Chapter 1

Write the expression in exponential form. nine to the fifth power

Evaluate the variable expression when x = 3. $$ \frac{15}{x}+2^{3}-10 $$

Check to see if \(a=5\) is or is not a solution of the equation. $$ a^{2}+2=27 $$

Write the phrase as a variable expression. Let x represent the number. Quotient of a number and 50

Evaluate the variable expression when \(k=3\) $$ 18 \cdot k $$

Determine whether the table represents a function. $$ \begin{array}{|c|c|} \hline \text { input } & {\text { Output }} \\ \hline 1 & {3} \\ \hline 2 & {4} \\ \hline 3 & {5} \\ \hline \end{array} $$

An appliance store sells two stereo models. The model without a CD player is \(\$ 350 .\) The model with a CD player is \(\$ 480 .\) Your summer job allows you to save \(\$ 50\) a week for 8 weeks. At the end of the summer, you have enough to buy the stereo without the CD player. How much would you have needed to save each week to buy the other model? Write a verbal model that relates the number of weeks worked, the amount you would have needed to save each week, and the price of the stereo with the CD player.

Write the expression in exponential form. \(b\) to the eighth power

Evaluate the variable expression when x = 3. $$ \frac{24}{x} \cdot 5 $$

Check to see if \(a=5\) is or is not a solution of the equation. $$ \frac{40}{a}=8 $$

Write the phrase as a variable expression. Let x represent the number. 15 increased by a number

Determine whether the table represents a function. $$ \begin{array}{|c|c|} \hline \text { input } & {\text { Output }} \\ \hline 1 & {2} \\ \hline 3 & {3} \\ \hline 3 & {4} \\ \hline \end{array} $$

An appliance store sells two stereo models. The model without a CD player is \(\$ 350 .\) The model with a CD player is \(\$ 480 .\) Your summer job allows you to save \(\$ 50\) a week for 8 weeks. At the end of the summer, you have enough to buy the stereo without the CD player. How much would you have needed to save each week to buy the other model? Assign labels to your verbal model. Use \(m\) to represent the unknown value.

Write the expression in exponential form. \(3 \cdot 3 \cdot 3 \cdot 3\)

Evaluate the expression. $$ 13+3 \cdot 7 $$

Check to see if \(b=8\) is or is not a solution of the inequality. $$ b+10>19 $$

Write the phrase as a variable expression. Let x represent the number. A number plus 18

Match the variable expression with its meaning. $$ y+8 $$ A. 8 times \(y\) B. \(y\) divided by 8 C. y plus 8 D. \(y\) minus 8

Determine whether the table represents a function. $$ \begin{array}{|c|c|} \hline \text { input } & {\text { Output }} \\ \hline 2 & {2} \\ \hline 3 & {4} \\ \hline 4 & {6} \\ \hline \end{array} $$

An appliance store sells two stereo models. The model without a CD player is \(\$ 350 .\) The model with a CD player is \(\$ 480 .\) Your summer job allows you to save \(\$ 50\) a week for 8 weeks. At the end of the summer, you have enough to buy the stereo without the CD player. How much would you have needed to save each week to buy the other model? Use the labels to translate your verbal model into an equation.

The table shows the population (in thousands) of California following the Gold Rush of 1849. Make a line graph of the data. $$ \begin{array}{|c|c|c|c|c|c|} \hline \text { Year } & {1850} & {1860} & {1870} & {1880} & {1890} \\ \hline \text { Population } & {93} & {380} & {560} & {865} & {1213} \\ \hline \end{array} $$

Write the expression in exponential form. \(4 x \cdot 4 x \cdot 4 x\)

Evaluate the expression. $$ 7+8 \div 2 $$

Check to see if \(b=8\) is or is not a solution of the inequality. $$ 14-b \leq 3 $$

Write the phrase as a variable expression. Let x represent the number. 6 less than a number

Match the variable expression with its meaning. $$ y-8 $$ A. 8 times \(y\) B. \(y\) divided by 8 C. y plus 8 D. \(y\) minus 8

Determine whether the table represents a function. $$ \begin{array}{|c|c|} \hline \text { input } & {\text { Output }} \\ \hline 1 & {3} \\ \hline 1 & {4} \\ \hline 2 & {5} \\ \hline \end{array} $$

An appliance store sells two stereo models. The model without a CD player is \(\$ 350 .\) The model with a CD player is \(\$ 480 .\) Your summer job allows you to save \(\$ 50\) a week for 8 weeks. At the end of the summer, you have enough to buy the stereo without the CD player. How much would you have needed to save each week to buy the other model? Use mental math to solve the equation.

