Linear Equations to Solve Problems

Solve for x:
6(2x + 1) = 18

• 3

• 17/12

• 1

• 2

We are going to manufacture Whats-Its. The Whats-It machine costs $4000.It also costs $5 for materials and labor for each Whats-It. We are planning to sell our Whats-Its for $12 each. How many Whats-Its must we sell in order to break even? What is the expression for cost?

• 4000+5

• 4000x + 5

• 5x + 4000

• 4000x + 5x

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5

• Subtract 5

• Multiply by 7

• Subtract 7

2x + 1 = 6

What would the first step be in solving this equation?

• Divide by 2

• Subtract 1

• Subtract 6

• Times 2

Solve for x:
7 - 5x = 12

• 1

• -6

• -1

• 6

Solve:
-4x = 24

• 20

• -20

• 6

• -6

Solve:
3(x - 2) = 18

• 6.7

• 4

• 8

• -4

What step would you take to solve this equation?

• Multiply both sides of the equation by 2

• Divide both sides of the equation by 2

• Add 2 to both sides of the equation

• Subtract 2 from both sides of the equation

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91

• x + y = 91
  14.80x + 17y = 6

• x + y = 6
  14.80y + 17x = 91

• x + y = 91
  14.80x+ 17y = 6

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

• 4x + 7y = 578
  x + y = 3365

• 4x + 7y = 3365
  x + y = 578

• 4y + 7x = 578
  x + y = 3365

• 4y + 7x = 3365
  x + y = 578