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Lesson: Applications of the Distributive Property

In this lesson, we will learn how to apply the distributive property to evaluate expressions and solve problems including real-life situations.

Sample Question Videos

01:44

Worksheet • 16 Questions • 1 Video

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:

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 ) 2 .

Q6:

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

Q7:

Complete:

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 2 .

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

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

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  properties of real numbers.

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

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