1-Step and 2-Step Equations Word Problems

1-Step Equations Word Problems

100

Lynn is cooking cookies. The recipe calls for 14 cups of flour. She has already put in 4 cups. How many more cups does she need to put in? Write a let statement and write the equation.

let x= how many more cups of flour are needed What is x+4=14?

200

How many packages of socks can you buy with $80 if one package costs $16? What is the let x statement? What is the equation?

let x= the amount of packages of socks you can buy What is 16x=80

300

Bryan decided to bring his wallet to the bank to cash it in. On the way, he dropped it and lost $2.50. He had $14.84 left in the wallet. How much did he start with? What is the let x statement? What is the equation?

let x= the amount of money he started at x-2.50=14.84?

400

You are on page 286 in a book. If there are 408 pages in the book, how many more do you have to read? What is the let x statement? What is the equation?

let x = amount of pages left x + 286 = 408?

500

Mary and Kate both work at the 7-11. Mary earns $3.94 more than Kate. If Kate earns $17.90 an hour how much does Mary make? What is the let x statement? What is the equation?

let x= how much Mary makes x - 3.94 = 17.90?

1-Step Equations Word Problems

100

Jamie needs to buy enough Gatorade for the whole soccer team. If there are 72 kids on the team and Gatorade comes in cases of 12, how many cases does Jamie need to bring? What is the let x statement? What is the equation?

let x= the # of cases he needs 12x=72?

200

Mrs. Smith bought smelly stickers for her amazing students! The stickers come in packs of 20. If she has 200 students, how many packs of stickers should she order? What is the let x statement? What is the equation?

let x= # of packs of stickers she needs 20x=200?

300

A cab company charges $4 for every mile. If you spent a total of $40, how many miles did you ride the cab for? What is the let x statement? What is the equation?

let x= how many miles you rode in the cab for 4x = 40?

400

How many boxes of envelopes can you buy with $12 if one box costs $3? What is the let x statement? What is the equation?

let x= # of boxes you can buy 3x=12

500

Maria bought tissue boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start? What is the let x statement? What is the equation?

let x= the amount of boxes Maria started with x÷2=22 or x/2=22

Vocabulary

100

What is a "let" statement?

a way to describe what a variable represents

200

What is a variable?

a symbol, usually a letter, used to represent an unknown value

300

What is a constant?

a number

400

What is an equation?

a mathematical sentence stating that two expressions are equal

500

What is an expression?

What is a term or combination of terms and operations An example is, 2x+7.

2-Step Equations Word Problems

100

You bought a pencil case for $5 and four erasers. You spent a total of $25. How much did each eraser cost? What is the let x statement? What is the equation?

let x= the amount of money each eraser costs 5 + 4x = 25?

200

A coffee shop sells ceramic refill mugs for $8.95. Each refill costs $1.50. Last month Rose spent $26.95 on a mug and refills. How many refills did she buy? What is the let x statement? What is the equation?

let x= the amount of refills Rose bought 8.95 + 1.50x = 26.95

300

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip? What is the let x statement? What is the equation?

let x= the amount of students in each bus 9x+4=472

400

Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin? What is the let x statement? What is the equation?

let x= the amount of comic books Jill started with (x/2)+16=36

500

The cost of renting a bike is $10 to take the bike and $4 for every hour it spends in our possession. The final sum Janice paid is $30. How many hours did Janice rent the bike for? What is the let x statement? What is the equation?

let x = the amount of hours Janice rented the bike 10+4x=30?

2-Step Equations Word Problems

100

You bought a light up pen for $10 and eight erasers. You spent a total of $50. How much did each eraser cost? What is the let x statement? What is the equation?

let x= the amount of money each pencil costs 10 - 8x=50?

200

Dominic spent half of his weekly allowance playing mini-golf. To earn more money his parents let him wash their car for $8. What is her weekly allowance if she ended with $24 that week? What is the let x statement? What is the equation?

let x= her weekly allowance (x/2)+8=24?

300

Ashley won 40 lollipops playing hoops at her school's game night. Later, she gave two to each of her friends. She only has 4 remaining. How many friends does she have? What is the let x statement?

let x= the amount of friends she has 2x+4=40

400

You had $20 to spend on four raffle tickets. After buying them you had $12. How much did each raffle ticket cost? What is the let x statement? What is the equation?

let x= the cost of each raffle ticket? 12 + 4x = 20

500

You bought a magazine for $3 and two notepads. You spent a total of $13. How much did each notepad cost? What is the let x statement? What is the equation?

let x= the cost of each notepad 3 + 2x = 13