Writing equations

1. Which situation is BEST represented by the equation 5 + 2x = 20?

• Glenda has $5. A skating rink charges $20 to rent skates and $5 per hour (x) to skate. How many hours can Glenda skate?

• Glenda has $5. A skating rink charges $2 to rent skates and $20 per hour (x) to skate. How many hours can Glenda skate?

• Glenda has $20. A skating rink charges $2 to rent skates and $5 per hour (x) to skate. How many hours can Glenda skate?

• Glenda has $20. A skating rink charges $5 to rent skates and $2 per hour (x) to skate. How many hours can Glenda skate?

2. Krystal needs at least $130 to go on a trip. Her father has given her $45. Which inequality could be used to determine e, the remaining amount of money Krystal still needs for the trip?

• 130 + 45 = e

• 130 − 45 > e

• 45 + e ≤ 130

• 45 + e ≥ 130

3. Which situation is best represented by this equation? 35 + 4x = 47

• Lindsey spent a total of $47 on new pens and mechanical pencils. She bought 4 pens and 35 pencils. The pens and pencils were the same price. What is x, the price of each pen and pencil?

• Lindsey spent a total of $47 on her mother for her birthday. She bought a $35 box of chocolates and some balloons for $4 each. What is x, the number of balloons that Lindsey bought for her mother's birthday?

• Lindsey spent a total of $47 from her allowance and $35 earned from mowing lawns on rides at the carnival. Each ride costs $4. What is x, the number of rides Lindsey rode at the carnival?

• Lindsey spent a total of $47 at the grocery store. She bought a bottle of shampoo for $4 and some containers of baby formula for $35 each. What is x, the number of containers of baby formula bought at the grocery store?

4. Alyssa read 25 pages of a new book the first day she bought it. After the first day, she read 5 pages each day. The book has a total of 350 pages. Which equation can be used to determine how many days it will take Alyssa to finish her book?

• 5x = 350

• 5x – 25 = 350

• 25x + 5 = 350

• 5x + 25 = 350

4. Alyssa read 30 pages of a new book the first day she bought it. After the first day, she read 5 pages each day. The book has a total of 400 pages. Which equation can be used to determine how many days it will take Alyssa to finish her book?

• 5x = 400

• 5x – 30 = 400

• 30x + 5 = 400

• 5x + 30 = 400

Gabriel must practice piano at least 15 hours a week. This week he has practiced 6 hours so far. Piano lessons are 2-hours each. Which inequality can be used to find x, the number of lessons Gabriel must attend this week?

• 2x + 6 < 15

• x + 6 > 15

• x + 6 < 15

• 2x + 6 > 15

Gabriel must practice piano at least 25 hours a week. This week he has practiced 6 hours so far. Piano lessons are 7-hours each. Which inequality can be used to find x, the number of lessons Gabriel must attend this week?

• 7x + 6 < 25

• x + 6 > 25

• x + 6 < 25

• 7x + 6 > 25

Barry wanted to save at least $700. He opened a savings account with an initial deposit of $150. After his initial deposit, Barry then deposits the same amount of money each month for 12 months. If he makes no withdrawals, which inequality can be used to determine x, the number of dollars Barry deposited to his account each month?

• 12x + 150 ≥ 700

• 12x − 150 ≥ 700

• 12x + 150 ≤ 700

• 12x − 150 ≤ 700

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y = 15x

• y = 15x + 80

• y = x +15

• y = 80x + 15

A fitness club opens with 40 members. Each month the membership increases by 4 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y = 4x

• y = 4x + 40

• y = x +4

• y = 40x + 4