Isolating the Variable

To isolate the variable, we must identify the operation happening to the variable and use its __________________.

• inverse

• equivalent

What must we do to isolate the variable.

• Add 18

• Subtract 18

• Multiply by 18

• Divide by 18

What must we do to isolate the variable.

• Add 20

• Subtract 20

• Multiply by 20

• Divide by 20

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

• Evaluate

• Leviate

• Isolate

• Reciprocate

How would you isolate the variable in the following equation?

• Add 4 to both sides, the answer is 16

• Divide both sides by 4, the answer is 3

• Subtract 4 from both sides, the answer is 8

• Multiply both sides by 4, the answer is 48

How would you isolate the variable for the following equation?

• Subtract 9 from both sides. The answer is

  36

• Divide both sides by 9, the answer is

  5

• Divide both sides by 45, the answer is 5

• Multiply both sides by 9, the answer is 5.

How would you isolate the variable in the following equation?

7x = 42

• Multiply both sides by 7, the answer is 294

• Divide both sides by 7, the answer is 6

• Subtract 7 from both sides, the answer is 35

• Add 7 to both sides, the answer is 49

Isolate the equation for x:

• 3x = 3y + 12

• x = 3y + 12

• x = -y + 4

• x = y + 4

Solve the equation 3x + 5 = 2x - 3 for x.

• x = -8

• x = 0

• x = -5

• x = 10

How do we isolate x in the equation below?

• Multiply both sides by 3/2

• Divide both sides by 3/2

• Subtract 2/3 from both sides.