Applying the Distributive Property in Algebraic Expressions

What does the distributive property remind us to do when multiplying a number by a sum?

• Multiply the number by the sum directly

• Multiply the number by each term in the sum

• Add the number to each term in the sum

• Multiply the number by the first term only

Using the distributive property, what is 5 times (3 + 7)?

• 15

• 50

• 20

• 35

What is the result of 1/2 times (x - y) - 4?

• x - y - 4

• 1/2x - 1/2y - 4

• 1/2x + 1/2y - 4

• 1/2x - y - 4

In the expression 6 + x - 5 + 7, what is the simplified form?

• 6 + x - 5 + 7

• 8 + x

• 6 + x + 2

• x + 8

What is the simplified form of 6 + x - 5 + 7?

• 8 + x

• 6 + x - 5 + 7

• x + 8

• 6 + x + 2

What is the simplified form of 4(m + 7) - 6(4 - m)?

• 10m + 28

• 10m + 4

• 4m + 28 - 24 - 6m

• 4m + 28 - 24 + 6m

What is the result of 4 times (m + 7)?

• 4m + 7

• 4m + 28

• m + 28

• 4m + 4

How do you simplify 8x + 12 divided by 4 using the distributive property?

• 8x/4 + 12/4

• 8x + 3

• 2x + 3

• 2x + 12

What is the simplified form of 11x + 12 divided by 2?

• 11x/2 + 12

• 5.5x + 6

• 11x + 6

• 11x/2 + 6

How do you simplify -1/3 times (6z - 2)?

• 2z - 2/3

• -2z + 2/3

• -2z - 2/3

• 2z + 2/3