Solving Equations with the Distributive Property

What property allows us to remove parentheses in equations?

• Associative property

• Additive property

• Distributive property

• Commutative property

After applying the distributive property to 5(D - 7), what is the resulting expression?

• 5D - 7

• 5D + 35

• D - 35

• 5D - 35

What is the value of D when solving 5D - 35 = 20?

• 10

• 11

• 12

• 13

How do you verify the solution D = 11 in the equation 5(D - 7) = 20?

• None of the above

• Add 11 to each side

• Multiply 5 by 11

• Substitute D = 11 into the original equation

What is the simplified form of 3(2x + 4)?

• 6x + 12

• 6x + 8

• 3x + 12

• 5x + 12

What is the value of x when solving 6x + 12 = 48?

• 7

• 6

• 8

• 5

How do you verify the solution x = 6 in the equation 3(2x + 4) = 48?

• None of the above

• Divide 48 by 6

• Substitute x = 6 into the original equation

• Multiply 3 by 6

What is the result of distributing -2 across 7n + 13?

• 14n - 26

• -14n + 26

• -7n - 26

• -14n - 26

What is the value of n when solving -14n - 26 = 16?

• -4

• 3

• -3

• 4

How do you verify the solution n = -3 in the equation -2(7n + 13) = 16?

• Multiply -2 by -3

• Add 3 to each side

• None of the above

• Substitute n = -3 into the original equation