Equivalent Expressions-Distributive Property

Simplify the expression: 10(3y + 1)

• 20y + 10

• 30y + 5

• 30y + 10

• 10y + 10

Simplify the expression: 4(8n + 2)

• 32n + 2

• 32n + 4

• 32n + 8

• 32n + 16

Simplify the expression: 6(2r + 10)

• 12r + 60

• 12r + 20

• 6r + 60

• 6r + 20

What is the first step in using the Distributive Property?

• To add the terms inside the parentheses together.

• To multiply the term outside the parentheses by each term inside the parentheses.

• To divide the terms inside the parentheses by the term outside.

• To subtract the term outside the parentheses from each term inside.

Simplify the expression: 5(p - 6)

• 5p - 30

• 5p + 30

• p - 30

• 5p - 6

How do you check if two expressions are equivalent?

• By substituting the same value for the variables in both expressions and seeing if they yield the same result.

• By comparing the coefficients of the variables in both expressions.

• By simplifying both expressions and checking if they are identical.

• By graphing both expressions and checking if they intersect.

What is the result of 9(5 + 2y)?

• 45 + 18y

• 45 + 9y

• 9 + 10y

• 50 + 18y

What is the Distributive Property used for?

• To simplify expressions and solve equations by distributing multiplication over addition or subtraction.

• To find the greatest common factor of two numbers.

• To calculate the area of geometric shapes.

• To convert fractions into decimals.

What is an example of using the Distributive Property?

• 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

• 2(3 + 7) = 2*3 + 2*7 = 6 + 14 = 20.

• 5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

• 4(1 + 2) = 4*1 + 4*2 = 4 + 8 = 12.

What is the Distributive Property?

• The Distributive Property states that a(b + c) = ab + ac, allowing multiplication of a number by a sum.

• The Distributive Property states that a + b = ab, allowing addition of two numbers.

• The Distributive Property states that a(b - c) = ab - ac, allowing multiplication of a number by a difference.

• The Distributive Property states that a(b + c) = a + b + c, allowing addition of a number to a sum.