Equations for Real World

Which situation can be represented by the equation 56 = 2x - 10 ?

• Sam's age is 10 more than twice the age of Teddy's age.  How old is Teddy?

• Sam's age is 10 decreased by twice Teddy's age.  Teddy is 56 years old.  How old is Sam?

• Teddy's age is twice Sam's age decreased by 10 years.  Teddy is 56 years old.  How old is Sam?

• Teddy's age is 10 less than twice Sam's age.  Sam is 56 years old.  How old is Teddy?

Which situation can be represented by the equation 40x + 20 = 200 ?

• Mitch owed Jason $200.  Mitch borrowed $20 more.  If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

• Mitch owed Jason $200.  Mitch already paid Jason back $20.  If Mitch pays back $40 per week, how many weeks will it take him to pay back the money?

• Mitch owed Jason $200.  Mitch borrowed $40 more.  If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

• Mitch owed Jason $200.  Mitch already paid Jason back $40.  If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

June has been saving her weekly allowance for the past 15 weeks.  She started with $100 and now she has $280.  Which equation can be used to find the amount of money, w, June receives for her weekly allowance?

• 100 = 280 + 15w

• 280 - 100w = 20

• 280 = 100 + 15w

• 280 = 100 - 15w

An electrician charges $90 per hour plus a $50 travelling fee.

Your total cost is $275. Write an solve an equation to find how many hours the electrician worked.

• 3 hours

• 2.5 hours

• 4 hours

• 1.5 hours

Jen has three times as much money as Travis. Together they have $336. How much does Jen have?

• $84

• $252

• $112

• $96

A Mustang is 14 years older than a Corvette. The Mustang is twice as old as the Corvette. How old is the Mustang?

• 14 years

• 42 years

• 28 years

• 12 years

The warmest temperature on Thursday is predicted to be 7 degrees more than 2 times the coldest temperature. The warmest temperature is supposed to be 65 degrees. What will the coldest temperature be?

• *c for coldest temperature

  7 + 2c = 65

  c = 29 degrees is the coldest temperature

• *c for coldest temperature

  2c - 7 = 65

  c = 36 degrees is the coldest temperature

• *c for coldest temperature

  2 + 7c = 65

  c = 9 degrees is the coldest temperature

• *c for coldest temperature

  7c - 2 = 65

  c = 9.6 degrees is the coldest temperature

A group of 6 friends went to dinner. EACH friend paid the same price for their dinner & EACH friend had a $5-off discount. The total cost for dinner was $324, AFTER each friend used their discount. What was the cost of each friend’s dinner, BEFORE the discount?

• *c for cost of each friend's dinner before discount

  6(c + 5) = 324

  c = $49 for each dinner before the discount

• *c for cost of each friend's dinner before discount

  6(c - 5) = 324

  c = $59 for each dinner before the discount

• *c for cost of each friend's dinner before discount

  6c - 5 = 324

  c = $54.83 for each dinner before the discount

• *c for cost of each friend's dinner before discount

  6c + 5 =324

  c = $53.17 for each dinner before the discount

The William Allen Middle School play had four shows. The same number of people attended the first 3 shows. On the fourth night, 350 people attended the show. A total of 1,700 people attended in all. How many people attended each of the first three shows?

• *p for # of people who attended the first three shows

  3p + 350 = 1700

  p = 450 people attended the first three shows

• *p for # of people who attended the first three shows

  3(p + 350) = 1700

  p = 217 people attended the first three shows

• *p for # of people who attended the first three shows

  3p - 350 = 1700

  p = 683 people attended the first three shows

• *p for # of people who attended the first three shows

  3(p - 350) = 1700

  p = 917 people attended the first three shows

Brinley rode her bike 11 miles in five hours. She rode the same number of miles each hour for the first 4 hours. She rode 3 miles the fifth hour. How many miles per hour did Brinley ride the bike for the first 4 hours?

• *m for # of miles per hour she rode for the first 4 hours

  5m + 3 = 11

  m = 1.6 miles per hour for the first 4 hours

• *m for # of miles per hour she rode for the first 4 hours

  4(m - 3) = 11

  m = 5.75 miles per hour for the first 4 hours

• *m for # of miles per hour she rode for the first 4 hours

  4m + 3 = 11

  m = 2 miles per hour for the first 4 hours

• *m for # of miles per hour she rode for the first 4 hours

  5(m - 4) = 11

  m = 6.2 miles per hour for the first 4 hours