## anonymous one year ago l2a+1l=1

1. anonymous

that is better this is an absolute value equation so it requires solving two separate equations

2. anonymous

one is just what you see as if the absolute value signs are not there $2a+1=1$ which you can solve in two easy steps

3. anonymous

the other is what you get when you change the sign of the number on the right, i.e $2a+1=-1$ again two easy steps to solve

4. anonymous

so you pretend the absolute value sign is not there?

5. anonymous

for one of them yes, but you have to solve two all together

6. anonymous

so lets go ahead and solve them start with $2a+1=1$ and subtract 1 from both sides, what do you get?

7. anonymous

you get 2a=0

8. anonymous

right which means $$a=?$$

9. anonymous

0?

10. anonymous

yes ! now on to the next equation

11. anonymous

the next one is $2a+1=-1$ again subtract 1, what do you get?

12. anonymous

2a=-2

13. anonymous

right, and now divide by 2

14. anonymous

A=-1

15. anonymous

yes lets recap

16. anonymous

if you have an absolute value equation like $|2x+3|=5$ you have to solve two equations:$2x+3=5$ and also $2x+3=-5$

17. anonymous

so on a graph it would look like |dw:1439951388453:dw|

18. anonymous

those two numbers, yes

19. anonymous

okie tysm

20. anonymous

btw the reason you were getting lots of confusion was because they thought you were asked to solve $12a+11=1$

21. anonymous

yw

22. anonymous

oh lol ic

23. anonymous

can u help me with another question?

24. anonymous

sure

25. anonymous

as long as it is not statistics or geometry

26. anonymous

yeah no its not

27. anonymous

-3a+4=-14

28. anonymous

no absolute values this time right?

29. anonymous

no

30. anonymous

a) subtract 4 from both sides what do you get?

31. anonymous

-3a=-18

32. anonymous

ok good now divide both sides by $$-3$$

33. anonymous

a=6

34. anonymous

bingo

35. anonymous

omg tysfm ur so smart

36. anonymous

lol you are quite welcome

37. anonymous

i suck at math xD

38. anonymous

actually you do not

39. anonymous

most people have trouble at this level with the signed number arithmetic you do not if you are comfortable with that, you can do all these btw you did them mostly yourself

40. anonymous

can i ask u some more questions?

41. anonymous

shoot

42. anonymous

twelve is added to the product of a number and 5. the result is -3. find the number

43. anonymous

ok here we need to translate in to math product means multiply

44. anonymous

so we pick a variable, or rather you pick one that will be "a number"

45. anonymous

x

46. anonymous

lol you have no imagination, i would have picked $$\xi$$ but we will use $$x$$

47. anonymous

xD

48. anonymous

the "the product of a number and 5" will translate as $$5x$$

49. anonymous

idky but ur making me want 2 actually learn

50. anonymous

imagine!

51. anonymous

now we add$$12$$ to $$5x$$ to get what?

52. anonymous

5x+12? or 17x?

53. anonymous

first one

54. anonymous

okay

55. anonymous

$5x+12x=17x$ but $5x+12=5x+12$

56. anonymous

now you are told that this give you $$-3$$ so final job is to solve $5x+12=-3$ takes two steps

57. anonymous

subtract 12 witch gives u 5x=-15

58. anonymous

yup next?

59. anonymous

then divide 5 and u get x=-3

60. anonymous

ok i guess you are really not so "bad at math" after all

61. anonymous

lool

62. anonymous

at least not as bad as i was

63. anonymous

u used 2 be bad at math?

64. anonymous

im shocked

65. anonymous

look, it is not like you are born knowing this you have to practice is all

66. anonymous

ic ic

67. anonymous

you got more, or are you done?

68. anonymous

i have a few more

69. anonymous

go ahead and ask if you want, or try them and ask btw who does homework in the middle of august?

70. anonymous

its a summer packet

71. anonymous

kk get you ready for fall

72. anonymous

julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. she then spent$30 on fuel for her car and half of the remaining money on a new tent for camping.she bought a pair of running shoes for $29.45 and had$17.75 left. how much did julie receive when she cashed her paycheck

73. anonymous

wow

74. anonymous

so much typing my fingers hurt

75. anonymous

guess we need a variable again guess we can recycle $$x$$ as the amount of her original paycheck

76. anonymous

i needa finsh this by 2day so my dad can unblock vantage smh

77. anonymous

lolol!!!

