Solving Multiplication and Division Equations

**Page 1**

1.

Which inequality is represented by the graph?

a. | 9 > 3$y$ | ||

b. | 4$x$ < - 2 | ||

c. | 5$x$ < 10 | ||

d. | 2$x$ > 4 |

Correct answer : (4)

2.

Which of the following is a solution of the equation $x$ - 7 = - 12?

a. | - 5 | ||

b. | 5 | ||

c. | - 19 | ||

d. | 19 |

Correct answer : (1)

3.

Which operation would you use to solve 3$x$ = $\frac{1}{2}$?

a. | divide by $\frac{1}{2}$ | ||

b. | multiply by 2 | ||

c. | divide by 3 | ||

d. | multiply by 3 |

Correct answer : (3)

4.

One out of every five gallons of milk produced worldwide is consumed everyday in the United States. If about 7000000 gallons of milk is consumed a day at this rate, then how much milk is produced per day?

a. | 9000000 gallons | ||

b. | 35000000 gallons | ||

c. | 36000000 gallons | ||

d. | 34000000 gallons |

[Original equation.]

5 x

[Multiply by 5 on both sides.]

[Simplify.]

About 35000000 gallons of milk is produced each day.

Correct answer : (2)

5.

Solve:

- 4$y$ = - 124

a. | 31 | ||

b. | - 31 | ||

c. | - 93 | ||

d. | 62 |

[Original equation.]

[Divide each side by - 4.]

[Simplify.]

Correct answer : (1)

6.

Solve for the variable in the equation.

2$a$ = - 6

a. | - 8 | ||

b. | - 4 | ||

c. | - 3 | ||

d. | 3 |

[Original equation.]

[Divide each side by 2.]

[Simplify.]

Correct answer : (3)

7.

Jim rented a beach cabin at $8 for each day of stay. He paid $64 towards rent. Solve the equation 8$D$ = 64 to find the number of days he stayed in the cabin.

a. | 7 | ||

b. | 9 | ||

c. | 8 | ||

d. | 10 |

[Original equation.]

8 x

[Divide by 8 on each side.]

[Simplify.]

Jim stayed in the cabin for 8 days.

Correct answer : (3)

8.

About $\frac{2}{3}$ of the population of a country owns a car. What is the total population of the country, if there are about 200,000,000 people with cars?

a. | 400,000,000 | ||

b. | 300,000,000 | ||

c. | 600, 000,000 | ||

d. | 200,000,000 |

[Write the data as an equation.]

(3) x

[Multiply each side by 3.]

2

[Simplify.]

[Divide each side by 2.]

[Simplify.]

The total population of the country is 300,000,000.

Correct answer : (2)

9.

Solve the equation $\frac{m}{-4}$ = 6 to find the value of the variable $m$.

a. | - 24 | ||

b. | - 29 | ||

c. | - 27 | ||

d. | - 25 |

[Original equation.]

(- 4) ×

[Multiply each side by - 4.]

[Simplify.]

The value of the variable

Correct answer : (1)

10.

Danielle shopped for 4 hours and purchased 20 dresses. Find the average number of dresses she purchased per hour.

a. | 7 | ||

b. | 6 | ||

c. | 5 | ||

d. | 4 |

4

[Write the data as an equation.]

[Divide each side by 4.]

[Simplify.]

The average number of dresses that Danielle purchased in one hour is 5.

Correct answer : (3)