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Quizzes > High School Quizzes > Technology

Distributive Property Word Problems Practice Quiz

Master Multi-Step Equations and Word Problems Now

Difficulty: Moderate
Grade: Grade 6
Study OutcomesCheat Sheet
Colorful paper art promoting a challenging Algebra quiz for high school students.

Liam bought 3 boxes of pencils. Each box contains 2 pencils and 5 erasers. How many items did Liam buy in total?
21 items
15 items
24 items
17 items
Using the distributive property, we calculate 3*(2 + 5) which is 3*2 + 3*5 = 6 + 15 = 21. This shows that Liam bought 21 items in total.
Eva bought 5 packs of stickers. Each pack contains 4 animal stickers and 3 flower stickers. How many stickers did she purchase in all?
35 stickers
40 stickers
32 stickers
30 stickers
By applying the distributive property, 5*(4 + 3) equals 5*4 + 5*3, which is 20 + 15 = 35. So, Eva purchased a total of 35 stickers.
A garden has 6 rows of trees. Each row has 2 apple trees and 3 orange trees. How many trees are in the garden?
25 trees
30 trees
35 trees
20 trees
The distributive property lets us calculate 6*(2 + 3) as 6*2 + 6*3 which is 12 + 18 = 30. Therefore, there are 30 trees in the garden.
Mike buys 2 snack packs. Each pack contains 3 chips and 4 cookies. What is the total number of items Mike buys?
14 items
16 items
12 items
10 items
Using the distributive property, 2*(3 + 4) equals 2*3 + 2*4 = 6 + 8 = 14. So, Mike buys a total of 14 items.
At a school fair, 4 booths each sell 5 lemonade cups and 2 cookie packs. What is the total number of items sold at all the booths?
30 items
26 items
28 items
24 items
By applying the distributive property, 4*(5 + 2) equals 4*5 + 4*2 = 20 + 8 = 28. Therefore, the booths sold a total of 28 items.
A toy store sells a bundle that includes a ball for $3 and a bat for $4. If 7 bundles are sold, what is the total sales amount?
$42
$56
$35
$49
Using the distributive property, 7*(3 + 4) equals 7*3 + 7*4, which is 21 + 28 = 49. This means the total sales amount is $49.
A farmer plants corn in 8 rows. Each row has 5 hybrid and 3 organic corn plants. How many corn plants are there in total?
72 plants
56 plants
64 plants
60 plants
Apply the distributive property: 8*(5 + 3) equals 8*5 + 8*3 which is 40 + 24 = 64. Therefore, there are 64 corn plants in total.
A set of identical gift bags is prepared for a party. Each bag contains 3 candy bars and 4 cookies. If there are 12 bags, how many items are in all the gift bags?
78 items
72 items
84 items
96 items
By using the distributive property, 12*(3 + 4) is computed as 12*3 + 12*4 = 36 + 48 = 84. Thus, there are 84 items in all the gift bags.
Jen is packing school supplies into 6 boxes, each holding 3 pencils and 2 erasers. How many supplies does she pack in total?
35 supplies
30 supplies
25 supplies
20 supplies
Using the distributive property, 6*(3 + 2) equals 6*3 + 6*2 which is 18 + 12 = 30. Jen packs a total of 30 supplies.
A teacher orders classroom kits, each containing 4 notebooks and 2 pens. If she orders 9 kits, how many items are there altogether?
52 items
48 items
56 items
54 items
By applying the distributive property, 9*(4 + 2) is calculated as 9*4 + 9*2 = 36 + 18 = 54. Therefore, the teacher ordered 54 items in total.
Carlos bought 10 sets of art supplies. Each set includes 3 brushes and 5 colors. What is the total number of art supplies he purchased?
80 items
70 items
75 items
85 items
Using the distributive property, 10*(3 + 5) equals 10*3 + 10*5 = 30 + 50 = 80. Thus, Carlos purchased 80 art supplies items.
Sarah buys 8 packs of stationery. Each pack contains 4 pencils and 7 erasers. Using the expression 8*(4+7), what is the total cost in dollars if each number represents the price of an item?
$88
$84
$80
$92
Applying the distributive property, 8*(4 + 7) equals 8*4 + 8*7 = 32 + 56 = 88. This shows the total cost is $88.
A recipe uses a mix of 2 cups of sugar and 3 cups of milk. If the recipe is scaled by a factor of 6, how many cups of ingredients are needed in total?
28 cups
35 cups
25 cups
30 cups
Using the distributive property, 6*(2 + 3) is calculated as 6*2 + 6*3 = 12 + 18 = 30. This means 30 cups of ingredients are needed in total.
A bookstore sells boxes of novels. Each box contains 3 fiction and 2 non-fiction books. If 11 boxes are sold, how many books are sold in total?
65 books
50 books
60 books
55 books
By applying the distributive property, 11*(3 + 2) equals 11*5 = 55. Therefore, a total of 55 books were sold.
During a fundraiser, each of the 13 participants donates 7 postcards and 5 stickers. What is the total number of items donated?
156 items
144 items
150 items
162 items
Using the distributive property, 13*(7 + 5) equals 13*7 + 13*5 = 91 + 65 = 156. This shows that 156 items were donated in total.
A school fundraiser sells gift baskets. Each basket contains 3 notebooks, 2 pens, and 4 pencils. If 15 baskets are sold, what is the total number of items in all baskets?
140 items
125 items
135 items
130 items
By applying the distributive property, add the items in one basket: 3 + 2 + 4 = 9 and then multiply by 15 for a total of 15*9 = 135 items. This confirms the overall total.
A construction company uses materials for each house: 4 bags of cement, 6 bricks, and 2 tiles. If they build 12 houses, what is the total number of materials used?
156 materials
132 materials
150 materials
144 materials
First, sum the materials per house: 4 + 6 + 2 = 12, and then multiply by 12 houses: 12*12 = 144. The distributive property streamlines this calculation.
In a science experiment, each kit contains 2 beakers, 3 test tubes, and 4 pipettes. With 20 participants using one kit each, how many lab items are used in total?
170 items
190 items
180 items
160 items
Using the distributive property, add the items in one kit: 2 + 3 + 4 = 9, then multiply by 20 to get 20*9 = 180 items. This shows the total number of lab items used.
A manufacturer packages electronics sets that include 5 batteries, 3 chargers, and 2 cables. If 17 sets are produced, what is the total number of components produced?
170 components
150 components
180 components
160 components
First, sum the components per set: 5 + 3 + 2 = 10. Then multiply by 17 sets to get 17*10 = 170 components. This is a clear application of the distributive property.
A charity event gives out goodie bags containing 2 notebooks, 3 pens, and 1 keychain. If 25 goodie bags are assembled, what is the overall number of items handed out?
155 items
150 items
145 items
160 items
Using the distributive property, add the items per goodie bag: 2 + 3 + 1 = 6, and then multiply by 25: 25*6 = 150. This calculation confirms that 150 items were handed out.
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Study Outcomes

