# Worksheet: Distributive Property Applications

In this worksheet, we will practice applying the distributive property to evaluate expressions and solving problems involving real-life situations.

Q1:

The average attendance per game during a season of baseball was about 65,000 people. Use the distributive property to find how many people attended 7 games during that season.

Q2:

Fill in the blank: .

Q3:

Complete:

Q4:

Given that , find the value of .

Q5:

Using the distributive property, calculate .

Q6:

Use the distributive property to calculate the value of .

Q7:

Complete:

Q8:

Using the distributive property, calculate .

Q9:

Using the distributive property, calculate .

Q10:

Isabella is trying to figure out the cost of 8 juice boxes that are sold for \$4.11 each. Which of the following mathematical sentences can be used to help Isabella do her calculations easily and states the real number property applied?

• A, the associative property of multiplication
• B, the commutative property of multiplication
• C, the distributive property
• D, the commutative property of addition
• E, the distributive property

Q11:

Ethan bought 7 new outfits for \$65 each for his wardrobe. Determine the expression that represents the total cost. Using the distributive property, determine an equivalent expression that can be used to calculate the total cost mentally.

• A,
• B,
• C,
• D,
• E,

Q12:

A print shop charges \$0.04 to print a page in black and white and \$0.16 to print it in color. Use the distributive property to determine the total cost of printing 27 pages in both black and white and color.

Q13:

Evaluate and simplify using the distributive property.

• A
• B
• C
• D

Q14:

Use the number bonds to help you find the missing numbers in the equations. Q15:

Use Matthew’s fact to find the missing numbers. Q16:

A hardware store has 154 hammers and 171 screwdrivers on sale for \$9.03 each. Determine how much money the hardware store will earn if all the hammers and screwdrivers are sold. If the selling price decreased to \$6.69, determine how much money the store would earn then, and calculate the difference between the store’s earnings for both prices.

• A\$1,698.13, \$1,297.99, \$400.14
• B\$2,934.75, \$2,174.25, \$760.50
• C\$1,561.62, \$1,201.26, \$360.36
• D\$334.03, \$331.69, \$665.72
• E\$2,934.75, \$2,174.25, \$5,109.00

Q17:

If , what is the value of ?