Solving Multistep Linear Equations

The video tutorial explains how to solve a multistep linear equation in one variable. It begins by simplifying both sides of the equation through distribution, then combines like terms. The tutorial proceeds to isolate the variable X by adding or subtracting terms and finally solves for X. The solution is presented in different forms: improper fraction, mixed number, and decimal. The video emphasizes the importance of following the order of operations and provides a step-by-step guide to ensure clarity.

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

• Simplify both sides

• Add constants

• Distribute numbers

• Combine like terms

When distributing a negative number across terms in parentheses, what should you be careful about?

• Multiplying only the first term

• Ignoring the negative sign

• Adding the terms first

• Changing the sign of each term

What operation should be performed before addition or subtraction when simplifying an equation?

• Multiplication

• Division

• Subtraction

• Addition

How do you combine like terms on the left side of the equation?

• Divide them

• Subtract them

• Multiply them

• Add them together

What is the result of combining 8 and -10?

• 2

• -2

• 18

• -18

What is the purpose of adding 4X to both sides of the equation?

• To eliminate the variable

• To simplify the equation

• To balance the equation

• To isolate the variable

What is the final step in solving for X?

• Multiplying by 2

• Subtracting 2

• Adding 2

• Dividing by 2

How can the solution 9/2 be expressed as a mixed number?

• 5 and 1/2

• 3 and 1/2

• 2 and 1/2

• 4 and 1/2

What is the decimal form of 9/2?

• 5.0

• 4.8

• 4.5

• 4.2

In how many ways can the solution be expressed?

• Three

• Four

• One

• Two