True/False Equations

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True/False Equations · Grade 1 · Worksheet 2

1. True or false: 9 + 7 = 15 Answer: A. false Solution: Calculate the left side: 9 + 7 9 + 7 = 16 Compare to the right side: 15 Since 16 does not equal 15, the equation is false.
   Full step-by-step solution

   Step 1: Calculate the left side: 9 + 7 Step 2: 9 + 7 = 16 Step 3: Compare to the right side: 15 Step 4: Since 16 does not equal 15, the equation is false.

2. Hana has 10 apples. She gives 6 apples to her friend Matiu. Hana says, '10 − 6 = 6.' Is this true or false? Answer: false Solution: Hana starts with 10 apples. Step 2: She gives away 6 apples, so we subtract 6 from 10: 10 − 6 = 4. Step 3: Hana says the answer is 6, but 10 − 6 = 4, not 6.
   Full step-by-step solution

   Step 1: Hana starts with 10 apples. Step 2: She gives away 6 apples, so we subtract 6 from 10: 10 − 6 = 4. Step 3: Hana says the answer is 6, but 10 − 6 = 4, not 6. Therefore, the statement is false.

3. There are 4 rows of desks in the classroom. Each row has 3 desks. How many desks are there in total? Answer: 12 Solution: We have 4 rows of desks. Each row contains 3 desks. We need to find the total number of desks.
   Full step-by-step solution

   Step 1: Understand the problem. We have 4 rows of desks. Each row contains 3 desks. We need to find the total number of desks. Step 2: Think about the operation. If each row has the same number of desks, we can find the total by multiplying the number of rows by the number of desks in each row. Step 3: Write the multiplication. Number of rows = 4 Desks per row = 3 Total desks = 4 × 3 Step 4: Perform the multiplication. 4 × 3 = 12 Step 5: State the final answer. There are 12 desks in total.

4. 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.

5. Is 9 = 6 + 3 true or false? Answer: A. true Solution: Look at the right side of the equation: 6 + 3. Add 6 and 3 together. 6 + 3 = 9.
   Full step-by-step solution

   Step 1: Look at the right side of the equation: 6 + 3. Step 2: Add 6 and 3 together. 6 + 3 = 9. Step 3: Compare this result to the left side of the equation, which is 9. Step 4: Since 9 is equal to 9, the equation is true.

6. True or false: 9 + 4 = 13 Answer: B. true Solution: Look at the left side of the equation: 9 + 4. Add the two numbers together: 9 + 4 = 13. Compare the result (13) to the number on the right side of the equation (13).
   Full step-by-step solution

   Step 1: Look at the left side of the equation: 9 + 4. Step 2: Add the two numbers together: 9 + 4 = 13. Step 3: Compare the result (13) to the number on the right side of the equation (13). Step 4: Since both sides are equal (13 = 13), the equation is true.

7. Liam has 8 toy cars. His friend Noah gives him 4 more toy cars. How many toy cars does Liam have now? Answer: 12 Solution: Liam starts with 8 toy cars. Noah gives him 4 more toy cars. Add the two amounts together: 8 + 4 8 + 4 = 12 The answer is 12.
   Full step-by-step solution

   Step 1: Liam starts with 8 toy cars. Step 2: Noah gives him 4 more toy cars. Step 3: Add the two amounts together: 8 + 4 Step 4: 8 + 4 = 12 The answer is 12.

8. A square has 4 equal sides. If one side is 6 cm long, what is the total distance around the square? Answer: 24 Solution: A square has 4 sides. All 4 sides are equal in length. One side is 6 cm long.
   Full step-by-step solution

   Step 1: A square has 4 sides. Step 2: All 4 sides are equal in length. Step 3: One side is 6 cm long. Step 4: To find the total distance around, add the length of all 4 sides: 6 + 6 + 6 + 6 Step 5: 6 + 6 = 12, and 12 + 6 = 18, and 18 + 6 = 24. The total distance around the square is 24 cm.