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: 400=(3Γ—100)+(Γ—100).

Q3:

Complete: 1,000Γ—7=5+.thousandsthousands

Q4:

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

Q5:

Using the distributive property, calculate 59+59Γ—(βˆ’49).

Q6:

Use the distributive property to calculate the value of 76+76Γ—25βˆ’76.

Q7:

Complete: 100Γ—7=2+.hundredshundreds

Q8:

Using the distributive property, calculate 12+12Γ—88.

Q9:

Using the distributive property, calculate 57Γ—47βˆ’47.

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 8 ( 4 . 1 1 ) = 8 ( 4 + 0 . 1 1 ) , the associative property of multiplication
  • B 8 ( 4 . 1 1 ) = 8 ( 4 + 0 . 1 1 ) , the commutative property of multiplication
  • C 8 ( 4 . 1 1 ) = 8 ( 4 + 0 . 1 1 ) , the distributive property
  • D 8 + 4 . 1 1 = 4 . 1 1 + 8 , the commutative property of addition
  • E 8 + 4 . 1 1 = 8 + ( 4 + 0 . 1 1 ) , 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 7 Γ— 6 5 , 7 ( 6 0 + 5 )
  • B 7 Γ— 6 5 , 7 + ( 6 0 + 5 )
  • C 7 + 6 5 , 7 + ( 6 0 βˆ’ 5 )
  • D 7 Γ— 6 5 , 7 ( 6 0 βˆ’ 5 )
  • E 7 + 6 5 , 7 + ( 6 0 + 5 )

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 38Γ—916+516Γ—12+38Γ—18+516Γ—ο€Όβˆ’18 using the distributive property.

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

Q14:

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

9 Γ— 4 = ( 5 Γ— 4 ) + ( Γ— 4 ) .

9 Γ— 4 = 2 0 + .

9 Γ— 4 = .

Q15:

Use Matthew’s fact to find the missing numbers.

2 2 Γ— 1 2 = 1 3 2 +

2 2 Γ— 1 2 =

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$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 π‘₯βˆ’π‘¦=14, what is the value of 3π‘₯βˆ’3𝑦?

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