Solving and Classifying Solutions

4(x - 2) + 5 = 4x - 3

• Always True

• Never True

Tags

CCSS.8.EE.C.7A

• Always True

• Never True

Tags

CCSS.8.EE.C.7A

5(x - 2) = 5x + 4

• Always True

• Never True

Tags

CCSS.8.EE.C.7A

7x - 14 = 7(x - 2)

• Always True

• Never True

Tags

CCSS.8.EE.C.7A

Two gyms offer different payment plans.

• Gym A charges a $20 monthly membership fee plus $4 for each class you attend.

• Gym B charges $6 per class with no membership fee.

Ethan sets up the equation:

20 + 4x = 6x

He says, "These plans will never cost the same because Gym A has a membership fee and a lower per-class rate."

Do you agree with Ethan?

• No; they will cost the after 10 classes

• Yes; they are way too different for them to ever be the same at some point.

• No; he just sounds wrong

• Yes; he just makes sense

Tags

CCSS.8.EE.C.7B

Two bakeries sell cupcake boxes.

• Bakery A: Charges 5(x+3) dollars for x boxes of cupcakes (each order comes with 3 bonus cookies).

• Bakery B: Charges 6x dollars per box of cupcakes, no bonus cookies.

Sofia sets up the equation:

5(x + 3) = 6x

She says, “The prices will be the same for some number of boxes.”

Is she correct? Solve and explain.

• No; I don't feel like reading this

• Yes; the prices are the same when buying 15 boxes

• No; they won't be able same they're too different.

• Yes; the prices are the same when buying 3 boxes

Tags

CCSS.7.EE.B.4A

7(y + 3) + 8 = 7y + 29

• One Solution

• No Solution

• Infinite/All Solutions

Tags

CCSS.8.EE.C.7A

7(y + 3) + 8 = 7(y + 3) + 6

• One Solution

• No Solution

• Infinite/All Solution

Tags

CCSS.8.EE.C.7A

7(y + 3) + 8 = 6y + 29

• No Solution

• One Solution

• Infinite/All Solutions

Tags

GA.MA.8.PAR.3.2

Maddie began to solve the equation to the left. When she got to the last line she stopped and said the equation is true for all values of x. How could she tell?

• Yes; she saw that both sides were the same

• No; she's wrong the sides don't equal each other

Tags

CCSS.8.EE.C.7A