Solving Equations with the Distributive Property

This video tutorial explains how to solve equations using the distributive property. It begins with an introduction to the concept, followed by two examples demonstrating the application of the distributive property in solving equations. The first example involves a positive coefficient, while the second example deals with negative coefficients. The video concludes with a recap of strategies for effectively using the distributive property to simplify and solve equations.

What triggers the use of the distributive property in an equation?

• The presence of a variable outside the parentheses

• A number placed in front of parentheses

• The equation contains a subtraction

• The use of a multiplication symbol

What is the first step in applying the distributive property to 3(2x - 4)?

• Divide 3 by 2x

• Multiply 3 by 2x and -4 separately

• Subtract 4 from 3

• Add 3 to 2x

After applying the distributive property, what type of equation do we get?

• Linear equation

• Two-step equation

• Quadratic equation

• Cubic equation

How do you isolate the variable x in the equation 6x - 12 = -6?

• Subtract 6 from both sides

• Add 12 to both sides

• Divide both sides by 6

• Multiply both sides by 6

What is the solution to the equation 3(2x - 4) = -6?

• x = 0

• x = -1

• x = 2

• x = 1

In the equation -2(x - 6) = -4, what does the negative sign in front of the 2 indicate?

• Division by -2

• Multiplication by a negative number

• Subtraction inside the parentheses

• The equation has no solution

What is the result of distributing -2 over (x - 6)?

• -2x + 12

• 2x - 12

• -2x - 12

• 2x + 12

How do you solve for x in the equation -2x + 12 = -4?

• Add 12 to both sides

• Subtract 12 from both sides

• Divide both sides by -2

• Multiply both sides by -2

What is the final solution for x in the equation -2(x - 6) = -4?

• x = -8

• x = 0

• x = 8

• x = 4

Why is the distributive property useful in solving equations?

• It always results in a positive number

• It simplifies equations to a familiar form

• It eliminates all variables

• It automatically solves the equation