Writing Two-Step Equations from Real-World Scenarios

Abigail has $490 in the bank. She deposits $75 a week. What equation could be used to determine the number weeks Abigail will need to have $1090?

• 490x + 75 = 1090

• 75x + 490 = 1090

• 565 + x = 1090

• 75x + 1090 = 490

You borrow $50 from you mom to take your friend out for ice cream. You pay her back at a rate of $1.50 per day. Write an equation that could be used to show how many days (d) it would take to pay your mother back.

• 50x = 1.50

• 1.50/x = 50

• 1.50x = 50

• 50 - x = 1.50

Hannah is an author who wants to publish her first book. It costs $4000 to have her book published. If each book (b) sells for $15. What expression represents the situation?

• 4000 + 15x

• 4000x + 15

• 4015x

• 15 + 4000

The 7th grade class is holding a bake sale to raise money for a field trip. They need to raise at least $500. If they already have $170 saved and they are charging $3 per item at their bake sale. Which 2 inequalities represent the situation.

• 3x + 170 < 500

• 3x < 330

• 3x > 330

• 3x + 170 > 500

Via has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. Which equation represents how long will it take Via to save $64?

• 5x = 14

• 14x + 5 = 64

• 5x + 14 = 64

• 14x = 64

EJ went shopping. He bought an umbrella for $15. He also bought 3 shirts, each of which cost the same amount. Altogether he spent $52.50. What was the cost of one shirt?

• 15 + 3 = 52.50

• 15x + 3 = 52.50

• 18x = 52.50

• 15 + 3x = 52.50

Mike's Bikes charges an initial fee of $10 to rent a bike plus $5 per hour of use. What is the number of hours someone can rent a bike for $25?

• 10x + 5 = 25

• 5x + 10 = 25

• 5x = 10 + 25

• 15x = 25

Talk time phone company charges $0.12 per minute of phone use plus a monthly service fee of $8 for its phone service. If a customer's bill for the month is $38, how many minutes did the customer use the phone?

• 0.12x + 8 = 38

• 8x + 0.12 = 38

• 8.12x = 38

• 0.12x = 38 + 8

The drama club sold tickets to a play for $75 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $11,000, how many tickets were sold?

• 55x + 75x = 11,000

• 55x + 75y = 11,000

• 55x + 75 = 11,000

• 55 + 75x = 11,000

The cost before tax for an order of CDs from Music and More store was $214.60. If the store ordered 20 equally priced CDs, and the total shipping and handling fee was $15, what was the cost of one CD?

• 20x + 15x = 214.60

• 20x + 15 = 214.60

• 20 + 15x = 214.60

• 20x + 15y = 214.60