Distributive Property and Variables, Terms Constant

2(4x - 3) - 8 = 4 + 2x

• x = 1

• x = 3

• x = 5/6

• x = -3

24a = -4(10 - a)

• a = -2

• a = 2

• a = 7/10

• a = -7/10

What property must you do to eliminate the parentheses in an equation?

• Distributive Property

• Multiplication Property

• Associative Property

• Commutative Property

What has to be done BEFORE you start solving a basic two-step equation?

• distributive property, combining like terms, and getting the variables all on one side

• distibutive property, move the variables to one side, cimbine like terms

• distributive property, cancel the constants, get variables to one side

• distributive property, combine like terms, eliminate the constant

7(x + 4)

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30

Simplify   2(3x + 5)

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.

-6a -15 = -3(a - 7)

• one solution

• no solution

• infinitely many

• a = 12