Exploring Multi-Step Equation Solutions

What is a multi-step equation?

• An equation that does not have an equal sign.

• An equation that can be solved in one step.

• An equation with only one variable.

• An equation that requires more than two steps to solve.

Why do we move variables to one side of the equation?

• To make the equation look simpler.

• To isolate the variable and solve for it.

• To add more steps to the solution.

• To avoid using negative numbers.

What is the result of subtracting 6x from both sides of the equation 7x + 13 = 6x + 7?

• x = -6

• x + 7 = 13

• x = 6

• x + 13 = 7

What is the purpose of checking the solution by substituting the value back into the original equation?

• To make the equation more complex.

• To find a different solution.

• To change the original equation.

• To ensure the solution is correct.

What should you do if you encounter a mistake while solving an equation?

• Ignore the mistake and move on.

• Start over from the beginning.

• Ask someone else to solve it for you.

• Check your work and correct the mistake.

How do you handle a double negative in an equation?

• Treat it as a positive.

• Ignore one of the negatives.

• Treat it as a negative.

• Add the negatives together.

In the equation -x - 8 = x - 4, what operation should be performed to avoid a negative variable?

• Subtract x from both sides.

• Add x to both sides.

• Multiply both sides by -1.

• Divide both sides by 2.

What is the correct solution for the equation -x - 8 = x - 4 after correcting the mistake?

• x = 2

• x = -6

• x = 6

• x = -2

Why is it important to keep the sign to the left of a variable when rewriting an equation?

• To maintain the correct value of the variable.

• To make the equation look nicer.

• To avoid confusion with other variables.

• To simplify the equation.

What should you do if you find that your solution does not satisfy the original equation?

• Check your work for mistakes and correct them.

• Ignore the solution and move on.

• Assume the original equation was wrong.

• Try a different method to solve the equation.