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Write Expressions

Grade 5 · Algebra · Worksheet 1

  1. A rectangular garden is divided into 8 equal sections. Each section contains 15 rows of flowers, and each row has 12 flowers. Write a numerical expression that represents the total number of flowers in the garden, then calculate the total. Answer: ______________
  2. Write an expression: 17 more than 23 times 45. Answer: ______________
  3. (4.5 × 6) + (3.2 × 5) = ? Answer: ______________
  4. Write an expression: 16 more than 11 times 21. Answer: ______________
  5. A rectangular swimming pool has a length of 15.75 meters and a width that is 3.25 meters less than the length. Write an expression for the perimeter of the pool and then calculate the perimeter in meters. Answer: ______________
  6. (12.5 × 8) + (84.6 ÷ 6) = ? Answer: ______________
  7. Emma is making a large batch of lemonade for a school fundraiser. She needs to mix 2.75 liters of lemon juice with 4.5 liters of water. Then she adds 1.25 liters of simple syrup. How many liters of lemonade will Emma make in total? Answer: ______________
  8. Emma is making a large batch of lemonade for a school fair. She uses 3.75 liters of lemon juice and 2.5 times that amount of water. How many liters of lemonade does Emma make in total? Answer: ______________
  9. A rectangular garden is divided into 4 equal sections. Each section has 15 rows of flowers with 12 flowers in each row. Write the numerical expression that shows how to calculate the total number of flowers in the garden. Answer: ______________
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Answer Key & Explanations

Write Expressions · Grade 5 · Worksheet 1

  1. A rectangular garden is divided into 8 equal sections. Each section contains 15 rows of flowers, and each row has 12 flowers. Write a numerical expression that represents the total number of flowers in the garden, then calculate the total. Answer: 1440 Solution: Step 1: Find the number of flowers in one section: 15 rows × 12 flowers per row = 180 flowers Step 2: Since there are 8 equal sections, multiply the flowers per section by the number of sections: 180 × 8 Step 3: Calculate 180 × 8 = 1440 Step 4: The numerical expression that represents this…
    Full step-by-step solution

    Step 1: Find the number of flowers in one section: 15 rows × 12 flowers per row = 180 flowers Step 2: Since there are 8 equal sections, multiply the flowers per section by the number of sections: 180 × 8 Step 3: Calculate 180 × 8 = 1440 Step 4: The numerical expression that represents this calculation is: 8 × (15 × 12) Step 5: Verify the expression: 15 × 12 = 180, then 8 × 180 = 1440 The total number of flowers in the garden is 1440.

  2. Write an expression: 17 more than 23 times 45. Answer: (23 × 45) + 17 Solution: Identify the multiplication part: '23 times 45' means 23 × 45. Identify the addition part: '17 more than' means add 17 to the result of the multiplication.
    Full step-by-step solution

    Step 1: Identify the multiplication part: '23 times 45' means 23 × 45. Step 2: Identify the addition part: '17 more than' means add 17 to the result of the multiplication. Step 3: Write the expression with parentheses to show multiplication first: (23 × 45) + 17. The expression is (23 × 45) + 17.

  3. (4.5 × 6) + (3.2 × 5) = ? Answer: 43 Solution: Calculate 4.5 × 6 = 27 Calculate 3.2 × 5 = 16 Add the results: 27 + 16 = 43 The answer is 43.
    Full step-by-step solution

    Step 1: Calculate 4.5 × 6 = 27 Step 2: Calculate 3.2 × 5 = 16 Step 3: Add the results: 27 + 16 = 43 The answer is 43.

  4. Write an expression: 16 more than 11 times 21. Answer: (11 × 21) + 16 Solution: Identify the multiplication part: '11 times 21' means 11 × 21. Identify the addition part: '16 more than' means add 16 to the result. Write the expression with parentheses to show multiplication first: (11 × 21) + 16.
    Full step-by-step solution

    Step 1: Identify the multiplication part: '11 times 21' means 11 × 21. Step 2: Identify the addition part: '16 more than' means add 16 to the result. Step 3: Write the expression with parentheses to show multiplication first: (11 × 21) + 16. The expression is (11 × 21) + 16.

