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Write Expressions

Grade 5 · Algebra · Worksheet 3

  1. (12.5 × 8) + (156.8 ÷ 7) = ? Answer: ______________
  2. (4.8 × 7) + (36.4 ÷ 4) = ? Answer: ______________
  3. Write an expression: 20 more than 15 times 30. Answer: ______________
  4. A rectangular garden is divided into 4 equal square sections. Each square section has a side length of 12 meters. What is the total area of the entire garden? Answer: ______________
  5. Liam is building a rectangular garden in his backyard. The garden will be 12.5 meters long and 8.75 meters wide. He wants to put a fence around the entire garden. What is the perimeter of Liam's garden in meters?
    Answer: ______________
  6. Write an expression: 12 more than 8 times 15. Answer: ______________
  7. Write an expression: 7 more than 9 times 11 Answer: ______________
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Answer Key & Explanations

Write Expressions · Grade 5 · Worksheet 3

  1. (12.5 × 8) + (156.8 ÷ 7) = ? Answer: 122.4 Solution: Calculate the multiplication inside the first parentheses: 12.5 × 8 = 100.0 Calculate the division inside the second parentheses: 156.8 ÷ 7 = 22.4 Add the results from Step 1 and Step 2: 100.0 + 22.4 = 122.4 The answer is 122.4.
    Full step-by-step solution

    Step 1: Calculate the multiplication inside the first parentheses: 12.5 × 8 = 100.0 Step 2: Calculate the division inside the second parentheses: 156.8 ÷ 7 = 22.4 Step 3: Add the results from Step 1 and Step 2: 100.0 + 22.4 = 122.4 The answer is 122.4.

  2. (4.8 × 7) + (36.4 ÷ 4) = ? Answer: 42.7 Solution: Calculate the multiplication: 4.8 × 7 = 33.6 Calculate the division: 36.4 ÷ 4 = 9.1 Add the results: 33.6 + 9.1 = 42.7 The answer is 42.7.
    Full step-by-step solution

    Step 1: Calculate the multiplication: 4.8 × 7 = 33.6 Step 2: Calculate the division: 36.4 ÷ 4 = 9.1 Step 3: Add the results: 33.6 + 9.1 = 42.7 The answer is 42.7.

  3. Write an expression: 20 more than 15 times 30. Answer: (15 × 30) + 20 Solution: Identify the multiplication part: '15 times 30' means 15 × 30. Identify the addition part: '20 more than' means add 20 to the result. Write the expression with parentheses to show multiplication first: (15 × 30) + 20.
    Full step-by-step solution

    Step 1: Identify the multiplication part: '15 times 30' means 15 × 30. Step 2: Identify the addition part: '20 more than' means add 20 to the result. Step 3: Write the expression with parentheses to show multiplication first: (15 × 30) + 20. The expression is (15 × 30) + 20.

  4. A rectangular garden is divided into 4 equal square sections. Each square section has a side length of 12 meters. What is the total area of the entire garden? Answer: 576 Solution: Find the area of one square section. Area of a square = side × side = 12 m × 12 m = 144 square meters. Since there are 4 equal sections, multiply the area of one section by 4: 144 × 4.
    Full step-by-step solution

    Step 1: Find the area of one square section. Area of a square = side × side = 12 m × 12 m = 144 square meters. Step 2: Since there are 4 equal sections, multiply the area of one section by 4: 144 × 4. Step 3: Calculate 144 × 4 = 576. Step 4: The total area of the entire garden is 576 square meters. The answer is 576.

  5. Liam is building a rectangular garden in his backyard. The garden will be 12.5 meters long and 8.75 meters wide. He wants to put a fence around the entire garden. What is the perimeter of Liam's garden in meters? Answer: 42.5 Solution: To find the perimeter of a rectangle, we use the formula: Perimeter = 2 × (length + width) Write down the given measurements. Length = 12.5 meters Width = 8.75 meters Add the length and the width.
    Full step-by-step solution

    To find the perimeter of a rectangle, we use the formula: Perimeter = 2 × (length + width) Step 1: Write down the given measurements. Length = 12.5 meters Width = 8.75 meters Step 2: Add the length and the width. 12.5 + 8.75 = 21.25 Step 3: Multiply the sum by 2. 2 × 21.25 = 42.5 Step 4: State the final answer. The perimeter of Liam's garden is 42.5 meters.

  6. Write an expression: 12 more than 8 times 15. Answer: (8 × 15) + 12 Solution: Identify the multiplication part: '8 times 15' means 8 × 15. Identify the addition part: '12 more than' means add 12 to the result. Write the expression with parentheses to show multiplication first: (8 × 15) + 12.
    Full step-by-step solution

    Step 1: Identify the multiplication part: '8 times 15' means 8 × 15. Step 2: Identify the addition part: '12 more than' means add 12 to the result. Step 3: Write the expression with parentheses to show multiplication first: (8 × 15) + 12. The expression is (8 × 15) + 12.

  7. Write an expression: 7 more than 9 times 11 Answer: (9 × 11) + 7 Solution: Identify the multiplication part: '9 times 11' means 9 × 11. Identify the addition part: '7 more than' means add 7 to the result. Write the expression with parentheses to show multiplication first: (9 × 11) + 7.
    Full step-by-step solution

    Step 1: Identify the multiplication part: '9 times 11' means 9 × 11. Step 2: Identify the addition part: '7 more than' means add 7 to the result. Step 3: Write the expression with parentheses to show multiplication first: (9 × 11) + 7. The expression is (9 × 11) + 7.