Question

14 problems, solve all correctly to be awarded brainiest. Tip: None of the variables have a listed value, so just add or subtract them.Do not assume for example that y=1 because it does not. If you do not answer them all, your question will be reported as incomplete and removed.
YOU MUST SHOW YOUR WORK
[Find the sum]
1. (5 – t) + (3t + 2)
2. 2(-5y +6) + (2y -8)
3. 5(0.3s – 2) + 2(5 – 3.4)
4. 1/5(-15w – 20) + 1/2(3 – 4w)
5. (7k + 9) + (4k – 3)
6. 4(2.5g – 4) + 3(1.2g – 4)
7. 1/3(6p – 3) + 1/7(7p + 14)
8. 1/8(16k – 24) + 1/5(2 + 10k) {K is not 1000. K is a variable.}
[Find the difference]
9. (8 – u) – (5u +1)
10. (3h + 4) – 6(5 – 1.4h)
11. 1/4(16j – 12) – 1/9(18j + 45)
12. (2x + 7) – 6(5x – 8)
13. (12 + 7.2b) – 3(0.9b – 4)
14. 2/3(12n + 6) -1/5(10n – 2)

Answers

  1. Answer:
    1. 2t+7
    2. -8y + 4
    3. 3/2s-6.8
    4. -5w-5/2
    5. 11k+6
    6. 13.6g-28
    7. 3p+1
    8. 4k-13/5
    9. -6u+7
    10. 11.4h-26
    11. 2j-8
    12. -28x – 55
    13. 4.5b + 24
    14. 6n + 22/5
    Step-by-step explanation:
    1. (5 – t) + (3t + 2)
    Let’s add the variables first. -t + 3t = 2t. Now do 5+2 for 7, and you will get 2t+7
    2. 2(-5y +6) + (2y -8)
    First, distribute the left side. (-10y + 12) + (2y – 8)
    Then, add the variables -10 + 2 = -8y
    Now, add the constants 12+ – 8 = 4
    -8y + 4
    3. 5(0.3s – 2) + 2(5 – 3.4)
    Distribute first, on both sides, and you will get (3/2s-10)+(10-6.8)
    There are no other variables, so we just add the constants.
    -10+10-6.8 = -6.8. So we get
    3/2s-6.8
    4. 1/5(-15w – 20) + 1/2(3 – 4w)
    Distribute both sides, this will give (-3w-4)+(3/2-2w)c.
    Now add the variables. -3w+-2w = -5w
    Then do -4+3/2 for -5/2.
    -5w-5/2
    5. (7k + 9) + (4k – 3)
    Add the variables, 7k+4k=11k, then Add the constants. 9+-3= 6.
    11k+6
    6. 4(2.5g – 4) + 3(1.2g – 4)
    Distribute and you will get (10g-16)+(18/5g-12).
    Add the variables for 68/5g (or 13.6g)
    Add the constants, -16+-12 = -28.
    13.6g-28
    7. 1/3(6p – 3) + 1/7(7p + 14)
    Distribute first. (2p-1)+(p+2)
    Add variables, 2p+p = 3p
    Add constants, -1 + 2 = 1
    3p+1
    8. 1/8(16k – 24) + 1/5(2 + 10k)
    Distribute first.
    (2k – 3) + (2/5 +2k)
    Add variables, 2k+2k = 4k
    Add constants, -3+2/5 = -13/5
    4k-13/5
    9. (8 – u) – (5u +1)
    Subtract the variables.
    -u-5u =-6u
    Subtract constants, 8-1 = 7.
    -6u+7
    10. (3h + 4) – 6(5 – 1.4h)
    Distribute first, (3h+4)-(30-8.4h)
    Subtract variables. 3h- -8.5h = 11.4h
    Subtract constants. 4-30 = -26
    11.4h-26
    11. 1/4(16j – 12) – 1/9(18j + 45)
    Distribute, (4j-3)-(-2j+-5)
    Subtract variables, 4j-2j = 2j
    Subtract constants, -3 – 5 = -8
    2j-8
    12. (2x + 7) – 6(5x – 8)
    Distribute first. (2x+7)-(30x-48)
    Subtract variables, 2-30 = -28x
    Subtract constants, 7- – 48 = 55
    -28x – 55
    13.  (12 + 7.2b) – 3(0.9b – 4)
    Distribute,
    (12+7.2b) – (2.7b-12)
    Subtract variables. 7.2b-2.7b = 4.5b
    Subtracts constants. 12- – 12 = 24
    4.5b + 24
    14. 2/3(12n + 6) -1/5(10n – 2)
    Distribute,
    (8n + 4) – (2n – 2/5)
    Subtract variables, 8n-2n = 6n
    Subtracts constants, 4 – – 2/5 = 22/5
    6n + 22/5
    Sorry this took so long, showing your work for simplification is tedious.

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