Chapter 1

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

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

\(b-7\) when \(b=24\)

Evaluate the expression for the given value of the variable. $$\frac{4}{5} \div n+13 \text { when } n=\frac{1}{5}$$

Make an input-output table for the function. Use 1, 1.5, 3, 4.5, and 6 as the domain. $$ y=\frac{9}{x}+10 $$

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. Five squared minus a number

Write the expression in exponential form. $$ 3 \cdot 3 \cdot 3 \cdot 3 \cdot y $$

\(0.5 d\) when \(d=0.5\)

Evaluate the expression for the given value of the variable. $$\frac{9}{10} \cdot y-\frac{3}{10} \text { when } y=\frac{1}{2}$$

Make an input-output table for the function. Use 1, 1.5, 3, 4.5, and 6 as the domain. $$ y=2+\frac{x}{0.5} $$

Is the number given a solution of the equation? $$5 x+2=17 ; 3$$

CHECKING SOLUTIONS OF EQUATIONS Check whether the given number is a solution of the equation. $$m+4 m=60-2 m ; 10$$

Write the verbal phrase as an algebraic expression. Use \(x\) for the variable in your expression. Twenty-nine decreased by a number

Write the expression in exponential form. $$ t \cdot t $$

\(9+p\) when \(p=11\)

Evaluate the expression. $$4+9-1$$

Make an input-output table for the function. Use 1, 1.5, 3, 4.5, and 6 as the domain. $$ y=x^{2}-0.5 $$

Is the number given a solution of the equation? $$12-2 y=6 ; 4$$

CHECKING SOLUTIONS OF EQUATIONS Check whether the given number is a solution of the equation. $$10+\frac{a}{7}=12 ; 14$$

Write the verbal sentence as an equation or an inequality. Nine is greater than three times a number \(s\).

Write the expression in exponential form. $$ c \cdot c \cdot c \cdot c \cdot c \cdot c $$

Evaluate the expression. $$3 \cdot 2+\frac{5}{9}$$

Make an input-output table for the function. Use 1, 1.5, 3, 4.5, and 6 as the domain. $$ y=1.5+x^{2} $$

Is the number given a solution of the equation? $$3 x-4=12-5 x ; 2$$

CHECKING SOLUTIONS OF EQUATIONS Check whether the given number is a solution of the equation. $$p^{2}-5=20 ; 6$$

Write the verbal sentence as an equation or an inequality. Twenty-five is the quotient of a number \(y\) and 3.5

Write the expression in exponential form. $$ 5 \cdot x \cdot x \cdot x \cdot x \cdot x $$

\(3.67 a\) when \(a=2\)

Evaluate the expression. $$6 \div 3+2 \cdot 7$$

A large apple tree may absorb 360 liters of water from the soil per day. The amount of water W absorbed over a short period of time is modeled by the function W = 360d, where d represents the number of days. Copy and complete the table. $$ \begin{array}{|l|l|l|} \hline \text { Input } & \text { Function } & \text { Output } \\ \hline d=1 & W=360 \cdot 1 & W=360 \\ \hline d=2 & W=? & W=? \\ \hline d=3 & W=? & W=? \\ \hline d=4 & W=? & W=? \\ \hline d=5 & W=? & W=? \\ \hline \end{array} $$

Is the number given a solution of the equation? $$2 y+8=4 y-2 ; 5$$

Write the verbal sentence as an equation or an inequality. The product of 14 and a number \(x\) is one.

Write the expression in exponential form. $$ 4 x \cdot 4 x \cdot 4 x $$

\(\frac{6.3}{x}\) when \(x=3\)

Evaluate the expression. $$5+8 \cdot 2-4$$

Translate the verbal sentence into an equation. 3 more than a number is 5

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$x+3=8$$

Write the verbal sentence as an equation or an inequality. Nine less than the product of ten and a number \(d\) is eleven.

Evaluate the power. $$ 10^{2} $$

\(\frac{2}{3} \cdot x\) when \(x=\frac{1}{3}\)

Evaluate the expression. $$16 \div 8 \cdot 2^{2}$$

Translate the verbal sentence into an equation. Twelve is the quotient of a number and 3.

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$n+6=11$$

Write the verbal sentence as an equation or an inequality. Three times the quantity two less than a number \(x\) is ten.

Evaluate the power. $$ 5^{2} $$

\(\frac{d}{12}\) when \(d=60\)

Evaluate the expression. $$2 \cdot 3^{2} \div 7$$

In your collection of 53 stamps, 37 cost less than S.25. Let \(y\) be the number of stamps that cost \(\$ .25\) or more. Which equation models the situation? A. \(53-y=37\) B. \(53+y=37\) C. \(53+37=y\)

Explain why \(F=\frac{9}{5} C+32\) represents a function.

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$p-11=20$$