  5. A rectangular swimming pool has a length of 15.75 meters and a width that is 3.25 meters less than the length. Write an expression for the perimeter of the pool and then calculate the perimeter in meters. Answer: 56.5 Solution: Width = Length - 3.25 Width = 15.75 - 3.25 Width = 12.5 meters Perimeter = 2 × (Length + Width) Perimeter = 2 × (15.75 + 12.5) First, add length and width: 15.75 + 12.5 = 28.25 Then multiply by 2: 2 × 28.25 = 56.5 The perimeter of the swimming pool is 56.5 meters.
    Full step-by-step solution

    Step 1: Find the width of the pool Width = Length - 3.25 Width = 15.75 - 3.25 Width = 12.5 meters Step 2: Write the perimeter expression Perimeter = 2 × (Length + Width) Perimeter = 2 × (15.75 + 12.5) Step 3: Calculate the perimeter First, add length and width: 15.75 + 12.5 = 28.25 Then multiply by 2: 2 × 28.25 = 56.5 The perimeter of the swimming pool is 56.5 meters.

  6. (12.5 × 8) + (84.6 ÷ 6) = ? Answer: 114.1 Solution: Calculate the multiplication: 12.5 × 8 = 100.0 Calculate the division: 84.6 ÷ 6 = 14.1 Add the results: 100.0 + 14.1 = 114.1 The answer is 114.1.
    Full step-by-step solution

    Step 1: Calculate the multiplication: 12.5 × 8 = 100.0 Step 2: Calculate the division: 84.6 ÷ 6 = 14.1 Step 3: Add the results: 100.0 + 14.1 = 114.1 The answer is 114.1.

  7. Emma is making a large batch of lemonade for a school fundraiser. She needs to mix 2.75 liters of lemon juice with 4.5 liters of water. Then she adds 1.25 liters of simple syrup. How many liters of lemonade will Emma make in total? Answer: 8.5 Solution: Identify all the ingredients: lemon juice = 2.75 liters, water = 4.5 liters, simple syrup = 1.25 liters Add the amounts together: 2.75 + 4.5 + 1.25 Line up the decimals and add: 2.75 + 4.50 + 1.25 = 8.50 The total lemonade is 8.5 liters Emma will make 8.5 liters of lemonade in total.
    Full step-by-step solution

    Step 1: Identify all the ingredients: lemon juice = 2.75 liters, water = 4.5 liters, simple syrup = 1.25 liters Step 2: Add the amounts together: 2.75 + 4.5 + 1.25 Step 3: Line up the decimals and add: 2.75 + 4.50 + 1.25 = 8.50 Step 4: The total lemonade is 8.5 liters Emma will make 8.5 liters of lemonade in total.

  8. Emma is making a large batch of lemonade for a school fair. She uses 3.75 liters of lemon juice and 2.5 times that amount of water. How many liters of lemonade does Emma make in total? Answer: 13.125 Solution: Find the amount of water used. Since water is 2.5 times the lemon juice, multiply 3.75 liters by 2.5. 3.75 × 2.5 = 9.375 liters of water Find the total amount of lemonade by adding the lemon juice and water.
    Full step-by-step solution

    Step 1: Find the amount of water used. Since water is 2.5 times the lemon juice, multiply 3.75 liters by 2.5. 3.75 × 2.5 = 9.375 liters of water Step 2: Find the total amount of lemonade by adding the lemon juice and water. 3.75 liters (lemon juice) + 9.375 liters (water) = 13.125 liters The answer is 13.125 liters of lemonade.

  9. A rectangular garden is divided into 4 equal sections. Each section has 15 rows of flowers with 12 flowers in each row. Write the numerical expression that shows how to calculate the total number of flowers in the garden. Answer: 4 × (15 × 12) Solution: Step 1: First, calculate how many flowers are in one section: 15 rows × 12 flowers per row = 180 flowers Step 2: Since there are 4 equal sections, multiply the flowers per section by 4: 180 × 4 = 720 flowers Step 3: The numerical expression that represents this calculation is: 4 × (15 × 12) Step…
    Full step-by-step solution

    Step 1: First, calculate how many flowers are in one section: 15 rows × 12 flowers per row = 180 flowers Step 2: Since there are 4 equal sections, multiply the flowers per section by 4: 180 × 4 = 720 flowers Step 3: The numerical expression that represents this calculation is: 4 × (15 × 12) Step 4: Verify the expression: 15 × 12 = 180, then 4 × 180 = 720 The answer is 4 × (15 × 12).