Question

1. Solve 3x − 9 + x > 27

a. x > 4.5
b. x < 4.5
c. x > 9
d. x < 9


3. Maria earns $8 an hour babysitting. Last week Maria made $64. She needs to have at least $150 for vacation. Which inequality can be used to determine how many more hours Maria needs to babysit before she is ready for vacation?

a.64x + 8 ≥ 150
b. 8x + 64 ≥ 150
c. 64x + 8 ≤ 150
d. 8x + 64 ≤ 150
5. Solve 4(5m + 6) − 8 ≤ 336.
a. m ≤ 16.9
b. m ≤ 16
c. m ≥ 16.9
d. m ≥ 16


6. Solve −4x + 15 > 59.

a. x < 11
b. x > −11
c. x < 11
d. x < -11

Answer 1

I lined up number 5 wronggggg,

Answer 2

\[3x − 9 + x > 27 \] combine like terms
\[4x-9>27\] add \(9\)
\[4x>36\] divide by \(4\)
\[x>9\]

Answer 3

On that one, don't you change the sign because you divide?

Answer 4

Like, it wouldn't be x >9 it would be x < 9 because you divided, yeah?

Answer 5

\[4(5m + 6) − 8 ≤ 336.\] add 8\[4(5m+6)\leq 344\]
divide by \(4\)\[5m+6\leq86\]

Answer 6

@satellite73

Answer 7

no

Answer 8

only change the inequality if you multiply or divide by a NEGATIVE number
4 is positive

Answer 9

Right, right! Thanks! Could you help me on the rest?

Answer 10

this one
\[−4x + 15 > 59. \] you would change the sign

Answer 11

\[-4x+15>59\] subtract 15\[-4x>44\] divide by \(-4\) and now you have to change it becuase \(-4\) is negative
\[x<-11\]

Answer 12

you can solve this \[5m+6\leq 86\] right?

Answer 13

I didn't understand number 5? /:

Answer 14

i wrote the solution above, did you see it? or would you like me to repeat it?

Answer 15

lol, don't be rude, I would divide 86 to 4? I don't understand

Answer 16

\[ 4(5m + 6) − 8 ≤ 336.\] add 8\[4(5m+6)\leq 344\]divide by \(4\)
\[5m+6\leq 86\] subtract \(6\)\[5m\leq 80\] divide by 5\[x\leq 16\]

Answer 17

OHHHHH! Damn, I see!

Answer 18

kk that is all right?

Answer 19

3?

Answer 20

did 3 first

Answer 21

ooh i see, did 1 first
3 is not done yet

Answer 22

at least means "greater than or equal to" as in "you have to be at least 21 to drink in this bar"

Answer 23

she already has 64 dollars, and makes $8 per hour, go with
\[8x+64\geq 150\]

Answer 24

Awesome! :)

Answer 25

awesome is not math on saturday night

Answer 26

Omg, I know :(

Answer 27

How would you put this iquality? If you add 13 to four times a certain number, the sum is less than 265. Let x represent the number. Write an inequality that can be solved to find the value of x.

Answer 28

@satellite73