression that does not belong with the other three. Explain your reasoning. (graph can;t copy Patrick B. Numerade Educator ### Problem 73 Is it altways, sometimes, or never true that the distance between A and B equals the distance between |A| and |B| ? Explain. Patrick B. Numerade Educator ### Problem 74 Assume A>B . Is it always, sometimes, or never true that A-|B| \leq A+B ? Explain, Patrick B. Numerade Educator ### Problem 75 Writing in Math Use the information about integers on page 78 to explain how they can be used to model real-world situations. Include arexplanation of how integers are used to describe rainfall. Patrick B. Numerade Educator ### Problem 76 What is the temperature shown on the thermometer at the right? \mathbf{A} \&^{\circ} \mathrm{F} \mathbf{B} \quad 7^{\circ} \mathrm{F} \mathbf{C}-7^{\circ} \mathrm{F} \mathbf{D}-8^{\circ} \mathrm{F} Patrick B. Numerade Educator ### Problem 77 How many units apart are -4 and 3 on a number line? Patrick B. Numerade Educator ### Problem 79 Determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship. Explain your answer. (lesson 1-7) height and arm length? Patrick B. Numerade Educator ### Problem 80 relationship. Explain your answer. birth month and weight Patrick B. Numerade Educator ### Problem 81 Express each relation as a table and as a list of ordered pairs. (graph can't copy) Check back soon! ### Problem 82 Express each relation as a table and as a list of ordered pairs - (graph can't copy) Check back soon! ### Problem 83 Name the property shown by each statement.$$20(18)=18(20)$$ Patrick B. Numerade Educator ### Problem 84 Name the property shown by each statement.$$9(8)(0)=0$$ Patrick B. Numerade Educator ### Problem 85 Name the property shown by each statement.$$3 a b=3 b a$$ Patrick B. Numerade Educator ### Problem 86 Find each sum or difference.$$18+29+46$$ Patrick B. Numerade Educator ### Problem 87 Find each sum or difference.$$232+156$$ Patrick B. Numerade Educator ### Problem 88 Find each sum or difference. 451+629+1027 Patrick B. Numerade Educator ### Problem 89 Find each sum or difference.$$36-19$$ Patrick B. Numerade Educator ### Problem 90 Find each sum or difference.$$479-281$$ Patrick B. Numerade Educator ### Problem 91 Find each sum or difference.$$2011-962 