Solving Linear Equations with Variables on Both Sides and Parentheses

Choose all of the following options that are possible first steps when solving 2(10 + 12x) = 3 + 9x

• Subtract 3 from both sides of the equation

• Distribute the 2 inside the parentheses to 12x

• Subtract 9x from the right side only

• Distribute the 2 inside the parentheses to 10

• Divide by 2 on both sides

Equations with variables on both sides are best solving using....

• Inverse Operations

• Division

• Multiplication

• Parenthesis

Looking at the equation x + 5 = 3x -1 tells me that I can perform which step first...

• Subtract 5 from both sides of the equals sign

• Add x to both sides of the equals sign

• Add 3x to both sides of the equals sign

• Subtract 1 from both sides of the equals sign

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B

Describe what was done in each solving step!

• Distribute

• Step 4

• Subtract 4x from both sides

• Step 2

• Divide by -10 on both sides

• Step 1

• Combine Like Terms

• Step 5

• Subtract 10 from both sides

• Step 3

3x + 10 + 2x = 2 (x + 8)

5x + 10 = 2x + 16

What is the next step? Drag the correct part under the equation. Be sure to put the one labeled left on the left.

d

a

/2x (left side)

/2x (right side)

-2x (left side)

-2x (right side)

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B

Mathematical Equivalence

OFF

Tags

CCSS.7.EE.B.4A

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B