Solving Equations with Variables on Both Sides

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

• Isolate the variable

• Move constants to the right side

• Look for the distributive property

• Combine like terms on both sides

When combining like terms, where should you combine them?

• On both sides of the equal sign

• On the right side of the equal sign

• On the same side of the equal sign

• On the left side of the equal sign

In the first example, what is the result of distributing -5 to (1 - 5x)?

• -5 - 25x

• 5 + 25x

• 5 - 25x

• -5 + 25x

What is the next step after combining like terms on both sides?

• Distribute coefficients

• Perform inverse operations

• Move variable terms to the right side

• Move constants to the left side

In the second example, what do you get after distributing 2 to (4x - 3)?

• 8x - 6

• 8x - 3

• 4x - 3

• 4x - 6

What is the result of combining like terms in the second example?

• 8x - 6 = 4 - 2x

• 8x - 6 = 4 + 2x

• 8x - 14 = 4 - 2x

• 8x - 14 = 4 + 2x

In the third example, what happens when you move the variable term to the left?

• The constant term doubles

• The constant term cancels out

• The variable term cancels out

• The variable term doubles

What is the final answer in the third example?

• x = -4

• No solution

• x = 0

• x = 4

In the final example, what is the result of moving the variable term to the left?

• 5p - 8p

• 5p + 14

• 5p - 14

• 5p + 8p

What is the final value of p in the last example?

• p = 6

• p = -6

• p = 3

• p = -3