Choosing Equations from Real World Problems

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

Chris saved $8 every 2 weeks. If he needs to save up $40 to buy a new skateboard, how many weeks will it take him?

• 8 weeks

• 10 weeks

• 12 weeks

• 20 weeks

Tags

CCSS.6.RP.A.3B

After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?

• n + $5.12 = $27.10

• n - $5.12 = $27.10

• n - $5.12 = -$27.10

• $5.12 - n = $27.10

Tags

CCSS.HSA.CED.A.3

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15

• 2x + 5=15

• x + 2(5) = 15

• 2(x + 5) = 15

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill? The equation is y=0.20x+15. What does the y mean?

• amount of minutes

• total cost

• cost per minute

• variable

• flat fee

Tags

CCSS.HSF.LE.B.5

A restaurant says that for each minute you wait, 0.50 cents will be taken off the cost of your meal. You buy a steak that costs $26.00.

Write a linear equation that represents the cost of the steak.

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Paul the plumber charges $25 for a service call.  He then charges $100 an hour.  

Write a linear equation to model the total cost of hiring Paul the plumber.

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Click on the picture for the question

• A

• B

• C

• D

Tags

CCSS.8.EE.C.8C

Mathematical Equivalence

ON

Answer explanation

y = x + 8 | This tree is 8 feet tall and growing 1 foot each year.

y = x/2 + 10 | This tree is 10 feet tall and growing 1/2 foot each year.

Substitute x + 8 for y in 2nd equation

x + 8 = x/2 + 10

x - x/2 + 8 -8 = x/2 - x/2 + 10 -8

x/2 = 2 | x = 4 years

Tags

CCSS.8.EE.C.8C

Martin had $220 in his savings account when he decided to start saving more money for a new bike. He decided put $50 into his account each month. Write a linear equation to match this situation.

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2