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Problem 56

MULTIPLE CHOICE Which equations are equivalent? I. \(\frac{3}{5} x=3\) II. \(\frac{x}{5}=2\) III. \(2 x=10\) VI. \(-x=-5\) A. I and II B. II and IV C. I, II, and III D. I, III, and IV

Problem 56

In Exercises 54–56, match the real-life problem with an equation. Then solve the problem. A. \(x+15=7\) B. \(15-x=7\) C. \(15+7=x\) D. \(x+15=-7\) The temperature rose 15 degrees to \(7^{\circ} \mathrm{F}\). What was the original temperature?

Problem 56

Write the expression in exponential form. \(x\) to the fifth power

Problem 58

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.

Problem 62

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.

Problem 62

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

Problem 64

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

Problem 67

SOLVING EQUATIONS Solve the equation. (Lesson 3.1) $$ x-(-6)=8 $$

Problem 67

Subtract. $$ 12.44-6.02 $$

Problem 72

Use the distributive property to rewrite the expression without parentheses. $$ (3 x+8)(-2) $$

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