Distributing and Solving Equations

The video tutorial covers solving equations involving parentheses using the distributive property. It provides multiple examples, demonstrating how to distribute terms, simplify equations, and solve for the variable. The tutorial emphasizes careful handling of negative numbers during distribution and offers practice problems for viewers to solve independently.

What is the first step when solving equations with parentheses?

• Multiply all terms by zero

• Subtract the numbers inside the parentheses

• Distribute the number outside the parentheses

• Add all numbers first

In the equation 3(x - 6) = 10, what is the result of distributing the 3?

• 3x + 6

• 3x - 6

• 3x + 18

• 3x - 18

After distributing in the equation 3(x - 6) = 10, what is the next step?

• Divide both sides by 3

• Subtract 18 from both sides

• Multiply both sides by 3

• Add 18 to both sides

What is the solution for x in the equation 3(x - 6) = 10?

• x = 3/28

• x = 3/10

• x = 28/3

• x = 10/3

In the equation 3(x - 6) = 10, what is the first step after distributing?

• Multiply both sides by 3

• Add 18 to both sides

• Subtract 18 from both sides

• Divide both sides by 3

In the equation 4(x + 3) - 2 = 6, what do you get after distributing the 4?

• 4x + 3

• 4x - 12

• 4x - 3

• 4x + 12

What is the next step after distributing in the equation 4(x + 3) - 2 = 6?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 4

• Combine like terms

What is the value of x in the equation 4(x + 3) - 2 = 6?

• x = -1

• x = 1

• x = 0

• x = 2

What is the result of simplifying 4(x + 3) - 2 = 6 after distribution?

• 4x - 12 = 6

• 4x + 10 = 6

• 4x + 12 = 6

• 4x - 10 = 6

When solving -4(x - 3) = 15, what is the result of distributing the -4?

• 4x - 12

• -4x + 12

• 4x + 12

• -4x - 12