  1. Apply the distributive property to simplify algebraic expressions.
  2. Analyze word problems to identify instances where the distributive property is needed.
  3. Solve equations by appropriately distributing multiplication over addition or subtraction.
  4. Model real-world scenarios using algebraic expressions that require the distributive property.

Distributive Property Quiz & Word Problems Cheat Sheet

  1. Grasp the basics of the Distributive Property - The distributive property lets you multiply across parentheses by multiplying each term inside and then adding or subtracting the results. It's like sharing candy evenly: 3(x + 4) becomes 3x + 12 by distributing the 3. Mastering this makes simplifying algebraic expressions a breeze. Distributive Property in Algebra
  2. Drill expression simplification with practice problems - Regular practice turns confusion into confidence. Take expressions like 2(3x - 5) and watch them simplify to 6x - 10 in a flash. The more problems you tackle, the faster you'll spot patterns and solutions. Distributive Property Worksheet
  3. Solve equations step by step - Begin by distributing, then combine like terms, and finally isolate the variable to find its value. This clear three-step approach ensures you won't miss any crucial move. Soon, solving equations with parentheses will feel as easy as solving puzzles. Solving Equations by Distributive Property
  4. Handle subtraction inside parentheses - The distributive property works with subtraction just as smoothly: a(b - c) = ab - ac. Remember to distribute the sign too - it's like making sure you subtract the right amount from every share. Practice spotting negative signs to avoid common mistakes. Distributive Property Worksheet
  5. Factor using the distributive property - Factoring is just reversing distribution: spot a common factor in terms like 6x + 9 and rewrite it as 3(2x + 3). This skill helps you simplify expressions and solve equations more efficiently. Think of it as packaging similar items back into one neat box. Distributive Property of Multiplication Worksheet
  6. Practice with negative multipliers - Don't let negative numbers scare you! For example, -2(x + 3) becomes -2x - 6 by distributing the negative sign correctly. Tackling these problems builds your confidence and sharpens your attention to detail. Distributive Property Practice Problems
  7. Distribute on both sides of an equation - When variables appear on both sides, distribute first, then collect like terms on one side to simplify the equation. This helps you isolate the variable smoothly and solve for its value. Practice makes perfect - soon you'll breeze through both-sided challenges. Solving Equations by Distributive Property
  8. Work with fractions inside parentheses - The distributive property applies to fractions too: (1/2)(x + 4) becomes 1/2x + 2 by multiplying each term by one half. Tackling fractions is a great way to level up your algebra game. Remember to simplify your answers when possible. Distributive Property Practice Problems
  9. Appreciate its role in algebra - The distributive property is like a secret weapon for simplifying expressions and solving equations quickly. It ties together multiplication, addition, and subtraction into one powerful tool. Embracing this concept opens doors to advanced math topics with confidence. Distributive Property in Algebra
  10. Build mastery through regular review - Consistent practice with varied problems cements your understanding and builds super-powered algebra skills. Challenge yourself with tougher expressions each week to stay sharp and motivated. Before you know it, the distributive property will be second nature! Distributive Property Practice Problems
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