Solving Linear Equations and Fractions

This video tutorial explains how to solve a linear equation with variables on both sides by isolating the variable. It covers the decision-making process for eliminating terms, simplifying the equation, and solving a two-step equation. The tutorial also demonstrates converting the solution into a mixed number and emphasizes the importance of verifying the solution.

What is the first step in solving a linear equation with variables on both sides?

• Multiply both sides by zero

• Add the variables together

• Isolate the variable on one side

• Divide both sides by the variable

When deciding which variable term to eliminate, what is one option?

• Add 7 to both sides

• Subtract 7x from both sides

• Divide by 7x on both sides

• Multiply by 9x on both sides

After eliminating the variable term on one side, what is the next step?

• Subtract 4 from both sides

• Divide by 2 on both sides

• Add 4 to both sides

• Multiply by 2 on both sides

What operation should be performed first when solving a two-step equation?

• Undo multiplication

• Undo exponentiation

• Undo division

• Undo addition or subtraction

What is the simplified fraction form of the solution?

• 11/2

• 3/2

• 5/2

• 7/2

How do you express 11/2 as a mixed number?

• 4 1/2

• 6 1/2

• 5 1/2

• 3 1/2

What is the remainder when 11 is divided by 2?

• 0

• 1

• 2

• 3

Why is it important to verify the solution of an equation?

• To eliminate the variable

• To find a different solution

• To ensure the left side equals the right side

• To change the equation

What does it mean if the left side of the equation equals the right side after substitution?

• The solution is incorrect

• The solution is verified

• The equation needs more variables

• The equation is unsolvable

What is the equivalent mixed number of the improper fraction 11/2?

• 4 1/2

• 3 1/2

• 6 1/2

• 5 1/2