Critique reasoning the absolute value of the sum of two differentintegers with the same sign is 8. pat says there are three pairs of integersthat match this description. do you agree? explain

Because it's the absolute value of the "end" result, there are exactly double the amount of results were we working with just positive integers (and 0), meaning we only have to work that out.

We know that there are 4 pairs of different integers that have a sum of 8:
0,8
1,7
2,6
3,5

4,4 is not a pair of two different integers and is therefore not included. We then multiply this by 2 in order to get the total amount that add up to 8, giving us a total of 8 pairs. Therefore, Pat is wrong.

yes

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

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