Solving Equations with Parentheses Using the Distributive Property

What does the distributive property allow us to do in an equation?

• Eliminate all variables

• Distribute a multiplier over terms inside parentheses

• Combine like terms

• Isolate the variable immediately

What is the result of applying the distributive property to 2(4x + 7)?

• 8x + 14

• 6x + 9

• 8x + 7

• 4x + 14

In the alternate method, what operation is performed first?

• Multiplication

• Subtraction

• Division

• Addition

What is the simplified form of the equation after dividing both sides by 2 in the alternate method?

• 2x + 7 = 31

• 2x - 7 = 31

• 4x + 7 = 31

• 4x - 7 = 31

Why is it recommended to convert subtraction into addition of the opposite in equations?

• To simplify the distribution

• To isolate the variable faster

• To eliminate all variables

• To make the equation unsolvable

What is the result of distributing 2 over (2y - 7)?

• 4y - 14

• 2y - 14

• 2y + 7

• 4y + 14

After adding 14 to both sides of the equation 4y - 14 = 18, what is the new equation?

• 4y = 32

• 4y = 4

• 4y = 22

• 4y = 18

What is the final value of y in the equation 4y - 14 = 18?

• 5

• 8

• 7

• 6

What is the correct solution for the equation 2(4x - 9) = 14 after solving?

• x = 5

• x = 6

• x = 7

• x = 4

How do you verify the solution of an equation?

• Add the solution to the equation

• Substitute the value back into the original equation

• Multiply the equation by 2

• Divide the equation by the solution