Situations to Equations

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Presentation transcript:

Situations to Equations 7.EE.B.4a Solve word problems leading to equations of the form px + q = r and p(x + q) =r, where p, q, and r are specific rational numbers.

I CAN SOLVE MULTI-STEP EQUATIONS DERIVED FROM WORD PROBLEMS. OBJECTIVE I CAN SOLVE MULTI-STEP EQUATIONS DERIVED FROM WORD PROBLEMS.

The cost of renting a mountain bike is a basic fee of $6 plus an additional $2 for each hour that the bike is rented. Write an equation that can be used to find c, the cost of renting a bike for h hours. If you rented a bike for 3 hours, how much did it cost you?

2. Julia has $100 in an account at school 2. Julia has $100 in an account at school. She uses the account to pay for school lunch every day. Every day, $4 is deducted from the account to pay for Julia’s lunch. When the amount in the account is $20, she likes to add money to it. Write an equation that can be used to determine how many days, d, she can buy lunch before adding more money to the account. How many days can Julia buy lunch?

3. It costs $5 to get into an amusement park plus $2 per ride, and Carter has $80 to spend. Write an equation that can be used to find the number of rides n that he can afford? How many rides can Carter ride?

4. Lydia wants to spend 90 hours at volleyball practice this year 4. Lydia wants to spend 90 hours at volleyball practice this year. She has already spent 30 hours. She plans to attend practice 6 hours a week for the rest of the year. Write an equation that describes the total number of hours Lydia will spend at volley ball practice this year. How many weeks has Lydia practiced?

5. A health club charges $32 each month and a one time registration fee of $120. Miguel has spent a total of $280. Write an equation that can be used to determine the number of months m Miguel has been a member of the health club. How many months has Miguel been a member of the club?

6. George was involved in a swim-a- thon fundraiser 6. George was involved in a swim-a- thon fundraiser. He contributed $10 of his own money and his parents promised to pay him $3 for every lap that he swam. Altogether, he raised $97. Write an equation that can be used to find the number of laps n he swam. How many laps did George swam?

7. Jamal had 14 CDs. He gave 3 of his friends each an equal number of his CDs. Then Jamal bought 4 new CDs. Write an equation that can be used to find n, the number of CDs Jamal has now after giving away x CDs to each of his friends. How many CDs does Jamal have if he gave 3 CDs to each of his friends?

8. Julio went to the movie store and bought 2 movies on sale for $5 8. Julio went to the movie store and bought 2 movies on sale for $5.00 off the original price. The original price of each was $18.95. Write an equation that can be used to find t, the total price Julio paid for the two movies. How much did Julio pay for the two movies?

EXIT TICKET A health club charges $32 each month and a one time registration fee of $120. Miguel has spent a total of $280. Which equation can be used to determine the number of months m Miguel has been a member of the health club. How many months has Miguel been a member of the club? 120 + 32m = 280 120 – 32m = 280 120 x 32m = 280 280 + 32m = 120