Lesson Worksheet: Multistep Equations Mathematics • 7th Grade

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

Q1:

Given that 6𝑥+8𝑥+3𝑥+9𝑥=130, find the value of 3𝑥+6.

Q2:

If 4𝑥+9𝑥+3𝑥+2𝑥=108, what is the value of 9𝑥+7?

Q3:

James paid $130 to subscribe to a sports club. The rate for renting a squash court is $30 per game. Since he was a student, he got a $20 discount per game. Given that James spent $360, use the equation 360=30𝑔20𝑔+130 to determine how many games of squash he played, where 𝑔 is the number of games.

Q4:

Fourteen subtracted from three-fifths of a number is twenty-two. What is the number?

Q5:

I think of a number.

I add 13 to it and then divide by 3. The answer is 12. What number did I think of?

Q6:

Find the area of the rectangle with a width of 479 inches and a perimeter of 2223 inches.

  • A625281 in2
  • B523 in2
  • C312681 in2
  • D1113 in2
  • E4513 in2

Q7:

Fifty-two more than one-seventh of a number is thirty-nine less than the product of two and the number.

What is the number?

Q8:

Amelia is making brooches to sell at a craft fair. It takes her 5 minutes to make a star brooch and 7 minutes to make a bow brooch.

On Saturday, she spent 434 hours making brooches. She made 3 fewer star brooches than bow brooches.

Write an equation that can be used to find 𝑦, the number of star brooches that Amelia made.

  • A5(𝑦3)+7𝑦=285
  • B7(𝑦3)+5𝑦=285
  • C7𝑦+5(𝑦+3)=285
  • D5𝑦+7(𝑦+3)=285
  • E3(𝑦+5)+7𝑦=285

Q9:

Two babies were born on the same day. One of them weighed 3 kg and the other 3.6 kg. Per week, the first baby gained 190 grams and the other gained 140 grams. At what age, in weeks, will they weigh the same?

Q10:

Charlotte has $18 in her piggy bank and Isabella has $11. Each week, Charlotte adds 50 cents to her piggy bank, while Isabella adds $1. How many weeks will it take for both girls to have the same amount of money in their respective piggy banks? What will that amount be?

  • A7 weeks, $18
  • B29 weeks, $40
  • C7 weeks, $25
  • D14 weeks, $18
  • E14 weeks, $25

This lesson includes 82 additional questions and 457 additional question variations for subscribers.

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