Understanding the Distributive Property in Equations

This video tutorial by Mr. J covers solving equations using the distributive property. It begins with examples where the distributive property is applied to one side of the equation and progresses to more complex examples involving both sides. The tutorial includes step-by-step solutions and checks for accuracy, emphasizing the importance of inverse operations to isolate variables. The video concludes with a summary of the techniques demonstrated.

What is the first step in solving an equation using the distributive property?

• Combine like terms

• Distribute the terms outside the parentheses

• Add a constant to both sides

• Multiply both sides by a constant

In the equation 5(D - 7) = 20, what is the value of D?

• 5

• 7

• 13

• 11

After distributing in the equation 3(2x + 4) = 48, what is the next step?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 12 from both sides

• Add 12 to both sides

What is the solution for X in the equation 3(2x + 4) = 48?

• 4

• 7

• 6

• 5

In the equation 16 = -2(7n + 13), what is the value of N?

• -2

• 2

• -3

• 3

When solving 6(x + 3) = 2(4x - 1), what should you do after distributing?

• Multiply both sides by 2

• Combine like terms

• Add 6 to both sides

• Subtract 6x from both sides

What is the solution for X in the equation 6(x + 3) = 2(4x - 1)?

• 8

• 9

• 10

• 11

In the equation -4(3a - 9) = 3(-7a + 9), what is the first step?

• Distribute -4 and 3

• Add 9 to both sides

• Subtract 3a from both sides

• Multiply both sides by 3

What is the value of A in the equation -4(3a - 9) = 3(-7a + 9)?

• 1

• 2

• 0

• -1

What is the inverse operation of multiplication when solving equations?

• Exponentiation

• Division

• Subtraction

• Addition