A square painting measures 5 feet by 5 feet. Write the power that gives the area of the painting. Then evaluate the power.

Evaluate the expression. $$ 2^{4}-5 \cdot 3 $$

Check to see if \(b=8\) is or is not a solution of the inequality. $$ 5 b>35 $$

Write the phrase as a variable expression. Let x represent the number. A number minus 7

Match the variable expression with its meaning. $$ \frac{y}{8} $$ A. 8 times \(y\) B. \(y\) divided by 8 C. y plus 8 D. \(y\) minus 8

An appliance store sells two stereo models. The model without a CD player is \(\$ 350 .\) The model with a CD player is \(\$ 480 .\) Your summer job allows you to save \(\$ 50\) a week for 8 weeks. At the end of the summer, you have enough to buy the stereo without the CD player. How much would you have needed to save each week to buy the other model? Check that your answer is reasonable.

The fastest winning speed in the Daytona 500 is about 178 miles per hour. In the table below, calculate the distance traveled \(d\) (in miles) after time \(t\) (in hours) using the equation \(d=178 t\) Copy and complete the input-output table. $$ \begin{array}{|l|c|c|c|c|c|} \hline \text { Time (hours) } & {0.25} & {0.50} & {0.75} & {1.00} & {1.25} & {1.50} \\ \hline \text { Distance traveled (miles) } & {?} & {?} & {?} & {?} & {?} & {?} \\\ \hline \end{array} $$

MULTIPLE CHOICE Which way of organizing data is useful for showing changes in data over time? (A) Table \(\quad\) (B) Line graph\(\quad\)(C) Circle graph\(\quad\) (D) None of these

Evaluate the power. \(9^{2}\)

Evaluate the expression. $$ 6^{2}+4 $$

Check to see if \(b=8\) is or is not a solution of the inequality. $$ 8 \geq 64 \div b $$

Match the sentence with its equation. Let x represent the number. A number increased by 2 is 4. A. \(x-4=2\) B. \(x+2=4\) C. \(\frac{x}{4}=2\) D. \(2 x=4\)

Match the variable expression with its meaning. $$ 8 y $$ A. 8 times \(y\) B. \(y\) divided by 8 C. y plus 8 D. \(y\) minus 8

CHALLENGE You are running for class president. By two o'clock on election day you have 95 votes and your opponent has 120 votes. Forty-five more students will be voting. Let \(x\) represent the number of students (of the 45) who vote for you. a. Write an inequality that shows the values of \(x\) that will allow you to win the election. b. What is the smallest value of \(x\) that is a solution of the inequality?

The fastest winning speed in the Daytona 500 is about 178 miles per hour. In the table below, calculate the distance traveled \(d\) (in miles) after time \(t\) (in hours) using the equation \(d=178 t\) Use the data to draw a graph.

Evaluate the power. \(2^{4}\)

Evaluate the expression. $$ 4^{3}+9 \cdot 2 $$

Check to see if \(b=8\) is or is not a solution of the inequality. $$ 3 b-24>0 $$

Evaluate the expression for the given value of the variable. \(9+p\) when \(p=11\)

Match the sentence with its equation. Let x represent the number. The product of 2 and a number is 4. A. \(x-4=2\) B. \(x+2=4\) C. \(\frac{x}{4}=2\) D. \(2 x=4\)

MULTIPLE CHOICE A jet is flying from Baltimore to Orlando at a speed r of 500 miles per hour. The distance \(d\) between the two cities is about 793 miles. Which equation can be used to find the time \(t\) it takes to make the trip? (A) \(793=500 t\) (B) \(t=\frac{500}{793}\) (C) \(793 t=500\) (D) \(t=793(500)\)

The fastest winning speed in the Daytona 500 is about 178 miles per hour. In the table below, calculate the distance traveled \(d\) (in miles) after time \(t\) (in hours) using the equation \(d=178 t\) For what values of \(t\) does the formula \(d=178 t\) correspond to the situation being modeled?