Fact Families

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Answer Key & Explanations

Fact Families · Grade 1 · Worksheet 3

1. If 3 + 4 = 7, what is 7 - 3 = ? Answer: 4 Solution: We know from the problem that 3 + 4 = 7. This means 7 is made up of 3 and 4. If we start with the total (7) and take away one part (3), we are left with the other part.
   Full step-by-step solution

   Step 1: We know from the problem that 3 + 4 = 7. Step 2: This means 7 is made up of 3 and 4. Step 3: If we start with the total (7) and take away one part (3), we are left with the other part. Step 4: So, 7 - 3 = 4. The answer is 4.

2. Noah has 6 toy dinosaurs. His friend Mia gives him 3 more toy dinosaurs. How many toy dinosaurs does Noah have now? Answer: 9 Solution: Noah starts with 6 toy dinosaurs. Mia gives him 3 more toy dinosaurs. Add the two groups together: 6 + 3 6 + 3 = 9 Noah has 9 toy dinosaurs now.
   Full step-by-step solution

   Step 1: Noah starts with 6 toy dinosaurs. Step 2: Mia gives him 3 more toy dinosaurs. Step 3: Add the two groups together: 6 + 3 Step 4: 6 + 3 = 9 Noah has 9 toy dinosaurs now.

3. 7 + 2 = 9, so 9 - 2 = ? Answer: 7 Solution: We know from the problem that 7 + 2 = 9. This means 9 is made up of 7 and 2. If we start with the total (9) and take away one part (2), we are left with the other part (7).
   Full step-by-step solution

   Step 1: We know from the problem that 7 + 2 = 9. Step 2: This means 9 is made up of 7 and 2. Step 3: If we start with the total (9) and take away one part (2), we are left with the other part (7). Step 4: So, 9 - 2 = 7. The answer is 7.

4. If 2 + 7 = 9, what is 9 - 7 = ? Answer: 2 Solution: We know from the problem that 2 + 7 = 9. This means 9 is the total, and it is made of 2 and 7. If we start with the total (9) and subtract one of the parts (7), we are left with the other part.
   Full step-by-step solution

   Step 1: We know from the problem that 2 + 7 = 9. Step 2: This means 9 is the total, and it is made of 2 and 7. Step 3: If we start with the total (9) and subtract one of the parts (7), we are left with the other part. Step 4: So, 9 - 7 = 2. The answer is 2.

5. A rectangle is divided into 4 equal rows. Each row has 3 circles. How many circles are there in total? Answer: 12 Solution: We have a rectangle divided into 4 equal rows. Each row contains 3 circles. We need to find the total number of circles.
   Full step-by-step solution

   Step 1: Understand the problem. We have a rectangle divided into 4 equal rows. Each row contains 3 circles. We need to find the total number of circles. Step 2: Identify the operation. Since each of the 4 rows has the same number of circles (3), we can multiply the number of rows by the number of circles per row. Step 3: Perform the multiplication. Number of rows = 4 Circles per row = 3 Total circles = 4 × 3 Step 4: Calculate. 4 × 3 = 12 Step 5: State the final answer. There are 12 circles in total.

6. Liam has 4 red toy cars and 3 blue toy cars. He knows that 4 + 3 = 7. Using this fact, what is 7 - 3? Answer: 4 Solution: We know Liam has 4 red cars and 3 blue cars, making 7 cars total. The addition fact is 4 + 3 = 7. In a fact family, subtraction facts are related to addition facts.
   Full step-by-step solution

   Step 1: We know Liam has 4 red cars and 3 blue cars, making 7 cars total. Step 2: The addition fact is 4 + 3 = 7. Step 3: In a fact family, subtraction facts are related to addition facts. Step 4: If 4 + 3 = 7, then 7 - 3 = 4. Step 5: This makes sense because if you have 7 total cars and 3 are blue, then 4 must be red. The answer is 4.

7. Liam has 7 toy cars. His friend Emma gives him 3 more toy cars. How many toy cars does Liam have now? Answer: 10 Solution: Liam starts with 7 toy cars. Emma gives him 3 more toy cars. Add the two amounts together: 7 + 3 7 + 3 = 10 The answer is 10.
   Full step-by-step solution

   Step 1: Liam starts with 7 toy cars. Step 2: Emma gives him 3 more toy cars. Step 3: Add the two amounts together: 7 + 3 Step 4: 7 + 3 = 10 The answer is 10.

8. Liam has 7 toy cars. His sister Emma gives him 2 more toy cars. How many toy cars does Liam have now? Answer: 9 Solution: Liam starts with 7 toy cars. Emma gives him 2 more toy cars. To find the total number of toy cars Liam has now, add the number of new cars to the number of cars he had at the start.
   Full step-by-step solution

   Step 1: Liam starts with 7 toy cars. Step 2: Emma gives him 2 more toy cars. Step 3: To find the total number of toy cars Liam has now, add the number of new cars to the number of cars he had at the start. Step 4: Perform the addition: 7 + 2 = 9. Step 5: Therefore, Liam now has 9 toy cars.

9. Harper has 1 toy cars. Harper gets 6 more toy cars for their birthday. Now Harper has 7 toy cars in all. How many toy cars did Harper have before the birthday? Answer: 1 Solution: We know the total is 7 toy cars. Harper got 6 new toy cars. To find how many Harper had before, subtract the new ones: 7 - 6 = 1.
   Full step-by-step solution

   Step 1: We know the total is 7 toy cars. Step 2: Harper got 6 new toy cars. Step 3: To find how many Harper had before, subtract the new ones: 7 - 6 = 1. The answer is 1.

10. Emma has 6 stickers on her notebook. Her friend Noah gives her 4 more stickers. How many stickers does Emma have now? Answer: 10 Solution: Emma starts with 6 stickers. Noah gives her 4 more stickers. To find the total, add the two amounts: 6 + 4 6 + 4 = 10 Emma has 10 stickers now.
    Full step-by-step solution

    Step 1: Emma starts with 6 stickers. Step 2: Noah gives her 4 more stickers. Step 3: To find the total, add the two amounts: 6 + 4 Step 4: 6 + 4 = 10 Emma has 10 stickers now.