Write an Equation from Word Problems

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20

• y = 3 + 20x

• y = -3x + 20

• y = -20x + 3

When Phil started his new job, he owed the company $65 for his uniforms. He is earning $13 per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the total money he has y after x hours of work.

• y = 13x - 65

• y = 13x + 65

• y = 65x + 13

• y = 65x + 13

Write an equation that could represent the amount of money in my account

• y = 0x + 3

• y = 3x

• y = x + 3

• y = 3x + 1

Amelia has $100 in her savings account and plans on saving $20 per week. Write an equation to represent this situation.

• y = 100x

• y = 20x

• y = 20x + 100

• y = 100x + 20

Last year in 6th grade, a total of 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. Write an equation that can be used to solve for b, the number of students on each bus. Don't forget to use the format y = mx + b!

• 331 = 6b + 7

• 331 = 7b + 6

• 331 = 6b - 7

Jackie bought 2 pairs of ballet shoes and a tutu from Dance Works. She remembered that tutu was $38 and that the total cost was $148. Which equation can be used to find b, the cost of each pair of ballet shoes?

• 148 = 2b + 38

• 148 = 2b + 55

• 148 = 38 + b

• 148 = 38b

A taxi charge a base fee of $3, plus $1.50 for each mile traveled, x. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

• 30 =1.50x + 3

  x = 18 miles

• 30 = 1.50x - 3

  x = 22 miles

• 30 = 3x + 1.50

  x = 9.5 miles

• 30 = 1.50x + 3

  x = 22 miles

• 30 = 1.50x - 3

  x = 18 miles

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets, x, are $0.50 each.
Write and solve an equation that represents this scenario if she spends $35 in all.

• 35 = 0.50x + 20

  x = 30 ride tickets

• 35 = 0.50x

  x = 30 ride tickets

• 35 = 0.50 + 20x

  x = 1.725 ride tickets

• 35 = 0.50x - 20

  x = 110 ride tickets

• 35 = 0.50x + 20

  x = 110 ride tickets

Scott works on cars. He charges $35 for an appointment fee plus $7 per hour, x. Write and solve an equation that represents this scenario if Scott's car bill was $63.

• 63 = 7x + 35

  x = 4 hours

• 63 = 7x + 35

  x = 14 hours

• 63 = 7x - 35

  x = 14 hours

• 63 = 35x + 7

  x = 1.6 hours

• 63 = 35x + 7

  x = 4 hours