Mastering Multi-Step Equations in Five Steps

The video tutorial focuses on solving multi-step equations, emphasizing the importance of the order of steps. It provides a detailed explanation of the steps involved, including simplifying each side, using properties of equality, and checking solutions. The instructor models several example problems, offers student practice exercises, and concludes with a real-world application problem. The lesson is designed for Algebra 1 students to reinforce their foundational skills in solving equations.

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

• It helps in guessing the solution.

• It ensures the solution is correct.

• It is not important.

• It makes the process faster.

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

• Simplifying each side of the equation.

• Using multiplication and division properties.

• Collecting variable terms on one side.

• Checking the solution.

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

• Multiplication property of equality.

• Distributive property.

• Division property of equality.

• Addition and subtraction properties of equality.

What should you do if you have 2x = 10 and you need to find the value of x?

• Multiply both sides by 2.

• Subtract 2 from both sides.

• Divide both sides by 2.

• Add 10 to both sides.

In the example where 4.3x - 15 = 19.4, what is the value of x?

• 12

• 10

• 8

• 4

When combining like terms, what is the result of 11x - 4x?

• 7x

• 15x

• 5x

• 3x

What is the inverse operation of subtracting 18?

• Multiplying by 18

• Adding 18

• Dividing by 18

• Subtracting 18 again

In the practice problem, what is the value of x if 1/3x = -10?

• -30

• 30

• -10

• 10

What is the first step to solve the equation with a denominator?

• Add the denominator to both sides.

• Subtract the denominator from both sides.

• Divide both sides by the denominator.

• Multiply both sides by the denominator.

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

• 85

• 100

• 90

• 95