# Worksheet: Distributive Property Applications

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

**Q2: **

Fill in the blank: .

**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 Matthewβs 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 storeβs earnings for both prices.

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

**Q17: **

If , what is the value of ?