Creating and Solving Two-Step Equations

Which equation matches the following situation? 331 students went on a field trip. Six buses were filled and 7 students traveled in a car. How many students were in each bus?

• n= # of students in each bus; 6n + 7 =331

• n=# of buses; 6n + 7 =331

• n= # of students in each bus; 6 + 7n =331

• n= # of students in each bus; 6n - 7 =331

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Maxwell rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Maxwell live from the airport? (Write an equation first and solve)

• 18 miles

• 20 miles

• 22 miles

You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?  (Define 'n' and write the equation.) 

• n=total cost of erasers; 5 + 4n = 25
• n=cost of 1 eraser; 5 - 4n = 25
• n=cost of 1 eraser; 5n + 4 = 25
• n=cost of 1 eraser; 5 + 4n = 25

Bonnie spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?  (Define 'n' and write the equation.) 

• n=wkly allowance; 2n-4=12
• n=wkly allowance; 2n+4=12
• n=wkly allowance; n/2-4=12
• n=wkly allowance; n/2+4=12

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

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

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

7 + ^a⁄₃ = 5

• a= -2
• a= -6
• a= 3
• a= 15