True/False Equations

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True/False Equations · Grade 1 · Worksheet 3

1. True or false: 9 + 4 = 12 Answer: A. false Solution: Calculate the left side: 9 + 4 9 + 4 = 13 Compare to the right side: 12 Since 13 does not equal 12, the equation is false.
   Full step-by-step solution

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

2. True or false: 14 - 6 = 9 Answer: A. false Solution: Calculate the left side: 14 - 6 14 - 6 = 8 Compare to the right side: 9 Since 8 does not equal 9, the equation is false.
   Full step-by-step solution

   Step 1: Calculate the left side: 14 - 6 Step 2: 14 - 6 = 8 Step 3: Compare to the right side: 9 Step 4: Since 8 does not equal 9, the equation is false.

3. Sophia has 15 crayons. She gives 7 crayons to her friend Ava. Sophia says she now has 8 crayons left. Is this true or false? Answer: true Solution: Sophia starts with 15 crayons. She gives away 7 crayons, so we subtract: 15 - 7. 15 - 7 = 8.
   Full step-by-step solution

   Step 1: Sophia starts with 15 crayons. Step 2: She gives away 7 crayons, so we subtract: 15 - 7. Step 3: 15 - 7 = 8. Step 4: Sophia says she has 8 crayons left, which matches our answer. Therefore, the statement is true.

4. Noah has 7 toy dinosaurs. For his birthday, his grandma gives him 6 more toy dinosaurs. How many toy dinosaurs does Noah have now? Answer: 13 Solution: Noah starts with 7 toy dinosaurs. His grandma gives him 6 more toy dinosaurs. To find the total, add the dinosaurs he started with to the dinosaurs he received: 7 + 6 7 + 6 = 13 Noah has 13 toy dinosaurs now.
   Full step-by-step solution

   Step 1: Noah starts with 7 toy dinosaurs. Step 2: His grandma gives him 6 more toy dinosaurs. Step 3: To find the total, add the dinosaurs he started with to the dinosaurs he received: 7 + 6 Step 4: 7 + 6 = 13 Noah has 13 toy dinosaurs now.

5. 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.

6. Mere has 14 flowers. She gives 6 flowers to her friend Hana. Mere says she now has 8 flowers. Is this true or false? Answer: true Solution: Mere starts with 14 flowers. She gives away 6 flowers, so we subtract 6 from 14. 14 - 6 = 8 Mere says she has 8 flowers, which matches our calculation.
   Full step-by-step solution

   Step 1: Mere starts with 14 flowers. Step 2: She gives away 6 flowers, so we subtract 6 from 14. Step 3: 14 - 6 = 8 Step 4: Mere says she has 8 flowers, which matches our calculation. Therefore, the statement is true.

7. Lily has 8 crayons in her box. Her teacher gives her 5 more crayons. How many crayons does Lily have now? Answer: 13 Solution: Lily starts with 8 crayons Her teacher gives her 5 more crayons Add the crayons together: 8 + 5 8 + 5 = 13 Lily has 13 crayons now.
   Full step-by-step solution

   Step 1: Lily starts with 8 crayons Step 2: Her teacher gives her 5 more crayons Step 3: Add the crayons together: 8 + 5 Step 4: 8 + 5 = 13 Lily has 13 crayons now.

8. Noah has 12 toy dinosaurs. He gives 4 of them to his friend Emma. How many toy dinosaurs does Noah have left? Answer: 8 Solution: Noah starts with 12 toy dinosaurs. He gives away 4 toy dinosaurs to Emma. To find how many he has left, subtract 4 from 12.
   Full step-by-step solution

   Step 1: Noah starts with 12 toy dinosaurs. Step 2: He gives away 4 toy dinosaurs to Emma. Step 3: To find how many he has left, subtract 4 from 12. Step 4: 12 - 4 = 8 Noah has 8 toy dinosaurs left.

9. Is 8 + 7 equal to 15? Answer yes or no. Answer: B. yes Solution: Write down the problem. We are checking if 8 + 7 equals 15. Add the two numbers.
   Full step-by-step solution

   Step 1: Write down the problem. We are checking if 8 + 7 equals 15. Step 2: Add the two numbers. First, take 8 and add 7 to it. 8 + 7 = 15. Step 3: Compare the result to the given number. The problem asks if 8 + 7 equals 15. Our calculation shows 8 + 7 = 15, so the two are equal. Step 4: State the conclusion. Since 8 + 7 equals 15, the answer is yes.

10. 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.