Solving and Writing Two-Step Equations

The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

• 30x + 600 = 1500

• 30x - 600 = 1500

• x + 600 = 1500

• 30x = 1500

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

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?

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

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

Solve   2y - 4 = -10

• y = -7

• y = 3

• y = -3

• y = 7

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

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

Twice a number plus 6 is -72

• 2 + 6x =- 72

• 2x + 6 = -72

• 2 + 6 = x

• 2x² + 6 = 72