Solving Multi-Step Equations in Five Steps

The video tutorial covers solving multi-step equations, emphasizing the importance of the order of operations. It provides a step-by-step guide using properties of equality and inverse operations. The instructor models several examples, including combining like terms and distribution, and offers practice problems for students. A real-world problem is also presented to apply the learned concepts.

Why is the order of steps important when solving multi-step equations?

• It helps in organizing the solution.

• It ensures the correct solution is reached.

• It is not important.

• It makes the process faster.

What is the first step in solving a multi-step equation if necessary?

• Use multiplication and division properties.

• Check the solution.

• Simplify each side of the equation.

• Collect variable terms on one side.

Which property is used to collect variable terms on one side of the equation?

• Multiplication property of equality.

• Subtraction property of equality.

• Addition and subtraction properties of equality.

• Division property of equality.

What should you do after finding the value of the variable in a multi-step equation?

• Add more variables.

• Start over.

• Check your solution.

• Simplify the equation again.

In the example where 4.3X = 34.4, what is the value of X?

• 8

• 7

• 9

• 10

What is the result of combining like terms 11X and -4X?

• 15X

• 7X

• 5X

• 3X

If you have the equation 3X - 9 = -9, what is the value of X?

• 3

• -3

• 1

• 0

What is the first step in solving the equation with a denominator?

• Multiply both sides by the denominator.

• Subtract the denominator from both sides.

• Add the denominator to both sides.

• Divide both sides by the denominator.

In the real-world problem, what score is needed on the fifth quiz to achieve a 90 average?

• 90

• 85

• 95

• 100

What is the sum of the first four quiz scores in the real-world problem?

• 350

• 360

• 340

• 330