Answer:
Btw I wouldnt mind if you gave me brainliest answer fam. I did ya homework.
1) ±12 is the real answer. They messed up when they didn't change the -(7-6d) into -7+6d and instead they kept the -6d as it was and forgot the negative sign infront of the parenthesis affects the entire parenthesis, not just the first number.
2) 10a-2. 6a and 4a are like terms and the 6 and 4 are coefficients and 3 and -5 are constant terms.
3) 7y-12. -3y and 10y are like terms and the -3 and 10 are coefficients and the 2 and -14 are constant terms.
4) 16b+8. 7b, -b, and 10b are like terms and 7, -1, and 10 are coefficients. The 8 is the constant term.
5) -8c+6. the c and -9c are like terms and the 1 and -9 are coefficients and -9 and 15 are constant terms.
6) 10z+17. 11z, 3z, and -4z are like terms and 11, 3, and -4 are coefficients and 17 is the constant terms.
7) 8m+8. -8m and 16m are like terms and -8 and 16 are coefficients. -24 and 32 are constant terms.
8) 7x+8
9) 19z-58
10) 23p-12
11) -17w-1
12) -14j+3
13) 7r-10
14) -15x²-22
15) 12t+3
16) -66v²+92
17) -6f+14
18) -22h-31
19) -18k²-71
20a) 7t+3w
20b) 445 calories burned
Step-by-step explanation:
1) (Explained in answer)
2-7) Like terms are terms that contain the same variables raised to the same power. Constant terms are just numbers on their own, without variables and stuff like that. Coefficients are the numbers that stand next to a variable. For example, the 3 in 3x is a coefficient.
8-19) Just use P.E.M.D.A.S. and combine like terms till its simplified.
20a) 3 calories are burned per minute in your workout so for your expression you have to write, put down 3w with w representing how many minutes you workout. And 7 calories are burned every minute in soccer. So you write down 7t with t representing how many minutes you play soccer.
20b) Use you equation that you just made for this question and fill in t with 55 minutes. It should look like this: 7(55)+3w. It said earlier in the problem that you play soccer and you workout for 75 minutes. so subtract 55 from 75 and you get 20 minutes. Meaning you workout 20 minutes a day. So put that in your equation. 7(55)+3(20). Now simplify that and you should get 445. You burned 445 calories that day.
