Intro to Two-Step Equations

Writing two step equations

How do you write a two step equation?

Example 1

A one year membership to Metro Gym costs $460. There is a one time fee of $40 when you join, and the rest is paid monthly. Write an equation to represent the situation that can help members find how much they per per month.

One time joining fee of $40 Plus 12 times months equals $460

40 + 12m = 460

Example 2

Madison has $50 saved from her birthday. She plans to save an additional 10 each week. How long will it take her to save a total of $100? Write an equation that represents this saving plan.

Amount Madison already has plus $10 per week to get a total of $100

$50 + 10w = 100

Poll

Billy has a gift card with $150 balance. He buys several video games that cost $35 each. After the purchases, his gift card balance is $45. Write an equation to help find out how many video gams Billy bought.

• 150 - 45v = 35

• 150 - 35v=45

Poll

A restaurant sells a coffee refill mug for $6.75. Each refill cost $1.25. Last month Myles spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills that Myles bought.

Hint:

price of mug + amount per refill times the number of refills equals total amount.

• 1.25 + 6.75r=31.25

• 6.75 + 1.25r=31.25

Poll

Val rented a bike while she was on vacation. She paid a flat fee of $55 plus $8.50 each day. The total cost was $123. Write an equation you can use to find the number of days she rented the bike.

• 55-9d=123

• 55+8.50d=123

• 55d + 8.50 = 123