Expert: Steve Holleran - 4/14/2007

Question
I have some questions in my H.S. workbook. Maybe you can tell me if my answers are correct. My answers are in parentheses.

Solve the equation: 7x = 42

a. x = -6
(b. x = 6)
c. x = 7
d. x = -7


Solve this inequality: 3p - 6 > 21

a. p > -9
(b. p > 9)
c. p > -5
d. p > 5

                   h
Solve the equation: - = 7
                   9
      7
a. h = -
      9

b. h = -63

        2
c. h = 1 -
        7

(d. h = 63)


Solve this inequality: 9h + 2 < -79

a. h < -79
b. h < 9
c. h < -10
d. h < 10

I don't know this answer


Simplify this expression: 13 + (-12) - (-5) = ?

a. -6
b. -30
(c. 6 )
d. 30


Solve this problem: -282 - ( + 1,017 ) = ?

a. 1299
b. -1299
c. -735
(d. 735)

                    y
Solve this equation: - + 5 = 0
                    9

a. y = 45
b. y = 5
( c. y = -45 )
d. y = -5


If five times a number plus two is 17, what is the number?

a. 2
b. 3
( c. 5 )
d. 7


Solve this equation: 4y + 228 = 352

a. y = -31
( b. y = 31 )
c. y = 145
d. y = 3
                    

Solve this equation: 12y = 132

(a. y = 11 )

       11
b. y =  -
       12     

c. y = 144

      1
d. y = -
      11


Given the formula K = LMN, what is the formula for M?
      LN
a. M = -
      K

b. M = LNK

      KL  
c. M = -    
      N

        K
( d. M = -  )
       LN    


Simplify this expression: 4m + 9 + 5m - 12 = 42

(a. m = 5 )
b.  m = -5
c. m = 4
d. m = -4


Solve this equation: 2s + s + 12 =132

a. s = 120
( b. s = 40 )
c. s = -30
d. s = 9

Solve this equation: 80 = 3y + 2y +4 + 1

a. y = -15

      1
b. y = -
      5

( c. y = 15 )
d. y = 75


Solve this inequality: 3q + 11 + 8q > 99

a. q > 11
     
      1
b. q > -
      8

c. q > 88

( d. q > 8 )


Sue has a balance of $35 in her checking account. She writes one check for $10 & three checks for $9 each. What is her balance now?

a.18
( b. -2 )
c. 54
d. -11


Simplify this expression: 4p + 9 (-7p) + 2 = ?

a. 11p + 11
b. 3p + 7
( c. -3p + 11 )
d. 3p + 11

Solve this equation: -9h - 6 + 12h + 40 = 22

a. h = 24
b. h = 4
( c. h = -4 )
      
      -4
d. h =  -
       7


Solve this inequality:  3p - 16 < 20

a. p < -12

      1
b. p < -
      3

( c. p < 12 )

        1
d. p < 1 -
        3

                      j
Solve this inequality: - - 8 < 4
                      4  



THANKS!!!

a. j > -12
b. j < 12
c. j< -48
( d. j < 48 )  

Answer
Hi Bri,

Well, this certainly is a lot of questions!  All I would ask if you return in the future is that you number the questions, its easier to refer to them that way.

Okay, I'm only going to go over the ones that you said you didn't know how to do or the ones that are incorrect.  You did very well--only three I need to discuss.  All the rest are correct.

In the fourth question,   

                 9h + 2 < -79

first subtract 2 from each side:

                      9h < -81

then divide by 9 :       h < -9


On the sixth question,  - 282 - (+1,017)  you want to
make this :             -282 + (-1,017) = -1,299


On the eighth question, if you think of the number as "n"
you can write:

                  5n + 2 = 17

so                     5n = 15   and n = 3.

The only other one I question is the way the 17th is written:

         4p + 9(-7p) + 2

I don't think you want the parentheses, or else a + sign is missing.  I'm thinking it should be:

         4p + 9 + (-7p) + 2.

In any case, your answer here is correct.


Hope this helps you out.


Steve Holleran