Solving Equations with Variables on Both Sides

What is the first step in solving equations with variables on both sides?

• Divide by the coefficient of the variable

• Add or subtract constants

• Look for distributive property

• Combine like terms

In the first example, what operation is performed to move -8x to the other side?

• Divide both sides by 8

• Subtract 8x from both sides

• Multiply both sides by 8

• Add 8x to both sides

After moving the variables to one side in the first example, what is the next step?

• Add or subtract constants

• Divide by the coefficient of the variable

• Combine like terms

• Check the solution

In the second example, what is the result of distributing 2 into the parentheses?

• 3z - 4

• 2z - 4

• 5z - 2

• 6z - 8

What is the final value of z in the second example?

• 8

• 4

• 2

• 6

In the third example, what operation is performed to move 2x to the other side?

• Add 2x to both sides

• Subtract 2x from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the final value of x in the third example?

• 7

• 3

• -7

• -3

In the fourth example, what is the result of distributing 1/4 into 16x?

• 4x

• 16x

• 1/4x

• 8x

What is the final value of x in the fourth example?

• 2

• 4

• 6

• 8

What should you do after finding the solution to an equation?

• Distribute any constants

• Combine like terms

• Check the solution by substituting it back into the original equation

• Move the variables to one side