Lesson Worksheet: Multistep Equations Mathematics • 7th Grade

In this worksheet, we will practice solving multistep equations over the rational numbers.

Q1:

Find the value of 𝑥 if 𝑥+12=15.

  • A310
  • B107
  • C103
  • D710
  • E310

Q2:

Find the value of 𝑥 if 2𝑥=1.

  • A13
  • B3
  • C12
  • D1
  • E2

Q3:

Find the value of 𝑥 if 12𝑥34=78.

  • A138
  • B813
  • C74
  • D134
  • E413

Q4:

Find the value of 𝑥 if 8𝑥+2=62𝑥.

  • A45
  • B43
  • C52
  • D25
  • E23

Q5:

Find the value of 𝑥 if 2(13𝑥)(3+6𝑥)=57𝑥.

  • A419
  • B56
  • C67
  • D65
  • E65

Q6:

The length of a rectangular piece of land is 1 meter longer than two times the width. The perimeter is 150 meters. Find the dimensions of this rectangular piece of land.

  • AThe width = 763 and the length = 1553.
  • BThe width = 1513 and the length = 743.
  • CThe width = 743 and the length = 763.
  • DThe width = 743 and the length = 1513.
  • EThe width = 763 and the length = 1513.

Q7:

The sum of the weights of three people is 154 kg. If the first person is 2 kg heavier than the second person and the second person is 1 kg lighter than the third person, find each of their weights.

  • AFirst: 1573 kg, second: 1543 kg, third: 1513 kg
  • BFirst: 1513 kg, second: 1543 kg, third: 1573 kg
  • CFirst: 1573 kg, second: 1513 kg, third: 1543 kg
  • DFirst: 1513 kg, second: 1573 kg, third: 1543 kg
  • EFirst: 1543 kg, second: 1513 kg, third: 1573 kg

Q8:

In the following figure, find the measure of all the angles in triangle 𝐴𝐵𝐶.

  • A𝑚𝐴=1857, 𝑚𝐵=5417, and 𝑚𝐶=5347
  • B𝑚𝐴=5417, 𝑚𝐵=1857, and 𝑚𝐶=5347
  • C𝑚𝐴=1877, 𝑚𝐵=5337, and 𝑚𝐶=5407
  • D𝑚𝐴=5337, 𝑚𝐵=1877, and 𝑚𝐶=5407
  • E𝑚𝐴=5407, 𝑚𝐵=5337, and 𝑚𝐶=1877

Q9:

The sum of three consecutive odd numbers is 9. If the first number is 2𝑥, find the value of 𝑥.

  • A2
  • B52
  • C34
  • D12
  • E25

Q10:

The price of 1 kg of oranges is 2pounds more than the price of 1 kg of apples. If the price of 2 kg of oranges and 3 kg of apples equals 20pounds, find the price of 1 kg of each kind.

  • A1 kg of oranges is 245pounds and 1 kg of apples is 345pounds.
  • B1 kg of oranges is 165pounds and 1 kg of apples is 265pounds.
  • C1 kg of oranges is 345pounds and 1 kg of apples is 245pounds.
  • D1 kg of oranges is 265pounds and 1 kg of apples is 165pounds.
  • E1 kg of oranges is 265pounds and 1 kg of apples is 345pounds.

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