Algebraic Expressions and Equations with Distributive Property

Numbers, symbols, and operations that are grouped together

• Evaluation

• Algebraic Expression

• PEMDAS

• Order of Operations

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

• 7

• 14

• 7x

• 14x

7(x + 4)

Use the Distributive Property to simplify the expression.
6(7g + 4 − g)

• 60g

• 41g + 4

• 36g + 24

• 12g +4

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.

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

Simplify   2(3x + 5)

Use the Distributive Property to simplify the expression.
5(57)

• 250

• 285

• 305

• 295

Which expression is equivalent to 6b + 3(a+b)?

• 3a (7b)

• 9b + (a+b)

• 3a + 6b

• 3a + 9b

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30