Solving Multi-Step Linear Equations with Variables

The video tutorial explains how to solve a multistep linear equation in one variable. It begins with simplifying both sides of the equation by distributing terms and combining like terms. The tutorial then demonstrates how to isolate the variable X and solve the equation. Finally, it covers converting the solution into different forms, such as an improper fraction, mixed number, and decimal.

What is the first step in solving a multistep linear equation in one variable?

• Combining like terms

• Simplifying both sides of the equation

• Isolating the variable

• Converting the solution to a decimal

When distributing a negative number, what operation should be performed first?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of distributing -2 to the term (x + 5)?

• 2x - 10

• -2x + 10

• 2x + 10

• -2x - 10

What is the simplified form of 8 - 2x - 10?

• -2 - 2x

• 18 - 2x

• -2x - 18

• 2x - 2

What is the result of combining 5 and 2 on the right side of the equation?

• 3

• 10

• 7

• 2

To isolate the variable term, what should be added to both sides of the equation -2 - 2x = 7 - 4x?

• 4x

• -4x

• 2x

• -2x

What is the next step after obtaining 2x = 9?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

What is the improper fraction form of the solution?

• 4.5

• 4 and 1/2

• 9/2

• 2/9

How many 2s are there in 9 when converting 9/2 to a mixed number?

• 6

• 5

• 4

• 3

What is the decimal form of 9/2?

• 4.6

• 4.5

• 4.4

• 4.2