Solve Two-Step Equations and Algebra

Write an equation to solve the following word problem:

James earned a total of $900 last week. This total was $10 less than five times the amount he earned last week. How much money did James earn last week?

• 5x - 10 = 900

• 10 - 5x = 900

• 5x + 10 = 900

Write an equation to solve the following word problem:

Samantha went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $22, then how many games did Shakira bowl?

• 3x + 4.75 = 22

• 22x + 3 = 4.75

• 22 = 4.75x + 3

Write an equation to solve the problem.

Kaya rented a limousine for prom. There was a one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was $347.50. How many hours did Kaya rent the limo for?

• 347.50 = 100x + 45

• 347.50 = 45x + 100

• 347.50 - 100 = 45x

• 347.50 + 45x = 100

Write an equation to solve the problem.

At a pizza eating competition, Davonne at two more than twice as many slices as the runner-up. If Davonne at 11 slices, then how many slices did the runner-up eat?

*This question has more than one correct answer*

• 11 = 2r + 2

• 11 + 2 = 2r

• 11 - 2 = 2r

• 2r + 2 = 11

Write an equation to solve the problem.

Ronnie charged his customers a flat fee of $25 to fix computers. Then he charged $20 for each hour that he spent fixing the computer. If Ronnie made $175 off of his first customer, how many hours did he spend working?

• 20c - 25 = 175

• c/20 + 25 = 175

• 20c + 25 = 175

Solve the equation.

20c + 25 = 175

Solve the equation.

5x - 10 = 900

When solving the following equation, what's the first step?

11 = 2r + 2

• Subtract 2 from both sides of the equation

• Add 2 to both sides of the equation

• Divide both sides of the equation by 2

• Multiply both sides of the equation by 2

When solving the following equation, what is the second step you need to complete?

4.75x + 3 = 22

• Add 3 to both sides of the equation

• Subtract 3 from both sides of the equation

• Divide both sides of the equation by 4.75

• Multiply both sides of the equation by 4.75

Solve the equation.

45x + 100 = 347.50

• x = 10

• x = 5.5

• x = 7.5

• x = 447.50