### 3.2 Multiplication Property of Equality

Problem #

Problem Statement

Problems Similar To

1.

Solve for x

$$2x=20$$

2.

Solve for x

$$\frac{x}{10}=\frac{2}{5}$$

3.

Solve for x

$$-6=\frac{x}{\frac{-5}{6}}$$

4.

Solve for x

$$\frac{-x}{5}=-2$$

5.

Solve for x

$$56=\frac{7x}{8}$$

6.

Solve for x

$$\frac{7x}{4}=\frac{21}{4}$$

7.

Solve for x

$$\frac{\frac{1}{30} \times x}{5}=\frac{1}{15}$$

8.

Natasha bought 9 identical bowling balls, which weighed a total of 54 pounds. How much did each ball weigh?

$$9x=54$$

9.

Your school has a $\$1120$grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is$\$40$. Your school decides to spend $\$600$on books and the remaining amount on magazine subscriptions. How many magazine subscriptions can the school buy? $$40x+600=1120$$ 10. You work part-time at a bookstore. You estimate that you spend$\frac{5}{13}$of your time stocking shelves. You work 34 hours each week. How many hours of your work week do you spend stocking shelves? $$\frac{5}{13} \times 34=x$$ 11. You already have walked 4 miles in an 17 mile trail. If you walk the rest of the trail at the pace of 3 miles in 1 hours, how many hours will it take you to finish the trail? $$17-4=\frac{3}{1} \times x$$ 12. The perimeter of a regular pentagon is 10 cm. Solve an equation to determine the length of each side of the polygon. $$5x=10$$ 13. Pinky spends 1/2 of her allowance on movies. She spends$\$7/2$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

$$\frac{x}{2}=\frac{7}{2}$$