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Question
represent a sum of 3 and 4. this shows the commutative property of addition. 3 + 4 = 7 and 4 + 3 = 7 4. circle the two addends which make a sum of the shaded 12. write the number sentence. 4 + 8 = 12 5. shade a diagonal of numbers green that show the sums equal to 9. 6. shade a row of numbers yellow that represents sums with one addend of 10. problem solving 7. practice justify conclusions jasmine had 11 friends over at her house. every time the door - bell rang, 2 more friends arrived. the door - bell rang 3 times. how many friends did jasmine have over altogether? 8. steve colors the following sums on an addition table. if he continues the pattern, will the numbers continue to be even? explain. 12, 14, 16, 18 test practice 9. danielle is saving for a bicycle. her last 4 bank deposits are shown in the table. if the pattern continues, how much will her next bank deposit be? a $2 b $16 c $17 d $19 bank deposits $9 $11 $13 $15?
Step1: Analyze initial number of friends
Jasmine initially had 11 friends.
Step2: Calculate number of new - arrived friends
The doorbell rang 3 times, and 2 more friends arrived each time. So the number of new - arrived friends is $2\times3 = 6$.
Step3: Calculate total number of friends
To find the total number of friends, add the initial number of friends and the new - arrived friends. So $11+6=17$.
The sequence 12, 14, 16, 18 is an arithmetic sequence with a common difference of 2. An even number is a number divisible by 2. If we start with an even number and add 2 (an even number) each time, the result will always be an even number. Because if $a$ is an even number, $a = 2k$ for some integer $k$, and $a + 2=2k + 2=2(k + 1)$ which is also an even number.
The bank - deposit amounts are 9, 11, 13, 15. This is an arithmetic sequence with a common difference of 2. To find the next term, add 2 to the last given term. So $15+2 = 17$.
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