Distributive Property and Equation Solving

This video tutorial teaches how to solve equations using the distributive property. It begins with an introduction and review of the distributive property, highlighting common mistakes students make, such as failing to distribute to all terms. The tutorial then provides step-by-step instructions for solving equations using distribution, including rearranging terms, subtracting, and dividing. Finally, it demonstrates how to check solutions by substituting values back into the equation.

What does the distributive property allow you to do with expressions like 2(x + 4)?

• Divide x by 2

• Subtract 4 from x

• Multiply 2 by x and 4 separately

• Add 2 to both x and 4

What is a common mistake students make when applying the distributive property?

• Forgetting to multiply the first term

• Forgetting to multiply the second term

• Adding instead of multiplying

• Dividing instead of multiplying

In the equation 3(x + 1) = 15, what is the first step to solve it using the distributive property?

• Divide both sides by 3

• Multiply 3 by x and 1

• Add 3 to both sides

• Subtract 1 from both sides

After distributing in the equation 3(x + 1) = 15, what is the next step?

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

• Add 3 to both sides

In the equation 2(x - 4) = 3x + 3, what should you do after distributing?

• Add 4 to both sides

• Subtract 2x from both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the result of solving the equation 2(x - 4) = 3x + 3?

• x = 3

• x = 11

• x = -3

• x = -11

How do you verify the solution x = -11 in the equation 2(x - 4) = 3x + 3?

• Add 11 to both sides

• Substitute x = -11 into the original equation

• Multiply both sides by -11

• Divide both sides by -11

What should the left side of the equation equal after substituting x = -11?

• -33

• -30

• 33

• 30

What should the right side of the equation equal after substituting x = -11?

• 30

• 33

• -30

• -33