Solving Multi-step Equations Effectively

What is the first step in solving multi-step equations?

• Combining like terms

• Distributing

• Moving variables

• Solving the simplified equation

When combining like terms, what must be true about the terms?

• They must have the same coefficient

• They must be on the same side of the equation

• They must have the same variable raised to the same power

• They must be constants

In the equation 2(3x - 3) = 9x + 9, what is the result after distributing?

• 6x - 6 = 9x + 9

• 3x - 3 = 9x + 9

• 6x - 6 = 9x - 9

• 6x - 3 = 9x + 9

What operation should you perform to move a variable term from one side of the equation to the other?

• Addition

• Subtraction

• Multiplication

• Division

After distributing and combining like terms, what is the next step if there are variables on both sides of the equation?

• Check for parentheses

• Solve the simplified equation

• Move the variable terms to one side

• Combine constants

In the equation 16 - 8F = 12 - 6F, what should you do after combining like terms?

• Move the constants to one side

• Move the variable terms to one side

• Distribute

• Solve the simplified equation

What is the final step in solving a multi-step equation?

• Distributing

• Moving variables

• Combining like terms

• Solving the simplified equation

What should you do if there is a constant on the same side as the variable?

• Add it to both sides

• Subtract it from both sides

• Multiply it by both sides

• Divide it by both sides

In the equation 5H + 80 = 135, what is the value of H after solving?

• 13

• 15

• 10

• 11

In the equation -2(9H - 40) + 11H = 79 - 4(3H - 14), what is the result after distributing?

• -18H - 80 + 11H = 79 + 12H - 56

• -18H - 80 + 11H = 79 - 12H - 56

• -18H + 80 + 11H = 79 - 12H + 56

• -18H + 80 + 11H = 79 + 12H + 56