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Write Expressions

Grade 5 · Algebra · Worksheet 2

  1. Write an expression: 15 more than 12 times 8. Answer: ______________
  2. Write an expression: 9 more than 7 times 13. Answer: ______________
  3. Liam is building a rectangular garden bed that is 3.5 meters long and 2.25 meters wide. He wants to put a decorative fence around the entire perimeter. How many meters of fencing does Liam need?
    Answer: ______________
  4. (24.8 × 5) + (156.6 ÷ 9) = ? Answer: ______________
  5. Emma is baking cookies for a school fundraiser. She needs 2.25 cups of flour for each batch of chocolate chip cookies and 1.75 cups of flour for each batch of oatmeal raisin cookies. If she makes 3 batches of chocolate chip cookies and 2 batches of oatmeal raisin cookies, how many total cups of flour does Emma need? Answer: ______________
  6. Tom has 28 stickers. Tom wants to share them equally among 4 friends. Write an expression for how many stickers each friend will get. Answer: ______________
  7. (6.4 × 7) + (87.5 ÷ 5) = ? Answer: ______________
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Answer Key & Explanations

Write Expressions · Grade 5 · Worksheet 2

  1. Write an expression: 15 more than 12 times 8. Answer: (12 × 8) + 15 Solution: Identify the operations. '12 times 8' means multiplication: 12 × 8. '15 more than' means addition: + 15.
    Full step-by-step solution

    Step 1: Identify the operations. '12 times 8' means multiplication: 12 × 8. '15 more than' means addition: + 15. Step 2: Write the expression in the correct order: (12 × 8) + 15. The answer is (12 × 8) + 15.

  2. Write an expression: 9 more than 7 times 13. Answer: (7 × 13) + 9 Solution: Identify the multiplication part: '7 times 13' means 7 × 13. Identify the addition part: '9 more than' means add 9 to the result. Write the expression with parentheses to show multiplication first: (7 × 13) + 9.
    Full step-by-step solution

    Step 1: Identify the multiplication part: '7 times 13' means 7 × 13. Step 2: Identify the addition part: '9 more than' means add 9 to the result. Step 3: Write the expression with parentheses to show multiplication first: (7 × 13) + 9. The expression is (7 × 13) + 9.

  3. Liam is building a rectangular garden bed that is 3.5 meters long and 2.25 meters wide. He wants to put a decorative fence around the entire perimeter. How many meters of fencing does Liam need? Answer: 11.5 Solution: To find the total length of fencing needed, we need to calculate the perimeter of the rectangular garden bed. Identify the formula for the perimeter of a rectangle. The perimeter (P) of a rectangle is given by the formula: P = 2 * (length + width) Write down the given dimensions.
    Full step-by-step solution

    To find the total length of fencing needed, we need to calculate the perimeter of the rectangular garden bed. Step 1: Identify the formula for the perimeter of a rectangle. The perimeter (P) of a rectangle is given by the formula: P = 2 * (length + width) Step 2: Write down the given dimensions. Length = 3.5 meters Width = 2.25 meters Step 3: Substitute the given values into the formula. P = 2 * (3.5 + 2.25) Step 4: Perform the addition inside the parentheses. 3.5 + 2.25 = 5.75 Step 5: Multiply the result by 2. P = 2 * 5.75 P = 11.5 Therefore, Liam needs 11.5 meters of fencing.

  4. (24.8 × 5) + (156.6 ÷ 9) = ? Answer: 141.4 Solution: Calculate the multiplication: 24.8 × 5 = 124.0 Calculate the division: 156.6 ÷ 9 = 17.4 Add the results: 124.0 + 17.4 = 141.4 The answer is 141.4.
    Full step-by-step solution

    Step 1: Calculate the multiplication: 24.8 × 5 = 124.0 Step 2: Calculate the division: 156.6 ÷ 9 = 17.4 Step 3: Add the results: 124.0 + 17.4 = 141.4 The answer is 141.4.

  5. Emma is baking cookies for a school fundraiser. She needs 2.25 cups of flour for each batch of chocolate chip cookies and 1.75 cups of flour for each batch of oatmeal raisin cookies. If she makes 3 batches of chocolate chip cookies and 2 batches of oatmeal raisin cookies, how many total cups of flour does Emma need? Answer: 10.25 Solution: Calculate flour for chocolate chip cookies: 3 batches × 2.25 cups/batch = 6.75 cups Calculate flour for oatmeal raisin cookies: 2 batches × 1.75 cups/batch = 3.5 cups Add both amounts: 6.75 cups + 3.5 cups = 10.25 cups Emma needs 10.25 cups of flour total.
    Full step-by-step solution

    Step 1: Calculate flour for chocolate chip cookies: 3 batches × 2.25 cups/batch = 6.75 cups Step 2: Calculate flour for oatmeal raisin cookies: 2 batches × 1.75 cups/batch = 3.5 cups Step 3: Add both amounts: 6.75 cups + 3.5 cups = 10.25 cups Emma needs 10.25 cups of flour total.

  6. Tom has 28 stickers. Tom wants to share them equally among 4 friends. Write an expression for how many stickers each friend will get. Answer: 7 Solution: Total stickers: 28. Number of friends: 4. Divide equally: 28 ÷ 4 = 7.
    Full step-by-step solution

    Step 1: Total stickers: 28. Step 2: Number of friends: 4. Step 3: Divide equally: 28 ÷ 4 = 7. Each friend gets 7 stickers.

  7. (6.4 × 7) + (87.5 ÷ 5) = ? Answer: 62.3 Solution: Calculate the multiplication inside the first parentheses: 6.4 × 7 = 44.8 Calculate the division inside the second parentheses: 87.5 ÷ 5 = 17.5 Add the results from Step 1 and Step 2: 44.8 + 17.5 = 62.3 The answer is 62.3.
    Full step-by-step solution

    Step 1: Calculate the multiplication inside the first parentheses: 6.4 × 7 = 44.8 Step 2: Calculate the division inside the second parentheses: 87.5 ÷ 5 = 17.5 Step 3: Add the results from Step 1 and Step 2: 44.8 + 17.5 = 62.3 The answer is 62.3.