Worksheet: Writing and Solving Multiplication Equations

In this worksheet, we will practice solving one-step multiplication equations by dividing by the number next to the variable on the two sides of the equation.

Q1:

Fish A is 2 times as long as fish B. Write an equation to determine the length of fish B if fish A is 6 meters long, and then solve it.

  • A 4 π‘₯ = 2 , 2
  • B 6 π‘₯ = 2 , 3
  • C 2 π‘₯ = 4 , 2
  • D 2 π‘₯ = 6 , 3
  • E 8 π‘₯ = 2 , 4

Q2:

Which of the following equations does NOT belong with the others?

  • A 1 0 π‘₯ = 6 0
  • B 4 π‘₯ = 2 4
  • C 3 π‘₯ = 1 8
  • D 1 2 π‘₯ = 2 4

Q3:

Solve for π‘₯ 2 9 π‘₯ = 1 3 : .

  • A π‘₯ = 5 9
  • B π‘₯ = 2 3
  • C π‘₯ = 2 2 7
  • D π‘₯ = 1 1 2
  • E π‘₯ = 1 9

Q4:

Solve for π‘₯ : 2 1 = 1 1 2 π‘₯ .

Q5:

Shady bought five bars of chocolate of the same kind, each of the same price. If is the cost of each chocolate bar, solve to determine .

Q6:

It takes Ramy 5 times longer than it takes Dalia to get to work. If Ramy’s journey is 70 minutes, write an equation for the time it takes Dalia to get to work. Then solve the equation.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q7:

Solve 2 3 π‘₯ = 5 .

  • A π‘₯ = 5 2 3
  • B π‘₯ = 2 1 5
  • C π‘₯ = 3 1 3
  • D π‘₯ = 7 1 2
  • E π‘₯ = 4 1 3

Q8:

Yara has $112 and spends $14 each day. How long will it be until she has no money left?

Q9:

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?

Q10:

Is the equation true or false if 𝑑 = 1 2 ?

  • Atrue
  • Bfalse

Q11:

Bassem wants to buy a smartphone that costs $304. If he saves $38 each week, determine in how many weeks he will be able to buy the smartphone.

Q12:

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

  • A 6 8 π‘₯ = 4 , π‘₯ = 1 7
  • B 6 8 π‘₯ = 4 , π‘₯ = 1 1 7
  • C π‘₯ 4 = 6 8 , π‘₯ = 2 7 2
  • D 4 π‘₯ = 6 8 , π‘₯ = 1 7
  • E π‘₯ + 4 = 6 8 , π‘₯ = 6 4

Q13:

A rectangle has an area of 9 1 6 square inches and a length of 6 1 3 inches. Solve the equation 9 1 6 = 6 1 3 Γ— 𝑀 to find the width 𝑀 of the rectangle.

  • A 𝑀 = 1 2
  • B 𝑀 = 3 8 5 5
  • C 𝑀 = 1 1 2
  • D 𝑀 = 1 1 7 3 8
  • E 𝑀 = 2 5 6

Q14:

Ramy and Amir ran a race. Ramy’s time was 12 minutes, which was of Amir’s time. Using for Amir’s time, write an equation for and then solve it.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q15:

Solve π‘₯ 6 . 5 = 5 . 5 .

Q16:

Dina paints one garden chair in 12 minutes. Write an equation for the number of chairs that she could paint in hours.

  • A
  • B
  • C
  • D
  • E

Q17:

This piece of wrapping paper is too long.

Yasmine wants to cut a piece which has an area of 40 cm2.

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

  • A
  • B
  • C
  • D

Q18:

A rectangle’s width is one-sixth of its length. Given that the rectangle’s width is 9 inches, determine its length.

Q19:

The currency in Switzerland is called a franc. On a certain day, one US dollar equaled 1 1 4 Swiss francs. Write and solve a multiplication equation to find the number of US dollars that would equal 25 Swiss francs.

  • A 2 5 = 1 1 4 Γ— 𝑛 , 𝑛 = 4 5
  • B 2 5 = 1 1 4 Γ— 𝑛 , 𝑛 = 5
  • C 1 1 4 = 2 5 Γ— 𝑛 , 𝑛 = 3 1
  • D 2 5 = 1 1 4 Γ— 𝑛 , 𝑛 = 2 0
  • E 𝑛 2 5 = 1 1 4 , 𝑛 = 5 0 0

Q20:

The equation 1 2 𝑝 = 𝑐 shows the total cost 𝑐 of a trip to the cinema in relation to the number of people 𝑝 that attend. If a trip cost $60, how many people attended?

Q21:

A plank of wood is 120 inches long. Knowing that there are 12 inches in 1 foot, solve the equation 1 2 𝑑 = 1 2 0 to find 𝑑 , the plank’s length in feet.

Q22:

If 𝑒 β‰  0 and π‘₯ 𝑒 = βˆ’ 1 , what is the value of π‘₯ ?

  • A 𝑒
  • B βˆ’ 1 𝑒
  • C βˆ’ 1
  • D βˆ’ 𝑒
  • E 1 𝑒

Q23:

In the equation , the independent variable represents the total number of paintings that Dalia can make in weeks. After 6 weeks, how many paintings will Dalia have made?

Q24:

The equation shows the time, , in minutes, that it takes Dina to run miles. How many minutes does it take her to run 3 miles?

Q25:

The equation β„Ž = 4 𝑑 shows how the height, β„Ž , of a species of bamboo increases after 𝑑 days. Given that the height is measured in centimeters, how much height does the bamboo gain in 5 days?

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