Unit 12 Lesson 5: Solving Equations with Reciprocals

Solve the equation.

 $5x\ \div\ 6\ =\ 20$  

• x = 24

• x = 900

• x = 16 2/3

• x = 6/100

• x = 4

Solve the equation.

 $24\ =\ \frac{3r}{4}$  

• r = 18

• r = 72

• r = 32

• r = 96

• r = 8

Solve the equation.

 $\frac{2c}{15}=8.8$  

• c = 1.17

• c = 17.6

• c = 4.4

• c = 66

• c = 44

The length of the blue ribbon is two-thirds the length of the red ribbon. Write an equation you can use to find the length r of the red ribbon.

• 2/3r = 30

• r = (2/3) (30)

• 3r = 30/2

• 3/2r = 30

Solve the equation for m.

19m = 266

m = ?

Solve the equation for b.

80 = 16b

b = ?

 $\frac{z}{27}=63$  

Solve the equation for z.
z = ?

Which equation and solution match the word sentence?

6 less than a number n is 7

• n - 6 = 7; n = 1

• 6 - n = 7; n -1

• n - 6 = 7; n = 13

• n + 6 = 7; n = 1

 $\frac{6m}{7}=\ 30$  

Solve the equation for m.

m = ?

Each ticket to the school dance (Mr. Winn & Mr. Maxton already have their matching outfits for The My Pretty Little Pony Dance!) is $4.00. The total amount collected in ticket sales is $332.00. Which equation and solution help you solve for the number of students p attending the dance.

• 4p = 332; p =1328 students

• 4p = 332; p = 83 students