Chapter 1

The table shows the number of physicians and hospital beds for nine rural counties. Make a scatter plot of the data. $$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline \text { Physicians } & 11 & 26 & 10 & 19 & 22 & 9 & 15 & 7 & 1 \\\\\hline \text { Hospital Beds } & 85 & 67 & 32 & 69 & 49 & 43 & 90 & 49 & 18 \\\\\hline\end{array}$$

Find the solution of each equation from the list given. $$h+15=21 ; 5,6,7$$

Graph each ordered pair on a coordinate system. $$H(5,3)$$

Name the property shown by each statement. $$7+5=5+7$$

Find the value of each expression. $$32-24 \div 2$$

Evaluate each expression if \(a=5, b=12,\) and \(c=4\) $$b+6$$

Determine whether a scatter plot of hours worked and weekly earnings of a person on the wait staff of a restaurant would show a positive, negative, or no relationship. Explain your answer.

Find the next term in list. \(10,20,30,40,50, \dots\)

Find the solution of each equation from the list given. $$13-m=4 ; 7,8,9$$

Graph each ordered pair on a coordinate system. $$D(6,0)$$

Name the property shown by each statement. $$8+0=8$$

Find the value of each expression. $$18+2 \times 4$$

Evaluate each expression if \(a=5, b=12,\) and \(c=4\) $$a-3$$

The table shows the number of people in a family and the number of telephone calls made per week. $$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \text { Number in Family} & 5 & 1 & 4 & 2 & 4 & 6 & 3 & 4 & 7 & 3 & 5 & 8 & 2 \\ \hline \text { Number of Calls } & 31 & 8 & 26 & 9 & 18 & 34 & 13 & 10 & 25 & 15 & 20 & 36 & 15 \\ \hline \end{array}$$ Make a scatter plot of the data.

Find the next term in list. \(37,33,29,25,21, \dots\)

Find the solution of each equation from the list given. $$k-25=12 ; 36,37,38$$

Find the value of each expression. $$2 \times 9 \div 3$$

Graph each ordered pair on a coordinate system. $$W(4,1)$$

Name the property shown by each statement. $$8 \cdot 4 \cdot 13=4 \cdot 8 \cdot 13$$

Evaluate each expression if \(a=5, b=12,\) and \(c=4\) $$20-c+a$$

The table shows the number of people in a family and the number of telephone calls made per week. $$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \text { Number in Family} & 5 & 1 & 4 & 2 & 4 & 6 & 3 & 4 & 7 & 3 & 5 & 8 & 2 \\ \hline \text { Number of Calls } & 31 & 8 & 26 & 9 & 18 & 34 & 13 & 10 & 25 & 15 & 20 & 36 & 15 \\ \hline \end{array}$$ Does the scatter plot show a relationship between the number of people in a family and the number of telephone calls made per week? Explain.

Find the next term in list. \(12,17,22,27,32, \dots\)

Find the solution of each equation from the list given. $$22+n=41 ; 18,19,20$$

Find the value of each expression. $$5(8)+7$$

Graph each ordered pair on a coordinate system. $$Z(0,1)$$

Name the property shown by each statement. $$1 \times 6=6$$

Evaluate each expression if \(a=5, b=12,\) and \(c=4\) $$18-3 c$$

Find the value of \(k\) that makes \(6=\frac{48}{k}\) true. \(\mathbf{A} 6\) \(\quad\) \(\mathbf{B} 7\) \(\quad\) \(\mathbf{C} 8\) \(\quad\) \(\mathbf{D} 12\)

Find the next term in list. \(3,12,48,192,768, \dots\)

Find the value of each expression. $$6(15-4)$$

Name the property shown by each statement. $$13 \times 12=12 \times 13$$

Evaluate each expression if \(a=5, b=12,\) and \(c=4\) $$\frac{2 b}{8}$$

The table shows the number of songs and the total number of minutes on different CDs. Make a scatter plot of the data. $$\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|} \hline \text { Number of Songs } & 15 & 18 & 20 & 13 & 12 & 15 & 16 & 17 & 14 & 18 & 20 & 19 & 11 & 14 \\ \hline \text { Total Minutes } & 64 & 78 & 63 & 70 & 59 & 61 & 77 & 75 & 72 & 71& 78 & 75 & 63 & 69 \\ \hline \end{array}$$

Define a variable. Then write an equation and solve. A number increased by 8 is 23

Find the value of each expression. $$2[3+7(4)]$$

Name the property shown by each statement. $$6+(1+9)=(6+1)+9$$

Evaluate each expression if \(a=5, b=12,\) and \(c=4\) $$5 a-(b-c)$$

Define a variable. Then write an equation and solve. Twenty-five is 10 less than a number.

In 2003 , the average U.S. household spent \(\$ 13,432\) on housing, \(\$ 2060\) on entertainment, \(\$ 5340\) on food, and \(\$ 7781\) on transportation. How much was spent on housing each month? Round to the nearest cent.

Find the value of each expression. $$3[(20-7)+1]$$

Find each sum or product. Explain your reasoning. $$13+8+7$$

Translate each phrase into an algebraic expression. eight dollars more than the amount Taimi saved

Determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship. Explain your answer. size of household and amount of water bill.

The Geiger family is driving at an average speed of 55 miles per hour. The table shows the relationship between the distance driven and the time. $$\begin{array}{|c|c|}\hline \text { Time \(t\) } & \text { Distance \(d\) } \\\\\hline \text { (hours) } & \text { (miles) } \\\\\hline 1 & 55 \\\\\hline 2 & 110 \\\\\hline 4 & 220 \\\\\hline 5 & 275 \\ \hline\end{array}$$ Given \(t,\) the time in hours, write an equation that can be used to find \(d\), the distance driven.

Find the value of each expression. $$\frac{10-4}{1+2}$$

Find each sum or product. Explain your reasoning. $$6 \cdot 9 \cdot 5$$

Determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship. Explain your answer. hair color and height.

The Geiger family is driving at an average speed of 55 miles per hour. The table shows the relationship between the distance driven and the time. $$\begin{array}{|c|c|}\hline \text { Time \(t\) } & \text { Distance \(d\) } \\\\\hline \text { (hours) } & \text { (miles) } \\\\\hline 1 & 55 \\\\\hline 2 & 110 \\\\\hline 4 & 220 \\\\\hline 5 & 275 \\ \hline\end{array}$$ How long would it take them to drive 495 miles?

Find the value of each expression. $$\frac{34+18}{27-14}$$

Express each relation as a table and as a graph. Then determine the domain and range. $$\\{(2,5),(0,2),(5,5)\\}$$