Question

he fell off the empire state building?
simplify each expression below. circle the letter of each answer. then rearrange the circled letters in each section to make a word. write the words in order in the boxes at the bottom of the page. you will find the answer to the title question.
① 3x + 2(5x - 7)
② 9 - 3(2x - 4)
③ 8x - 6(3 - 2x)
④ -5 + 5(x + 4)
⑤ 4(6n + 9) - 10n
⑥ 14 - 3(4n - 1)
⑦ -8n - 8(-4 - 2n)
⑧ 7k - 2(3k + 1) - 9
⑨ -6 + 5(8 - k) - 8k
⑩ k + 1 - 4(2k - 9)
⑪ -10k - 3 + 2(5 + 6k)
⑫ 8 + 9x + 4(11 - 2x)
⑬ -4(-2x - 7) + 6x - 7
⑭ 9 - 3(-4 + 3x) + 12x
⑮ 5(2y - 4) + 2(y + 9)
⑯ -4(3u - 1) + 7(3 - 2u)
⑰ 6(-5u + 1) - 3(4u - 12)
⑱ 3(-u - 5) + 8(2u + 1)
s 20x - 3
y 20x - 18
e 13x - 14
n 5x + 11
t 5x + 15
h -6x + 21
o 14n + 36
s 19n + 36
e -12n + 13
n -12n + 17
w 8n + 32
t 8n - 1
l 2k + 7
c -13k + 34
a -7k + 37
i -7k + 30
k 2k - 4
l k - 11
a 14x + 30
r 6x + 52
h 3x + 21
m x + 52
t 3x + 6
i 14x + 21
a 12y - 4
x 12y - 2
w -42u + 9
y -42u + 42
s 13u - 12
d -5u + 25
r 13u - 7
a -26u + 25

Explanation:

Step1: Simplify 3x + 2(5x - 7)

Expand 2(5x - 7) to get 10x - 14, then 3x+10x - 14 = 13x - 14. The answer is E.

Step2: Simplify 9 - 3(2x - 4)

Expand 3(2x - 4) to get 6x - 12, then 9-(6x - 12)=9 - 6x+12=-6x + 21. The answer is H.

Step3: Simplify 8x - 6(3 - 2x)

Expand 6(3 - 2x) to get 18 - 12x, then 8x-(18 - 12x)=8x - 18+12x = 20x - 18. The answer is Y.

Step4: Simplify -5 + 5(x + 4)

Expand 5(x + 4) to get 5x+20, then -5 + 5x+20=5x + 15. The answer is T.

Step5: Simplify 4(6n + 9) - 10n

Expand 4(6n + 9) to get 24n+36, then 24n+36 - 10n=14n + 36. The answer is O.

Step6: Simplify 14 - 3(4n - 1)

Expand 3(4n - 1) to get 12n - 3, then 14-(12n - 3)=14 - 12n+3=-12n + 17. The answer is N.

Step7: Simplify -8n - 8(-4 - 2n)

Expand 8(-4 - 2n) to get -32 - 16n, then -8n-(-32 - 16n)=-8n + 32+16n=8n + 32. The answer is W.

Step8: Simplify 7k - 2(3k + 1) - 9

Expand 2(3k + 1) to get 6k+2, then 7k-(6k + 2)-9=7k - 6k-2 - 9=k - 11. The answer is L.

Step9: Simplify -6 + 5(8 - k) - 8k

Expand 5(8 - k) to get 40 - 5k, then -6+40 - 5k-8k=-13k + 34. The answer is C.

Step10: Simplify k + 1 - 4(2k - 9)

Expand 4(2k - 9) to get 8k - 36, then k + 1-(8k - 36)=k + 1 - 8k+36=-7k + 37. The answer is A.

Step11: Simplify -10k - 3 + 2(5 + 6k)

Expand 2(5 + 6k) to get 10 + 12k, then -10k - 3+10 + 12k=2k + 7. The answer is L.

Step12: Simplify 8 + 9x + 4(11 - 2x)

Expand 4(11 - 2x) to get 44 - 8x, then 8 + 9x+44 - 8x=x + 52. The answer is M.

Step13: Simplify -4(-2x - 7) + 6x - 7

Expand -4(-2x - 7) to get 8x + 28, then 8x + 28+6x - 7=14x + 21. The answer is I.

Step14: Simplify 9 - 3(-4 + 3x) + 12x

Expand 3(-4 + 3x) to get -12 + 9x, then 9-(-12 + 9x)+12x=9 + 12 - 9x+12x=3x + 21. The answer is H.

Step15: Simplify 5(2y - 4) + 2(y + 9)

Expand 5(2y - 4) to get 10y - 20 and 2(y + 9) to get 2y+18, then 10y - 20+2y+18=12y - 2. The answer is X.

Step16: Simplify -4(3u - 1) + 7(3 - 2u)

Expand -4(3u - 1) to get -12u + 4 and 7(3 - 2u) to get 21 - 14u, then -12u + 4+21 - 14u=-26u + 25. The answer is A.

Step17: Simplify 6(-5u + 1) - 3(4u - 12)

Expand 6(-5u + 1) to get -30u+6 and 3(4u - 12) to get 12u - 36, then -30u+6-(12u - 36)=-30u+6 - 12u+36=-42u + 42. The answer is Y.

Step18: Simplify 3(-u - 5) + 8(2u + 1)

Expand 3(-u - 5) to get -3u - 15 and 8(2u + 1) to get 16u+8, then -3u - 15+16u+8=13u - 7. The answer is R.

Answer:

E, H, Y, T, O, N, W, L, C, A, L, M, I, H, X, A, Y, R