# Lesson Worksheet: One-step Equations: Multiplication and Division Mathematics • 6th Grade

In this worksheet, we will practice writing and solving one-step multiplication and division equations in questions including word problems.

**Q4: **

A car was traveling at a speed of 32 meters per second. At that rate, how long would it take for the car to cover a distance of 2,160 meters?

**Q6: **

Given that 1 gallon equals 4 quarts, write and solve an equation to find the number of gallons, , in 68 quarts.

- A,
- B,
- C,
- D,
- E,

**Q8: **

This piece of wrapping paper is too long.

Natalie wants to cut a piece which has an area of 40 cm^{2}.

Write an equation that describes how to find the length of the piece. Use for the length.

- A
- B
- C
- D

**Q10: **

The equation shows the total cost of a trip to the movies in relation to the number of people that attend. If a trip cost $60, how many people attended?

**Q11: **

A plank of wood is 120 inches long. Knowing that there are 12 inches in 1 foot, solve the equation to find , the plankβs length in feet.

**Q12: **

If and , what is the value of ?

- A
- B
- C
- D
- E

**Q13: **

The equation shows how the height, , of a species of bamboo increases after days. Given that the height is measured in centimeters, how much height does the bamboo gain in 5 days?

**Q14: **

The equation represents the total number of golf balls that Michael has in relation to the number of packets that he buys. If Michael bought 3 new packets, how many golf balls would he have?

**Q16: **

If , what is the value of ?

**Q17: **

Determine whether the following statement is true or false: Whatever number you pick, if you multiply both sides of an equation by that number, the solution set remains the same.

- ATrue
- BFalse

**Q18: **

The equation shows the relation between the number of cows, , that Matthew has and the number of bags of feed, , that he needs. If he needs 8 bags of feed, how many cows does he have?

**Q19: **

Use the diagram to solve the equation .

- A
- B
- C
- D
- E

**Q20: **

The product of and 2 is 154. What is the value of ?

**Q21: **

The shown table represents customary system conversions for some capacity units. Write an equation that can be used to find the number of cups in 816 teaspoons, and then solve it.

Capacity Unit | 1 tablespoon | 1 cup |
---|---|---|

Equivalent | 3 teaspoons | 16 tablespoons |

- A,
- B,
- C,
- D,
- E,

**Q22: **

The given table demonstrates the customary system conversions for capacity units. By using this table, write and solve an equation to determine how many gallons there are in 176 pints.

Capacity Unit | 1 quart | 1 gallon |
---|---|---|

Equivalent Capacity Unit | 2 pints | 4 quarts |

- A,
- B,
- C,
- D,
- E,

**Q23: **

Scarlettβs farm has 16 cows. Every month, her cows eat 2,880 bushels of grain. Assuming that there are 30 days in a month, write and solve an equation to determine the number of bushels of grain a single cow eats per month, and then find the number of bushels of grain a single cow eats per day.

- A, 180 bushels per month, 6 bushels per day
- B, 2,896 bushels per month, 96 bushels per day
- C, 2,864 bushels per month, 95 bushels per day
- D, 2,864 bushels per month, 95 bushels per day
- E, 210 bushels per month, 6 bushels per day

**Q24: **

The population of a small town is increasing at a rate of 335 people per year. Write and solve a multiplication equation to find how long it will take the population to increase by 4,020.

- A, 12 years
- B, 12 years
- C, years
- D, 11 years
- E, years

**Q25: **

Given that find the value of .

- A
- B
- C
- D