Simplify Expressions Distributive Property

Use the distributive property to simplify the expression

3(4+3r)

• 12+9r

• 7+6r

• 12+5r

Use the distributive property to simplify the expression

6(7k+11)

• 7k+11

• 42k+66

• 13k+16

Use the distributive property to simplify the expression

5(1+5b)

• 5+25b

• 6+6b

• 5+10b

Use the distributive property to simplify the expression

2(1+10v)

• 2+12v

• 2+20v

• 2+9v

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.

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

• 7

• 14

• 7x

• 14x

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.

7(x + 4)

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30