Solving One-Step Linear Equations

This video tutorial covers solving linear equations in one variable, focusing on one-step equations. It explains the step-by-step process to isolate the variable, including distributing, moving variables, combining like terms, and using inverse operations. The tutorial provides examples of solving equations with addition, subtraction, multiplication, and division, and emphasizes checking solutions. It also highlights key tips for isolating variables and handling negative numbers. The video concludes with a preview of multi-step equations to be covered in the next lesson.

What is the primary goal when solving a linear equation in one variable?

• To simplify the equation

• To combine all terms

• To isolate the variable

• To eliminate the constants

What is the first step in solving an equation if there are grouping symbols?

• Add or subtract constants

• Move the variable to one side

• Combine like terms

• Distribute to remove the grouping symbols

In the equation X + 7 = 15, what operation should be performed to isolate X?

• Subtract 7 from both sides

• Divide both sides by 7

• Add 7 to both sides

• Multiply both sides by 7

When solving 8 + X = 12, what is the value of X?

• 8

• 16

• 12

• 4

In the equation -6 + X = 11, what should be added to both sides to isolate X?

• -6

• 6

• -11

• 11

What is the inverse operation of multiplication when solving equations?

• Subtraction

• Exponentiation

• Addition

• Division

In the equation 4X = 20, what is the value of X?

• 20

• 5

• 24

• 4

What operation should be performed to both sides of the equation X/3 = 5 to isolate X?

• Subtract 3

• Divide by 3

• Multiply by 3

• Add 3

In the equation 16 = 2X, what is the value of X?

• 4

• 16

• 2

• 8

What property allows us to swap sides of the equal sign without changing the equation?

• Symmetric Property

• Associative Property

• Commutative Property

• Distributive Property