Chapter 3

Find the least common denominator of the pair of fractions. $$\frac{5}{6}, \frac{8}{30}$$

Write the expression in exponential form. five squared

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ h+7-6 h $$

Find the opposite of the number. $$ 7.5 $$

SIMPLIFYING EXPRESSIONS Simplify the expression. (Lesson 2.7) $$ 4 y-9+3 y $$

Evaluate the expression for the given value of the variable. $$ 7 \cdot y \text { when } y=8 $$

In Exercises 58 and 59, use the table that shows the sizes (in acres) of the largest city parks in the United States. $$\begin{array}{|c|c|} \hline \text { Park (location) } & {\text { Size (acres) }} \\ \hline \text { Cullen Park (Houston, TX) } & {?} \\ \hline \text { Fairmount Park (Philadelphia, PA) } & {8700} \\ \hline \text { Griffith Park (Los Angeles, CA) } & {4218} \\ \hline \text { Eagle Creek Park (Indianapolis, IN) } & {?} \\ \hline \text { Pelham Bay Park (Bronx, NY) } & {2764} \\ \hline \end{array}$$ Griffith Park is 418 acres larger than Eagle Creek. Write an equation that models the size of Eagle Creek. Solve the equation to find the size of Eagle Creek Park.

Find the least common denominator of the pair of fractions. $$\frac{2}{3}, \frac{4}{7}$$

Write the expression in exponential form. \(t\) cubed

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ 3 w^{2}+2 w-3 w $$

Find the opposite of the number. $$ 5.6 $$

SIMPLIFYING EXPRESSIONS Simplify the expression. (Lesson 2.7) $$ 5 x+6-7 x $$

Evaluate the expression for the given value of the variable. $$ x - 5 \text { when } x=13 $$

Find the least common denominator of the pair of fractions. $$\frac{1}{16}, \frac{9}{20}$$

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

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ a b+4 a-b $$

Find the opposite of the number. $$ -4.9 $$

SIMPLIFYING EXPRESSIONS Simplify the expression. (Lesson 2.7) $$ -2(x+8)+36 $$

Evaluate the expression for the given value of the variable. $$ \frac{x}{4} \text { when } x=56 $$

You thought the balance in your checkbook was \(\$ 53,\) but when your bank statement arrived, you realized that you forgot to record a check. The bank statement lists your balance as \(\$ 47 .\) Let \(x\) represent the value of the check that you forgot to record. Which equation is a correct model for the situation? Solve the correct equation. A. \(53-x=47\) B. \(x-47=53\)

Find the least common denominator of the pair of fractions. $$\frac{14}{54}, \frac{31}{81}$$

Evaluate the expression. \(5+8-3\)

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ 3 s+5 t-2 s+6 t $$

Find the opposite of the number. $$ -16 $$

SIMPLIFYING EXPRESSIONS Simplify the expression. (Lesson 2.7) $$ 5(y+3)+7 y $$

Evaluate the expression for the given value of the variable. $$ x^{3} \text { when } x=6 $$

Find the least common denominator of the pair of fractions. $$\frac{3}{64}, \frac{17}{24}$$

Evaluate the expression. \(32 \cdot 4+8\)

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ x-y+2 x y $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 1 \frac{2}{7}+2 \frac{3}{7} $$

SIMPLIFYING EXPRESSIONS Simplify the expression. (Lesson 2.7) $$ 3(y-10)-5 y $$

Evaluate the expression for the given value of the variable. $$ 4 t^{2} \text { when } t=3 $$

You decide to try to ride the elevator to street level (Floor 0) without pushing any buttons. The elevator takes you up 4 floors, down 6 floors, up 1 floor, down 8 floors, down 3 floors, up 1 floor, and then down 6 floors to street level. Write and solve an equation to find your starting floor.

Find the least common denominator of the pair of fractions. $$\frac{8}{49}, \frac{59}{70}$$

Evaluate the expression. \(5 \cdot(12-4)+7\)

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ -8 m-m^{2}+2 m $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 4 \frac{7}{8}+9 \frac{1}{8} $$

SOLVING EQUATIONS Solve the equation. (Lesson 3.1) $$ 4+y=12 $$

Evaluate the expression for the given value of the variable. $$ (3 x)^{2} \text { when } x=4 $$

The selling price of a certain video is \(\$ 7\) more than the price the store paid. If the selling price is \(\$ 24,\) find the equation that determines the price the store paid. $$ \begin{array}{llll} {\text { (A) } x+7=24} & {\text { (B) } x=7+24} & {\text { (C) } 7-24=x} & {\text { (D) } x=24} \end{array} $$

Evaluate the expression. \(-6 \div 3-4 \cdot 5\)

Subtract. $$ 11.9-1.2 $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 3 \frac{5}{12}+2 \frac{5}{12} $$

SOLVING EQUATIONS Solve the equation. (Lesson 3.1) $$ t-2=1 $$

Evaluate the expression. $$ (10+6) \div 2-3 $$

Which equation is not linear? (F) \(7+x=15\) (G) \(x^{2}=10\) (H) \(3 x-x=1\) (J) \(x=6^{2}\)

Evaluate the expression. \(2-8 \div \frac{-2}{3}\)

Subtract. $$ 15.75-4.25 $$

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 5 \frac{3}{14}+8 \frac{9}{14} $$

SOLVING EQUATIONS Solve the equation. (Lesson 3.1) $$ -14=r+5 $$