78. anonymous

fantage*

79. anonymous

this is so laggy i have 2 keep refreshing

80. anonymous

yeah i see that too

81. anonymous

ok lets start with the amount cashed as $$x$$ and start spending money

82. anonymous

first spent $10 so has $$x-10$$ left then spend another 30 so what is left now? 83. anonymous x-40? 84. anonymous right now here comes the confusing part 85. anonymous she spends half of that next, in other words half of $$x-40$$ do you know what that is? 86. anonymous um 20? 87. anonymous you forgot to take half of $$x$$ 88. anonymous so x-20? 89. anonymous you know, i have a much much better idea, lets approach this from a different way 90. anonymous okay 91. anonymous start at the end, and work backwards 92. anonymous julie cashed a paycheck and repaid her brother$10 that she had borrowed from him. she then spent $30 on fuel for her car and half of the remaining money on a new tent for camping.she bought a pair of running shoes for$29.45 and had $17.75 left. how much did julie receive when she cashed her paycheck 93. anonymous at the end she had $$17.75$$ before that she spent $$29.45$$ so how much did she have before spending the 29.45? 94. anonymous in other words, what is $$17.75+29.45$$? 95. anonymous 47.20 96. anonymous yeah that is what i get 97. anonymous that is the "half the remaining money" so she had twice this amount before buying the stupid tent how much is twice 47.20? 98. anonymous 94,40 99. anonymous i mean 94.40 100. anonymous yeah right both times 101. anonymous now add the reaming two amounts she spent 102. anonymous 134.40 103. anonymous looks reasonable 104. anonymous it is nice to do algebra without variables in math it is called "arithmetic" 105. anonymous lol 106. anonymous i have 4 more questions do u still wanna help me with them? 107. anonymous sure 108. anonymous$15 per answer

109. anonymous

\$25 for correct ones

110. anonymous

just kidding, go ahead lets see them

111. anonymous

im poor asf

112. anonymous

lmfao

113. anonymous

okay

114. anonymous

|dw:1439953689890:dw|

115. anonymous

man is that ugly

116. anonymous

lmfao fr

117. anonymous

thats a 0 not a d js

118. anonymous

add $$C$$ to both sides, which really just means write it

119. anonymous

$\frac{A}{B}x=D+C$ in other words

120. anonymous

oh ic ic

121. anonymous

then multiply both side by the "reciprocal" of$$\frac{A}{B}$$ which is $$\frac{B}{A}$$ USE PARENTHESES !!

122. anonymous

by which i mean put parentheses about the $$D+C$$

123. anonymous

so $\frac{ b }{ a } *\frac{ a }{ b }=(d+c)\frac{ b }{ }$

124. anonymous

$\frac{ b }{ a }$ *

125. anonymous

something like that

126. anonymous

$\huge x=\frac{b}{a}(c+d)$ looks somewhat more professional

127. anonymous

lol okay ty

128. anonymous

yw

129. anonymous

3 more until fantage?

130. anonymous

mhm

131. anonymous

state whether the percent of change is a percent of increase or a percent of decrease. then find the percent of change. original:55 new:44

132. anonymous

you tell me is going from 55 to 44 an increase or a decrease?

133. anonymous

decrease

134. anonymous

ok so we got that out of the way now lets compute the difference what is $$55-44$$?

135. anonymous

11

136. anonymous

ok now compare to the original amount of 55 by division,i.e compute $\frac{11}{55}$

137. anonymous

0.2?

138. anonymous

right, and now turn it in to a percent by moving the decimal two place to the right

139. anonymous

20% decrease

140. anonymous

?

141. anonymous

yes

142. anonymous

two more

143. anonymous

wow okay

144. anonymous

a clown is preparing for a party by inflating one ballon for every invited guest. just when she has half of the necessary gallons inflated, 3 of them pop. she inflates 5 more balloons, and 2 go pop. then 6 balloons are carried away by the wind. she finishes by inflating 16 more balloons, and then learns that only 12 guest will attend the party. how many extra balling did the clown inflate

145. anonymous

???

146. anonymous

huh?

147. anonymous

a clown is preparing for a party by inflating one ballon for every invited guest. just when she has half of the necessary gallons inflated, 3 of them pop how many were originally invited? btw i assume gallons means balloons

148. anonymous

ballons not balling lmfao

149. anonymous

and yea ballons

150. anonymous

omg autocorrect

151. anonymous

a clown is preparing for a party by inflating one balloon for every invited guest. just when she has half of the necessary balloons inflated, 3 of them pop. she inflates 5 more balloons, and 2 go pop. then 6 balloons are carried away by the wind. she finishes by inflating 16 more balloons, and then learns that only 12 guest will attend the party. how many extra balloons did the clown inflate

152. anonymous

sorry for the misspelling

153. anonymous

i think either there is not enough information or your answer has to have a variable in it

154. anonymous

since we don't know how many guests were invited originally, we have no idea how many extra there are but we can write something i suppose

155. anonymous

or we can assume that the number is 12 to begin with

156. anonymous

lets say she starts with half of 12, which is 6 balloons

157. anonymous

3 pop, how many left?

158. anonymous

3

159. anonymous

inflates 5 more now how many?

160. anonymous

??

161. anonymous

report you? i don't even know you!

162. anonymous

i dont report, i just ban bye

163. anonymous

8

164. anonymous

ok now 2 pop how many left?

165. anonymous

6

166. anonymous

now 6 get carried away how many now?

167. anonymous

nuffin

168. anonymous

right

169. anonymous

then inflates 16

170. anonymous

i feel bad for the clown

171. anonymous

which is 4 more than the 12 needed

172. anonymous

not a good job i imagine

173. anonymous

lol

174. anonymous

brand new??!!

175. anonymous

okay the last one has 2 do with geometry

176. anonymous

not so good at that

177. anonymous

okay ill do that one on with my brother he's good at math

178. anonymous

ok good luck !!

179. anonymous

okie tysfm for everything

180. anonymous

you are quite welcome see you again some time i am sure

181. anonymous

lol yea buh byez