Solving Equations and Labeling Steps

15x + 2(x - 5) = 12x - 20

• x = 2

• x = -5

• x = -2

• x = -10

Which steps are taken to solve the following problem? (Check ALL that apply)

3(2x - 3) + 4 = 2(15 + 2x) +1

• Distributive Property

• Combine Like Terms

• x = x, so all real numbers

• Divide by the number in front of x on both sides

• Move variables to one side

Tags

CCSS.8.EE.C.7A

What step was taken in the following problem?

20x - 12x - 5 = 3

8x - 5 = 3

Tags

CCSS.8.EE.C.7B

Create an "if-then" equation for the following. Explain why it works.

5x + 13 = 3(2x + 11)

Solve for x.

6x - 20 = 2(3x - 10)

• x = 0

• x = x

• x = 20/3

• None of the above.

What did the student do INCORRECTLY when solving the following problem? (Check ALL that apply)

2(3x - 5) = 20x + 3(2x - 4)

3x - 5 = 10x + 1x - 2

3x = 11x +3

14x = 3

x= 3/14

• Nothing. All is correct.

• Forgot to distribute

• Added 11x instead of subtracting 11x

• Divided by 2 incorrectly

Which step is labeled INCORRECTLY for the following?

-2(3x + 2) = 7x - 10

6x + 4 = 7x - 10

4 = 1x - 10

14 = x

• Combine like terms

• Move x's to one side

• Distribute the 2

• Divide by 1

Tags

CCSS.8.EE.C.7B

Is this an example of an "if-then" question? Why or why not? (Must explain to get full points)

12x - 7 = 7 - 2x

5 + 12x - 7 = 7 - 2x - 5

Tags

CCSS.HSA.REI.A.1

Which of the following is the FIRST step to take for the equation below?

4(2x - 5) = 7x - 3(2x + 4)

• Divide by -3

• Add what is inside the parenthesis, then multiple by what is in front

• Move 7x to the opposite side

• Distribute

What is the hardest part in your opinion when solving equations and labeling steps?

What is the easiest part about solving these equations?

(MUST ANSWER BOTH PARTS TO RECEIVE CREDIT)

Tags

CCSS.8.EE.C.7B