Worksheet: Applications of the Distributive Property

In this worksheet, we will practice applying the distributive property to evaluate expressions and solving problems including 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: 4 0 0 = ( 3 Γ— 1 0 0 ) + ( Γ— 1 0 0 ) .

Q3:

Complete: 1 , 0 0 0 Γ— 7 = 5 + . t h o u s a n d s t h o u s a n d s

Q4:

Given that π‘₯ Γ— ( 6 + 9 ) = ( βˆ’ 7 Γ— 6 ) + ( βˆ’ 7 Γ— 9 ) , find the value of π‘₯ .

Q5:

Using the distributive property, calculate 5 9  + 5 9 Γ— ( βˆ’ 4 9 ) .

Q6:

Use the distributive property to calculate the value of 7 6 + 7 6 Γ— 2 5 βˆ’ 7 6  .

Q7:

Complete: 1 0 0 Γ— 7 = 2 + . h u n d r e d s h u n d r e d s

Q8:

Using the distributive property, calculate 1 2 + 1 2 Γ— 8 8  .

Q9:

Using the distributive property, calculate 5 7 Γ— 4 7 βˆ’ 4 7  .

Q10:

Nada 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 Nada do her calculations easily and states the real number property applied?

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

Q11:

Sherif 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 colour. Use the distributive property to determine the total cost of printing 27 pages in both black and white and colour.

  • A$31.16
  • B$4.32
  • C$15.10
  • D$5.40
  • E$3.20

Q13:

Evaluate and simplify 3 8 Γ— 9 1 6 + 5 1 6 Γ— 1 2 + 3 8 Γ— 1 8 + 5 1 6 Γ— ο€Ό βˆ’ 1 8  using the distributive property.

  • A 1 2
  • B 2 9 6 4
  • C 9 3 2
  • D 3 8

Q14:

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

Q15:

Use Sameh’s fact to find the missing numbers.

Q16:

A DIY store has 154 hammers and 171 screwdrivers on sale for $9.03 each. Determine how much money the DIY 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$1β€Žβ€‰β€Ž561.62, $1β€Žβ€‰β€Ž201.26, $360.36
  • B$334.03, $331.69, $665.72
  • C$1β€Žβ€‰β€Ž698.13, $1β€Žβ€‰β€Ž297.99, $400.14
  • D$2β€Žβ€‰β€Ž934.75, $2β€Žβ€‰β€Ž174.25, $760.50
  • E$2β€Žβ€‰β€Ž934.75, $2β€Žβ€‰β€Ž174.25, $5β€Žβ€‰β€Ž109.00

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