SOAR Alg1 | 2-4 Solving Equations: Variable on Both Sides

Multiple Choice

What general strategy should you use to solve equations with the variable on both sides?

• Divide both sides by the variable to cancel it out.

• Subtract all numbers from both sides and leave the variables where they are.

• Group all variable terms on one side and all numbers on the other.

• Multiply both sides by the largest number in the equation.

Multiple Choice

What's the first step to solve this equation:

$$6x-2=3x+7$$

• Subtract 3x from both sides.

• Add 2 to both sides.

• Subtract 7 from both sides.

• Divide both sides by 3.

Reorder

Put the steps in order to solve this equation.

$$4x-1=2x+5$$

• Subtract 2x from both sides:

  $$2x-1=5$$

• Add 1 to both sides:

  $$2x=6$$

• Divide both sides by 2:

  $$\frac{2x}{2}=\frac{6}{2}$$

• Simplify:
  $$x=3$$

1

2

3

4

• 1
• 2
• 3
• 4

Draw

Solve this equation:

$$10x-3=6x+5$$

Use the blank canvas to show your work.

Multiple Choice

What is the solution to this equation?

$$9x+2=4x+12$$

• $$x=2$$

• $$x=3$$

• $$x=4$$

• $$x=5$$

​https://www.youtube.com/watch?v=eZsyV0ISzV8

Multiple Choice

What does it mean to isolate the variable?

• To eliminate all numbers from the equation.

• To multiply both sides of the equation by the variable.

• To rearrange the equation so that the variable appears on both sides.

• To get the variable alone on one side of the equation.

Multiple Choice

What's the first step to solve this equation:

$$8y+2=10y-4$$

• Subtract 2 from both sides

• Subtract 8y from both sides.

• Add 4 to both sides.

• Divide both sides by 8.

Draw

Solve this equation:

$$8y+2=10y-4$$

Use the blank canvas to show your work.

Multiple Choice

What is the solution to this equation?

$$3y+3=5y-1$$

• $$x=2$$

• $$x=3$$

• $$x=4$$

• $$x=5$$