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.

Q1:

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

  • A12π‘₯=24
  • B10π‘₯=60
  • C3π‘₯=18
  • D4π‘₯=24

Q2:

It takes JamesΒ 5 times longer than it takes Olivia to get to work. If James’s journey is 70 minutes, write an equation for the time (π‘₯) it takes Olivia to get to work. Then solve the equation.

  • A5π‘₯=65, π‘₯=13
  • B75π‘₯=5, π‘₯=15
  • C70π‘₯=5, π‘₯=14
  • D5π‘₯=70, π‘₯=14
  • E65π‘₯=5, π‘₯=13

Q3:

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

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?

Q5:

Jacob 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.

Q6:

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

  • Aπ‘₯4=68, π‘₯=272
  • B68π‘₯=4, π‘₯=17
  • C68π‘₯=4, π‘₯=117
  • D4π‘₯=68, π‘₯=17
  • Eπ‘₯+4=68, π‘₯=64

Q7:

Mia paints one garden chair in 12 minutes. Write an equation for the number of chairs 𝑐 that she could paint in β„Ž hours.

  • A𝑐=112β„Ž
  • B𝑐=15β„Ž
  • C𝑐=5+β„Ž
  • D𝑐=5β„Ž
  • E𝑐=12β„Ž

Q8:

This piece of wrapping paper is too long.

Natalie 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 π‘₯ for the length.

  • Aπ‘₯βˆ’8=40
  • Bπ‘₯=8Γ—40
  • C8Γ—π‘₯=40
  • D8+π‘₯=40

Q9:

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

Q10:

The equation 12𝑝=𝑐 shows the total cost 𝑐 of a trip to the movies in relation to the number of people 𝑝 that attend. If a trip cost $60, how many people attended?

This lesson includes 65 additional questions and 425 additional question variations for subscribers.

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