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True/False Equations

Grade 1 · Algebra · Worksheet 3

  1. True or false: 12 - 7 = 5 Answer: ______________
  2. True or false: 13 - 5 = 7 Answer: ______________
  3. Sophia has 16 crayons. She gives 6 crayons to her friend Ava. Sophia says, '16 minus 6 equals 10.' Is this true or false? Answer: ______________
  4. 9 + 4 = 12
    • A. true
    • B. false
  5. Is 9 + 6 equal to 15? Answer yes or no.
    • A. no
    • B. yes
  6. Emma has 7 red crayons and 6 blue crayons in her art box. How many crayons does Emma have in total? Answer: ______________
  7. Noah has 7 red marbles and 6 blue marbles. How many marbles does Noah have in total? Answer: ______________
  8. A rectangle has 4 sides. Two sides are 8 cm long and two sides are 5 cm long. What is the total length of all the sides? Answer: ______________
  9. A rectangle has 4 sides. Two sides are 8 units long and two sides are 5 units long. What is the total distance around the rectangle? Answer: ______________
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Answer Key & Explanations

True/False Equations · Grade 1 · Worksheet 3

  1. True or false: 12 - 7 = 5 Answer: true Solution: Look at the left side of the equation: 12 - 7. Subtract 7 from 12. Start at 12 and count backward 7 steps: 11, 10, 9, 8, 7, 6, 5.
    Full step-by-step solution

    Step 1: Look at the left side of the equation: 12 - 7. Step 2: Subtract 7 from 12. Start at 12 and count backward 7 steps: 11, 10, 9, 8, 7, 6, 5. Step 3: 12 - 7 = 5. Step 4: The right side of the equation is also 5. Step 5: Since both sides equal 5, the equation is true. The answer is true.

  2. True or false: 13 - 5 = 7 Answer: false Solution: Look at the left side: 13 - 5 Subtract: 13 - 5 = 8 Compare to the right side: 7 Since 8 does not equal 7, the equation is false.
    Full step-by-step solution

    Step 1: Look at the left side: 13 - 5 Step 2: Subtract: 13 - 5 = 8 Step 3: Compare to the right side: 7 Step 4: Since 8 does not equal 7, the equation is false. The answer is false.

  3. Sophia has 16 crayons. She gives 6 crayons to her friend Ava. Sophia says, '16 minus 6 equals 10.' Is this true or false? Answer: true Solution: Sophia starts with 16 crayons. She gives away 6 crayons, so we subtract: 16 - 6. 16 - 6 = 10.
    Full step-by-step solution

    Step 1: Sophia starts with 16 crayons. Step 2: She gives away 6 crayons, so we subtract: 16 - 6. Step 3: 16 - 6 = 10. Step 4: Sophia says 16 - 6 = 10, which matches our calculation. Therefore, the statement is true.

  4. 9 + 4 = 12 Answer: B. false Solution: Calculate the left side: 9 + 4 = 13 Compare with the right side: 13 vs 12 Since 13 does not equal 12, the equation is false
    Full step-by-step solution

    Step 1: Calculate the left side: 9 + 4 = 13 Step 2: Compare with the right side: 13 vs 12 Step 3: Since 13 does not equal 12, the equation is false

  5. Is 9 + 6 equal to 15? Answer yes or no. Answer: B. yes Solution: Start with 9 Add 6 to get 9 + 6 9 + 6 = 15 Compare 15 to 15 - they are the same The answer is yes.
    Full step-by-step solution

    Step 1: Start with 9 Step 2: Add 6 to get 9 + 6 Step 3: 9 + 6 = 15 Step 4: Compare 15 to 15 - they are the same The answer is yes.

  6. Emma has 7 red crayons and 6 blue crayons in her art box. How many crayons does Emma have in total? Answer: 13 Solution: Emma has 7 red crayons. Emma has 6 blue crayons. Add the red and blue crayons together: 7 + 6 7 + 6 = 13 Emma has 13 crayons in total.
    Full step-by-step solution

    Step 1: Emma has 7 red crayons. Step 2: Emma has 6 blue crayons. Step 3: Add the red and blue crayons together: 7 + 6 Step 4: 7 + 6 = 13 Emma has 13 crayons in total.

  7. Noah has 7 red marbles and 6 blue marbles. How many marbles does Noah have in total? Answer: 13 Solution: Noah has 7 red marbles. Noah has 6 blue marbles. Add the red and blue marbles together: 7 + 6 7 + 6 = 13 Noah has 13 marbles in total.
    Full step-by-step solution

    Step 1: Noah has 7 red marbles. Step 2: Noah has 6 blue marbles. Step 3: Add the red and blue marbles together: 7 + 6 Step 4: 7 + 6 = 13 Noah has 13 marbles in total.

  8. A rectangle has 4 sides. Two sides are 8 cm long and two sides are 5 cm long. What is the total length of all the sides? Answer: 26 Solution: A rectangle has 4 sides. Identify the lengths of all sides. Two sides are 8 cm long.
    Full step-by-step solution

    A rectangle has 4 sides. Step 1: Identify the lengths of all sides. Two sides are 8 cm long. Two sides are 5 cm long. Step 2: Add the lengths of all four sides. First, add the two longer sides: 8 + 8 = 16 cm. Next, add the two shorter sides: 5 + 5 = 10 cm. Step 3: Combine the totals from both pairs of sides. 16 + 10 = 26 cm. So, the total length of all the sides is 26 cm.

  9. A rectangle has 4 sides. Two sides are 8 units long and two sides are 5 units long. What is the total distance around the rectangle? Answer: 26 Solution: A rectangle has 4 sides. The total distance around it is called the perimeter. Identify the lengths of all sides.
    Full step-by-step solution

    A rectangle has 4 sides. The total distance around it is called the perimeter. Step 1: Identify the lengths of all sides. The problem states that two sides are 8 units long and the other two sides are 5 units long. Step 2: Add the lengths of all four sides together. One way to do this is to add: side1 + side2 + side3 + side4. This is: 8 + 5 + 8 + 5 Step 3: Perform the addition. First, add 8 + 5 to get 13. Then, add 13 + 8 to get 21. Finally, add 21 + 5 to get 26. Step 4: Alternative method using multiplication and addition. Since there are two sides of 8 units, their total length is 2 * 8 = 16. Since there are two sides of 5 units, their total length is 2 * 5 = 10. Now, add these two totals: 16 + 10 = 26. Step 5: Conclusion. Both methods give the same result. The total distance around the rectangle is 26 units.