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. $$ (3 x+8)(-2) $$