Algebra Review Solving with Variables on Both Sides

Which equation is represented by the algebra tiles in the picture shown?

• -4x + 7 = 2x - 5

• 7 + 4x = 2x + 5

• 4x + 7 = -2x + 5

• -4x - 7 = 2x + 5

Solve the following equation for p.

−0.75p − 4 = 0.25p

• p = -4

• p = 4

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 for the variable

• 4

• -10

• 1

• -1

Describe what was done in each solving step!

• Subtract 4x from both sides

• Step 3

• Divide by -10 on both sides

• Step 2

• Distribute

• Step 1

• Subtract 10 from both sides

• Step 4

• Combine Like Terms

• Step 5

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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 (right side)

/2x (left side)

-2x (right side)

-2x (left side)

Solve the equation for the variable