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AIM: Writing Two-Step
 Equations from Word Problems
                        Do Now

  Solve the following equations and SHOW CHECKS!


a.) 6 - 2x = -12       CHECK     b.) -3x + 9 = -12   CHECK




                                                             1
Anticipatory Set
    I have $100 dollars to spend on renting a car for my
    vacation. Please help me choose the better deal out of the
    following two situations.

Situation 1: At Big John‛s Car       Situation 2: At Crazy Carl‛s Car Rental
Rental you can rent a car for 3      you can rent a car for 4 dollars a day
dollars a day and an initial         and an initial payment of $20.
payment of $25.


       LET x = __________________________________________________




                                                                               2
Anticipatory Set
    I have $100 dollars to spend on renting a car for my
    vacation. Please help me choose the better deal out of the
    following two situations.

Situation 1: At Big John‛s Car       Situation 2: At Crazy Carl‛s Car Rental
Rental you can rent a car for 3      you can rent a car for 4 dollars a day
dollars a day and an initial         and an initial payment of $20.
payment of $25.


       LET x = __________________________________________________




                                                                               3
Situation 1: At Big John‛s Car    Situation 2: At Crazy Carl‛s Car Rental
Rental you can rent a car for 3   you can rent a car for 4 dollars a day
dollars a day and an initial      and an initial payment of $20.
payment of $25.

          LET x = ____Number of Days_____________


            Situation 1                         Situation 2




      1.) Which situation is a better deal for me? Why?




                                                                            4
12 less than 15 times x is 18




                                5
Three-Step Agreement Activity:

1.) Write an equation based on the word problem (30 seconds). Come to
an agreement with your partner (30 seconds.)
2.) Solve the equation (45 seconds). Come to an agreement with your
partner (30 seconds)
3.) Check your solution (30 seconds. Come to an agreement with your
partner (20 seconds).




                                                                        6
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___________________




                                                                      7
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___________________




                                                                      8
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___Number of Days________________




                                                                      9
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___Number of Days________________




                                                                      10
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___Number of Days________________



                   7.5x




                                                                      11
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___Number of Days________________



                   7.5x




                                                                      12
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___Number of Days________________



                   7.5x + 85




                                                                      13
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___Number of Days________________



                   7.5x + 85




                                                                      14
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___Number of Days________________



                   7.5x + 85 = 130




                                                                      15
1.) Jamie rented a canoe while she was on vacation. She paid a flat
rental fee of $85.00 plus $7.50 each day. Her total cost was
$130.00. Write an equation to find for how many days she rented
the canoe?
     LET x =___Number of Days________________



                   7.5x + 85 = 130




                                                                      16
2.) Bill‛s allowance is 5 dollars a week and he already has $65 in his
bank account. Write an equation to find how many weeks it will take
for him to have $255 in his bank account?
    LET x =___________________




                                                                         17
3.) Martin can buy a pair of inline skates and safety equipment
for $49.50. At a roller rink, Martin can rent a pair of inline
skates for $2.50 per day, but he still needs to buy safety
equipment for $19.50. Write an equation to find how many days
Martin would have to skate to pay as much to pay as much to
rent skates and buy safety equipment as he would to buy both?

    LET x =___________________




                                                                  18
Extra Practice




                 19
BEFORE YOU LEAVE

How do you decide what to make the variable be equal to?




                                                           20
Mr. Tjersland's Math 7




Homework: Homework Sheet




                                 21
AIM: Writing Two-Step
 Equations from Word Problems



2.) Bill‛s allowance is 5 dollars a week and he already has $65 in his
bank account. Write an equation to find how many weeks it will take
for him to have $255 in his bank account?
    LET x =___________________




                                                                         22

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Day 10 two step translate

  • 1. AIM: Writing Two-Step Equations from Word Problems Do Now Solve the following equations and SHOW CHECKS! a.) 6 - 2x = -12 CHECK b.) -3x + 9 = -12 CHECK 1
  • 2. Anticipatory Set I have $100 dollars to spend on renting a car for my vacation. Please help me choose the better deal out of the following two situations. Situation 1: At Big John‛s Car Situation 2: At Crazy Carl‛s Car Rental Rental you can rent a car for 3 you can rent a car for 4 dollars a day dollars a day and an initial and an initial payment of $20. payment of $25. LET x = __________________________________________________ 2
  • 3. Anticipatory Set I have $100 dollars to spend on renting a car for my vacation. Please help me choose the better deal out of the following two situations. Situation 1: At Big John‛s Car Situation 2: At Crazy Carl‛s Car Rental Rental you can rent a car for 3 you can rent a car for 4 dollars a day dollars a day and an initial and an initial payment of $20. payment of $25. LET x = __________________________________________________ 3
  • 4. Situation 1: At Big John‛s Car Situation 2: At Crazy Carl‛s Car Rental Rental you can rent a car for 3 you can rent a car for 4 dollars a day dollars a day and an initial and an initial payment of $20. payment of $25. LET x = ____Number of Days_____________ Situation 1 Situation 2 1.) Which situation is a better deal for me? Why? 4
  • 5. 12 less than 15 times x is 18 5
  • 6. Three-Step Agreement Activity: 1.) Write an equation based on the word problem (30 seconds). Come to an agreement with your partner (30 seconds.) 2.) Solve the equation (45 seconds). Come to an agreement with your partner (30 seconds) 3.) Check your solution (30 seconds. Come to an agreement with your partner (20 seconds). 6
  • 7. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___________________ 7
  • 8. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___________________ 8
  • 9. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___Number of Days________________ 9
  • 10. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___Number of Days________________ 10
  • 11. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___Number of Days________________ 7.5x 11
  • 12. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___Number of Days________________ 7.5x 12
  • 13. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___Number of Days________________ 7.5x + 85 13
  • 14. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___Number of Days________________ 7.5x + 85 14
  • 15. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___Number of Days________________ 7.5x + 85 = 130 15
  • 16. 1.) Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130.00. Write an equation to find for how many days she rented the canoe? LET x =___Number of Days________________ 7.5x + 85 = 130 16
  • 17. 2.) Bill‛s allowance is 5 dollars a week and he already has $65 in his bank account. Write an equation to find how many weeks it will take for him to have $255 in his bank account? LET x =___________________ 17
  • 18. 3.) Martin can buy a pair of inline skates and safety equipment for $49.50. At a roller rink, Martin can rent a pair of inline skates for $2.50 per day, but he still needs to buy safety equipment for $19.50. Write an equation to find how many days Martin would have to skate to pay as much to pay as much to rent skates and buy safety equipment as he would to buy both? LET x =___________________ 18
  • 20. BEFORE YOU LEAVE How do you decide what to make the variable be equal to? 20
  • 21. Mr. Tjersland's Math 7 Homework: Homework Sheet 21
  • 22. AIM: Writing Two-Step Equations from Word Problems 2.) Bill‛s allowance is 5 dollars a week and he already has $65 in his bank account. Write an equation to find how many weeks it will take for him to have $255 in his bank account? LET x =___________________ 22