Writing TwoStep Equations Warm Up For 9 x 25 88 Deena wrote the situation I bought some shirts at the store for 9 each and received a 25 discount My total bill was 88 How many shirts did I buy ID: 774009
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Writing Two-Step Equations
Warm Up For 9 x + 25 = 88, Deena wrote the situation “I bought some shirts at the store for $9 each and received a $25 discount . My total bill was $88. How many shirts did I buy ?” 1. What mistake did Deena make? 2. Rewrite the equation to match Deena’s situation . How could you rewrite the situation to make it fit the equation ?
More than one operation may be needed to represent a situation as an equation. A variable represents what is unknown in a problem. The words of a problem can be translated into numbers, variables , and operations. The order in which numbers are presented in an equation does not have to match the order that numbers occur in the problem statement. A verbal description can be written to represent a two-step equation.
A taxi driver charges $2 plus $1.25 for each mile. He charges a customer $ 17 for a ride. Write an equation that would help the customer find the distance she traveled in the taxi.
A two-year membership to Metro Gym costs $ 460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equation to represent what you will pay monthly for the two year membership.
Write a corresponding real-world problem to represent 80 - 3 x = 53.
Yvette is starting a jewelry business. She spends $120 on supplies and makes 18 necklaces. She wants to earn a profit equal to 3 times the amount she spent on supplies. Use this information to write 3 different equations that Yvette could use to determine how much she should charge for each necklace.
Sandy charges each family that she babysits a flat fee of $ 10 for the night and an extra $5 per child. Kimmi charges $25 per night, no matter how many children a family has . a. Write a two-step equation that would compare what the two girls charge and find when their fees are the same . b. How many children must a family have for Sandy and Kimmi to charge the same amount? c . The Sanderson family has five children. Which babysitter should they choose if they wish to save some money on babysitting, and why?
Exit Ticket Joaquin is ordering 5 identical sandwiches and a bag of chips . The bag of chips costs $1.25, and the entire order costs $38.75 . Write an equation you can use to find the price of a sandwich . The drama club is planning a field trip. Two-thirds of the drama club will attend, in addition to 8 teachers. There are 48 people going on the field trip . Write an equation you can use to find the number of students in the drama club . Write a real-world problem that corresponds to the equation 200 - 7 x = 95 . Write a real-world problem that corresponds to the equation 10 x + 30 = 100 .