Solving Basic Linear Equations in Word Problems

Marcia has opened a computer store and needs to determine the minimum number of computers she must sell to make a profit. She earns $27 per computer and has monthly expenses of $10,000. The video walks through setting up a profit equation, solving it, and using long division to find that Marcia needs to sell at least 371 computers to make a profit.

How much profit does Marcia make on each computer she sells?

• $35

• $25

• $30

• $27

Tags

CCSS.7.EE.B.4A

What are Marcia's monthly expenses?

• $12,000

• $10,000

• $7,500

• $5,000

What variable is used to represent the number of computers sold?

• y

• n

• z

• x

Tags

CCSS.6.EE.B.6

What is the equation used to calculate Marcia's profit?

• 27x + 10,000

• 27x - 10,000

• 10,000 - 27x

• 10,000 + 27x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the break-even point in terms of profit?

• $10,000

• $5,000

• $1,000

• $0

What operation is performed to isolate x in the equation 10,000 = 27x?

• Division

• Addition

• Subtraction

• Multiplication

Tags

CCSS.HSA.REI.A.1

What is the approximate value of 10,000 divided by 27?

• 373.3

• 370.3

• 372.3

• 371.3

Tags

CCSS.4.NBT.B.6

How many times does 27 go into 100?

• 3

• 2

• 4

• 5

Tags

CCSS.4.NBT.B.6

What is the minimum number of computers Marcia needs to sell to make a profit?

• 370

• 373

• 371

• 372

Why can't Marcia sell a decimal number of computers?

• It would take too long

• Computers are sold in whole units

• It's not practical

• It would be too expensive

Tags

CCSS.6.RP.A.3B