Worksheet: Multistep Equations
In this worksheet, we will practice solving multistep equations.
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 hours making brooches. She made 3 fewer star brooches than bow brooches.
Write an equation that can be used to find , the number of star brooches that Amelia made.
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
Natalie likes to do puzzles. It takes her a quarter of an hour longer to solve a hanjie than a sudoku.
Over one weekend, she spent hours solving puzzles. She solved 3 sudokus and 6 hanjies.
Write an equation that can be used to find , the amount of time it takes her to solve a hanjie puzzle.
Solve your equation to find how long it takes Natalie to do a hanjie puzzle.
Elizabeth volunteered to bring potato chips to a school picnic. There are 6 bags of chips in a multipack, and she bought multipacks. She keeps 5 bags of chips for her packed lunches and takes the remaining 37 bags to the party.
How many multipacks did she buy?
Ethan bought an encyclopedia with one-quarter of his birthday money. He used two-fifths of the rest to buy a plant. He has left. How much did he pay for the plant?
If a newborn kitten weighed 100 grams, and her weight increased by 10 grams every day, how many days would it take for her weight to triple?
David and Chloe are traveling by bus. When they got on the bus, there were 45 people, including the two of them. At the next stop, some people got off and 5 people got on; there were then 39 people on the bus.
Write an equation that represents this situation. Let be the number of people who got off the bus at the stop.
Solve your equation to find , the number of people who got off the bus.
A stationery store sells calculators for $7 each. Schools or colleges that make a bulk order pay full price for the first 10 calculators, and they receive a discount of $1 for each additional calculator in the same order.
A school orders calculators at a cost of $112.
Write an equation that can be used to find how many calculators the school bought.
If three times a number is added to ten, the result is the same as the sum of the number and two being multiplied by two.
What is the number?
In order to solve the equation , Mason wrote the next step as . What did he do?
- AHe divided both sides by 4.
- BHe multiplied both sides by 3.
- CHe multiplied both sides by 4.
- DHe added 4 to both sides.
- EHe subtracted 4 from both sides.