91Ó°ÊÓ

Solve the proportion. Check for extraneous solutions. $$\frac{-2}{a-7}=\frac{a}{5}$$

Solve the proportion. Check for extraneous solutions. $$\frac{u}{3}=\frac{1}{2 u-1}$$

Decide if the data in the table show direct or inverse variation. Write an equation that relates the variables. $$\begin{array}{|c|c|c|c|c|c|}\hline x & 1 & 3 & 5 & 10 & 0.5 \\\\\hline y & 5 & 15 & 25 & 50 & 2.5 \\\\\hline\end{array}$$

Divide. Divide \(5-7 m+3 m^{2}\) by \(m-3\)

Copy and complete the table. If necessary, round to the nearest tenth of a percent. $$\begin{array}{|l|c|c|c|c|c|c|c|c|}\hline \text { Decimal } & ? & 0.2 & ? & 0.073 & 0.666 \ldots & ? & ? & 2 \\\\\hline \text { Percent } & 78 \% & ? & 3 \% & ? & ? & 176 \% & 110 \% & ? \\\\\hline\end{array}$$

Suppose you are 14 years old and your brother is 4 years old. a. In \(t\) years, your age will be \(14+t\). What will your brother's age be? b. Write the ratio of your age in \(t\) years to your brother's age in \(t\) years. Then use long division to rewrite this ratio. c. Use the rewritten ratio to find the ratio of your ages now, in 5 years, in 10 years, in 25 years, in 50 years, and in 80 years. d. Use your answers to part (c). Is the ratio of your ages getting smaller or larger as time goes by? What value do the ratios approach? e. Writing Look at the original form of the ratio and the rewritten form of the ratio. Which form of the ratio makes it easier for you to recognize the trend that you described in part (d)? Explain your choice.

You investigate how long it would take you and a friend to fold 1000 origami cranes. You take 2 minutes to fold 1 crane. Let \(x\) represent the number of minutes it might take a friend to fold 1 crane. Working alone, you would take 2000 minutes to fold 1000 cranes, so your work rate is \(\frac{1}{2000}\) of the job per minute. Find your work rate per hour.

Find the probability. You roll a die. What is the probability that you will roll an odd number?

Simplify the radical expression. $$\sqrt{256}$$

Simplify the radical expression. $$ \sqrt{396}$$