Expressions for Cost Calculations

The video tutorial explains the distributive property, which states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. It provides numerical examples and word problems to illustrate the concept. The word problems involve scenarios like buying DVDs, bowling expenses, and ball game costs, demonstrating how to apply the distributive property to simplify expressions and calculate total costs.

What does the distributive property state?

• x * y + z = x * (y + z)

• x + (y * z) = x + y * z

• x + y + z = x * y * z

• x * (y + z) = x * y + x * z

In the example 2 * (3 + 4), what is the result using the distributive property?

• 16

• 14

• 12

• 18

How can the expression 2 * (3 + 4) be rewritten using the distributive property?

• 2 * 3 + 4

• 2 * 3 + 2 * 4

• 3 * 2 + 4

• 2 + 3 * 4

If Josh buys x DVDs, how many DVDs does Mary buy?

• 4x

• x

• 2x

• 3x

What is the expression for the total number of DVDs bought by Josh, Mary, and Loretta?

• x + 4x + 2x

• x + 3x + 4x

• x + x + x

• x + 2x + 3x

How can the expression for the total number of DVDs be simplified?

• 9x

• 8x

• 7x

• 6x

What is the cost of renting bowling shoes for one person?

• $4

• $3

• $2

• $1

How much does one person spend in total for bowling, games, and a soda?

• $5.50

• $6.50

• $8.50

• $7.50

What is the expression for the total amount spent by eight friends on bowling?

• 8 * ($2 + $3 + $1.50)

• 8 * ($2 + $3)

• 8 * ($3 + $1.50)

• 8 * ($2 + $1.50)

How can the total cost for eight friends be calculated using the distributive property?

• 8 * $2 + 8 * $3 + 8 * $1.50

• 8 * $2 + $3 + $1.50

• $2 + 8 * $3 + $1.50

• $2 + $3 + 8 * $1.50