Solving and Writing Two-Step Equations

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

• h = 2(9) + 15
• 33 = 15h + 2
• h = 15(9) + 2
• 33 = 2h + 15

r divided by 8 is 9

• r/8 = 9
• 8/r = 9
• r = r/8
• 9 = 8/r

9 increased by m is 15

• m + 15 = 9
• 9  + m = 15
• 9 x m = 15
• 9 + 15 = m

Eight less than 7 times a number is the same as 4 more than 3 times the number

• x + 3 = x

• 8 = x + 4 + 3

• 8 - 7x = 4 + 3x

• 7x - 8 = 3x + 4

Twice a number plus 6 is -72

• 2 + 6x =- 72
• 2x + 6 = -72
• 2 + 6 = x
• 2x² + 6 = 72

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

• 4 + 9x = 73
• 4x = 73
• 4x + 9 = 73
• 9x + 4 = 73

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

• 800 + 5x = 4000
• 800x + 5 = 4000
• 4000 + 5x= 800
• 800 + 5 = 4000

A banana has 85 calories. This is 10 calories less than one eighth of the calories in a banana split. Which equations helps you find how many calories are in a banana split?

• 85 - 10 = x
• x/8 + 10 = 85
• x/8 - 10 = 85
• x/8 - 10 = 75

Zorna weighs 92 pounds. Her weight is 6 pounds more than half of her father's weight. Which equation would help me find out how much her father weighs?

• 6x + 2 = 92
• x + 6 = 92
• 2x + 6 = 92
• x/2 + 6 = 92

Mo is thinking of a number. Eleven more than one third of a number is -1. Which equation would help me find Mo's number?

• 1/ 3 + 11 = -1
• 3x + 11 = -1
• 1/3x + 11 = -1
• 1/3x + 11 = 1