Solving Multi-Step Linear Equations

This video tutorial covers multi-step linear equations, building on one-step and two-step equations. It includes examples with positive and negative values, and the use of the distributive property. The video provides step-by-step solutions and practice problems, emphasizing the goal of isolating x. It also offers tips for checking answers and encourages viewer interaction for further clarification.

What is the primary goal when solving multi-step linear equations?

• To simplify the equation

• To isolate x and find its value

• To find the value of y

• To eliminate fractions

How many steps are typically involved in solving a multi-step equation?

• One step

• Two steps

• Three or more steps

• No steps

When solving the equation 2x + 2x + 1 = 5, what is the first step?

• Subtract 1 from both sides

• Combine like terms

• Divide by 4

• Add 1 to both sides

In the equation 3x + 1 = x + x + 8, what should you do first?

• Subtract 8 from both sides

• Combine x terms on the right

• Add 1 to both sides

• Divide by 3

What is the result of combining x + 3/2x?

• 5/2x

• 1/2x

• 2x

• 3x

How do you solve 2x - 1 = 5 - 8?

• Add x to both sides

• Add 8 to both sides

• Subtract x from both sides

• Subtract 5 from both sides

What is the simplified form of -4x - x?

• 5x

• 3x

• -3x

• -5x

In the equation -15 - 18 = 17x - 5, what is the first step?

• Add 5 to both sides

• Combine like terms

• Subtract 17x from both sides

• Divide by 12

What is the purpose of the distributive property in equations?

• To divide terms

• To add numbers

• To subtract terms

• To multiply a single term across terms in parentheses

How do you apply the distributive property to 3(x + 1)?

• Multiply 3 by x and 1

• Divide x by 3

• Add 3 to x

• Subtract 1 from x