7th Grade Math Worksheet: Distributive Property Word Problems

Directions: Write an expression using the distributive property for each situation. Then simplify your expression. School Supplies: A student buys 4 packs of pencils and erasers. Each pack has 3 pencils and 2 erasers. Which total number of items is correct?

Answer explanation

To find the total number of items, use the distributive property: 4 packs with 3 pencils and 2 erasers each gives 4(3+2). Simplifying, 4(5) = 20. Thus, the correct choice is 4(3+2)=20.

Directions: Write an expression using the distributive property for each situation. Then simplify your expression. Sports Practice: A soccer coach runs 3 practice sessions each week. In each session, players do 5 warm-ups and 8 drills. Which expression and result correctly give the total activities done each week?

Answer explanation

The total activities per week can be calculated using the expression 3(5+8). This represents 3 sessions with 5 warm-ups and 8 drills each. Simplifying gives 3(13) = 39, which is the correct total activities.

Answer explanation

To find the total cost for 6 tickets, use the expression 6(25 + 3). This accounts for the ticket price and service fee. Simplifying gives 6(28) = 168. Thus, the correct answer is $168.

Answer explanation

The total cost for 5 friends is modeled by 5(2+3), which simplifies to 5*5 = $25. The expression (5*2)+(5*3) also simplifies to $25, while the other options do not correctly represent the total cost.

Directions: Write an expression using the distributive property for each situation. Then simplify your expression. School Lockers: There are 7 rows of lockers. Each row has 4 blue lockers and 6 green lockers. What is the total number of lockers?

Answer explanation

To find the total number of lockers, use the distributive property: 7 rows with (4 blue + 6 green) lockers. This gives 7(4+6) = 7(10) = 70. Thus, the correct expression is 7(4+6)=70.

Answer explanation

To find the total cost for 8 friends, use the expression 8(12+5). This represents 8 tickets at $12 each and 8 popcorns at $5 each. Simplifying gives 8(17) = $136, which is the correct answer.

Directions: Write an expression using the distributive property for each situation. Then simplify your expression. Book Club: Each member buys 2 novels and 1 notebook. If 5 members each buy the same items, what is the total number of items purchased?

Answer explanation

Each member buys 2 novels and 1 notebook, totaling 3 items. With 5 members, the expression is 5(2+1). Simplifying gives 5*3=15, which is the total number of items purchased.

Directions: Write an expression using the distributive property for each situation. Then simplify your expression. Field Trip Lunches: A cafeteria makes 10 lunch boxes, each with 1 sandwich and 2 snacks. How many total sandwiches and snacks are made?

Answer explanation

To find the total number of sandwiches and snacks, use the distributive property: 10 lunch boxes with (1 sandwich + 2 snacks) gives 10(1+2). Simplifying this results in 10*3 = 30, which is the total number of items.

Directions: Write an expression using the distributive property for each situation. Then simplify your expression. Basketball Jerseys: Each player needs 3 home jerseys and 2 away jerseys. If there are 9 players, which expressions correctly model and simplify the total number of jerseys? Select all that apply.

Answer explanation

The total number of jerseys is modeled by 9 players needing 3 home and 2 away jerseys. Thus, 9(3+2) simplifies to 9*5=45. The expression (9*3)+(9*2) also simplifies to 27+18=45. The other options are incorrect.

Answer explanation

To find the total cost for 4 orders, use the expression 4(2\cdot15+10). This calculates the cost of 2 shirts and 1 hat per order, then multiplies by 4 orders, resulting in $160.