Solving Linear Equations and Properties

The video tutorial explains the distributive property, demonstrating how to apply it to solve equations. It covers the process of simplifying expressions and solving two-step equations, emphasizing the importance of verifying solutions to ensure accuracy.

What is the main purpose of the distributive property in solving equations?

• To distribute a single term across terms inside parentheses

• To solve equations by isolating variables

• To convert equations into inequalities

• To simplify expressions by combining like terms

Which of the following is an example of the distributive property?

• a(b - c) = ab - ac

• a(b + c) = ab + ac

• a + b = b + a

• a - b = b - a

In the expression -2 * (3x + 9), what is the result of applying the distributive property?

• -6x + 18

• 6x - 18

• -6x - 18

• 6x + 18

What is the purpose of using the distributive property in the expression -2 * (3x + 9)?

• To factor the expression

• To solve for x

• To simplify the expression

• To convert it into a quadratic equation

What is the simplified form of -2 * 3x - 2 * 9?

• 6x + 18

• 6x - 18

• -6x - 18

• -6x + 18

What does the expression -2 * (3x + 9) simplify to?

• -6x + 18

• 6x + 18

• -6x - 18

• 6x - 18

What type of equation is -6x - 18 = 24?

• Two-step equation

• One-step equation

• Quadratic equation

• Multi-step equation

What operation is used to undo subtraction in the equation -6x - 18 = 24?

• Addition

• Division

• Subtraction

• Multiplication

How do you solve for x in the equation -6x = 42?

• Subtract 6 from both sides

• Add 6 to both sides

• Divide both sides by -6

• Multiply both sides by -6

What is the solution to the equation -6x = 42?

• x = -7

• x = -6

• x = 6

• x = 7