Chapter 1

Write the verbal sentence as an equation or an inequality. Twenty divided by a number \(n\) is less than or equal to two.

ELECTIONS The number of votes received by the new student council president is represented by \(x\). Match the sentence with the equation or inequality that represents it. A. \(x=125\) B. \(x<125\) c. \(x \geq 125\) D. \(x \leq 125\) She received at least 125 votes.

Evaluate the expression when \(x=3\) \((2 x)^{3}\)

Does the table represent a function? Explain. $$ \begin{array}{|c|c|} \hline \text { Input } & \text { Output } \\ \hline 1 & 3 \\ \hline 2 & 6 \\ \hline 3 & 11 \\ \hline 4 & 18 \\ \hline \end{array} $$

ELECTIONS The number of votes received by the new student council president is represented by \(x\). Match the sentence with the equation or inequality that represents it. A. \(x=125\) B. \(x<125\) c. \(x \geq 125\) D. \(x \leq 125\) She received exactly 125 votes.

Write the verbal sentence as an equation or an inequality. Ten more than a number \(x\) is greater than fourteen.

Evaluate the expression when \(x=3\) $$ (x-1)^{4} $$

Does the table represent a function? Explain. $$ \begin{array}{|c|c|} \hline \text { Input } & \text { Output } \\ \hline 9 & 5 \\ \hline 9 & 4 \\ \hline 8 & 3 \\ \hline 7 & 2 \\ \hline \end{array} $$

Evaluate the expression for the given value of the variable. $$3+2 x^{3} \text { when } x=2$$

ELECTIONS The number of votes received by the new student council president is represented by \(x\). Match the sentence with the equation or inequality that represents it. A. \(x=125\) B. \(x<125\) c. \(x \geq 125\) D. \(x \leq 125\) She received less than 125 votes.

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. Nine more than a number.

Evaluate the expression when \(x=3\) \(5^{x}\)

Make an input-output table for the function. Use 0, 1, 2, and 3 as the domain. $$ y=3 x+2 $$

Evaluate the expression for the given value of the variable. $$y^{4} \div 8 \text { when } y=4$$

CHECKING SOLUTIONS OF EQUATIONS Check whether the given number is a solution of the equation. $$3 b+1=13 ; 4$$

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. One half multiplied by a number

Evaluate the expression when \(x=3\) $$ (3 x)^{4} $$

Make an input-output table for the function. Use 0, 1, 2, and 3 as the domain. $$ y=21-2 x $$

perimeter \(=3 \mathrm{cm}+4 \mathrm{cm}+5 \mathrm{cm}\)

Evaluate the expression for the given value of the variable. $$6 \cdot 2 p^{2} \text { when } p=5$$

CHECKING SOLUTIONS OF EQUATIONS Check whether the given number is a solution of the equation. $$5+x^{2}=17 ; 3$$

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. Three more than half of a number

Evaluate the expression when \(x=3\) $$ 10^{x} $$

Make an input-output table for the function. Use 0, 1, 2, and 3 as the domain. $$ y=5 x $$

. distance \(=(60 \mathrm{mi} / \mathrm{h})(2.3 \mathrm{h})\)

Evaluate the expression for the given value of the variable. $$t^{5}-10 t \text { when } t=3$$

Make an input-output table for the function. Use 0, 1, 2, and 3 as the domain. $$ y=6 x+1 $$

CHECKING SOLUTIONS OF EQUATIONS Check whether the given number is a solution of the equation. $$4 c+2=2 c+8 ; 2$$

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. A number increased by seven

A cubical stereo speaker measures 35 centimeters along each edge. The expression for finding the surface area of a cube is \(6 s^{2}\) where \(s\) is the length of each edge. Find the surface area of the stereo speaker.

simple interest \(=(\$ 100)\left(\frac{0.05}{\text { year }}\right)(2.5\) years \()\)

Evaluate the expression for the given value of the variable. $$13+3 b \text { when } b=7$$

Make an input-output table for the function. Use 0, 1, 2, and 3 as the domain. $$ y=2 x+1 $$

CHECKING SOLUTIONS OF EQUATIONS Check whether the given number is a solution of the equation. $$2 y^{3}+3=5 ; 1$$

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. Quotient of a number and two tenths

Write the expression in exponential form. two cubed

In Exercises 17 and \(18,\) you want to hike a round-trip distance of 10 miles from the Hiouchi Information Center along the Little Bald Hills Trail and back. Calculate how long it will take if you hike at a rate of 1.25 miles per hour. Write a verbal model, provide labels, and write an algebraic model.

Evaluate the expression for the given value of the variable. $$3 r^{2}-17 \text { when } r=6$$

Make an input-output table for the function. Use 0, 1, 2, and 3 as the domain. $$ y=x+4 $$

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. Product of four and a number

The table shows the number of commercial television stations for different years. Make a line graph of the data. Discuss what the line graph shows. $$\begin{array}{|l|c|c|c|c|c|c|}\hline \text { Year } & 1991 & 1992 & 1993 & 1994 & 1995 & 1996 \\ \hline \text { Number of stations } & 1098 & 1118 & 1137 & 1145 & 1161 & 1174 \\ \hline\end{array}$$

Write the expression in exponential form. \(p\) squared

Evaluate the expression for the given value of the variable. \(12 x\) when \(x=5\)

Make an input-output table for the function. Use 1, 1.5, 3, 4.5, and 6 as the domain. $$ y=4 x+2.5 $$

CHECKING SOLUTIONS OF EQUATIONS Check whether the given number is a solution of the equation. $$4 s-4=30-s ; 7$$

The table shows the average fuel efficiency for passenger cars for different years. Make a line graph of the data. $$\begin{array}{|l|l|l|l|l|l|}\hline \text { Year } & 1980 & 1985 & 1990 & 1995 & 1996 \\ \hline \text { Fuel efficiency (miles per gallon) } & 24.3 & 27.6 & 28.0 & 28.6 & 28.7 \\ \hline\end{array}$$

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. Two cubed divided by a number

Write the expression in exponential form. nine to the \(y\) th power

Evaluate the expression for the given value of the variable. $$27-\frac{24}{b} \text { when } b=8$$

Make an input-output table for the function. Use 1, 1.5, 3, 4.5, and 6 as the domain. $$ y=32-3 x $$