Isolating Variables on One Side

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

• Evaluate

• Leviate

• Isolate

• Reciprocate

Tags

CCSS.6.EE.B.7

What are inverse operations?

• Absolute values

• Opposite operations used in isolating a variable

• Operations used for only inequalities

• Unknown quantity represented by a letter or symbol

Tags

CCSS.HSA.REI.A.1

Given the equation 8x + 5 = 3x + 15 After isolating the variable on one side of the equation, and the constant on the other side, your new equation to solve for x would be...?

• 5x = 10

• 11x = 10

• 5x = 20

• 10x = 20

Given the equation

3x + 11 = 2x - 5

The new equation after isolating the variable on one side and the constant on the other would be...?

• 5x = -6

• 5x = -16

• x = -16

• x = 6

What is the solution to the equation -4x-14=6?

• 5

• 2

• -5

• 24

Tags

CCSS.7.EE.B.4A

Solve: - 7(z - 6) = - 80

Tags

CCSS.7.EE.B.4A

Solve for y in terms of x: 3x - 4y = 10

• y = -3x + 10

• y = 0.75x + 2.5

• y = -3/4x + 10

• y = 3/4x - 2.5

Tags

CCSS.6.EE.C.9

Given the equation

6x -9 = 8x + 11

The new equation, after isolating the variable on one side and the constant on the other would be...?

• -2x = 2

• 2x = -20

• -2x = -20

• 2x = 20

Given the equation 0.5x - 3.5 = 0.2x - 0.5 The new equation, after isolating the variable on one side and the constant on the other would be...?

• 0.7x = 4

• 0.3x = 4

• 0.7x = 3

• 0.3x = 3

Given the equation

5x - 10 + x = 6x + 18 - 4x

After combining like terms, and isolating the variable to one side and the constant to the other, you are left with the equation...?

• 7x =28

• 3x = 18

• 4x = 28

• -4x = 8