Solving Linear Equations with Variables on Both Sides of the Equal Sign

To solve an equation, the goal is to __________ the variable on one side.

• Evaluate

• Leviate

• Isolate

• Reciprocate

A letter or symbol that represents an unknown value is called ______________.

• Variable

• Radicand

• Coefficient

• Constant

Solve for x: 
4x + 1 = 7x - 5

• -1

• 2

• 6/11

• 8

Solve for x:
2(3x + 4) + 2 = 4 + 3x

• 2

• -2/3

• 10

• -2

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 (right side)

/2x (right side)

-2x (left side)

Mathematical Equivalence

ON

Describe what was done in each solving step!

• Divide by -10 on both sides

• Step 4

• Subtract 10 from both sides

• Step 3

• Subtract 4x from both sides

• Step 1

• Combine Like Terms

• Step 2

• Distribute

• Step 5

• 6

• -6

• -1

• 3

• 1/2

• 4

• 3

• 1