Equations on Both Sides of the Equations

3y - 8 = 7y

• y = 4

• y = -4

• No Solution

• Infinite Solutions

10x + 9 = 4x - 9

• x = 0

• x = 3

• x = -3

• x = -18

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

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 (left side)

/2x (left side)

-2x (right side)

/2x (right side)

Mathematical Equivalence

ON

Describe what was done in each solving step!

• Combine Like Terms

• Step 3

• Distribute

• Step 1

• Subtract 4x from both sides

• Step 2

Solve for f:
f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

6x + 10 = 2(3x + 4)

• x = 0

• x = 2

• No solutions

• Infinite solutions