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Word Problems
Pot Pourri / Helpful Tips
100

x-3 = -11

x= -8

100

5x-49=-2x

x=7

100

-6 = -4 + (x / 7)

-14=x

100

a/2.3=-0.9

a=-2.07

100

A colony of ants carried away 14 of your muffins.  That was  2/5  of all of them!  With how many did you start?

35 Muffins

100

What's the Helpful Tip - Integers:

Adding a Negative with a Negative.

Example: 

(-2)+(-3)=

The Negative gets bigger. 

Ex. The Temperature is (-4) and will go down 5 more degrees tomorrow. 

200

-5x=-35

x=-7

200

(x + 10) / 3 = 3

x=-1

200

x-1=4/9

x=13/9

200

5.7 x + 8.2 = -5.48

x=2.4  OR  x= (12/5)

200

Mark had some paper with which to make note cards.  On his way to his room he found two more pieces to use.  In his room he cut each piece of paper in half.  When he was done he had 16 half-pieces of paper.  With how many sheets of paper did he start?

Mark started with 6.

200

Whats the Helpful Tip - Integers:

Subtracting a Negative with a Negative.

Example:

(-5)-(-3)=

The second negative number becomes positive. Then becomes a subtraction sentence, where you take the sign of the bigger number.

300

v/2=-4/5

v=-4

300

4 (2n - 7) = -92

n=-8

300

y/4-(7y)/3=5

y=-12/5

300

1.2b-17=8+0.7b

b=50

300

On Tuesday Natalie bought ten boxes.  On Wednesday half of all the boxes that she had were destroyed.  On Thursday there were only 13 left.  How many did she have on Monday?

She had 16 boxes.

300

DAILY DOUBLE

Whats the "solution"?

3(x-2)-2(2x-3)=10-x

No Solution

400

7-x=10

x=-3

400

4x-6x+4=5x+10-3x+3

x=-9/4

400

2/3x+3/4(35-x)=25

x=15

400

3.42x-11.13-1.4x=2

x=6.5

 OR

x=13/2

400

A cell phone company offers two different plans.

Plan A:Monthly fee of $28; 30 free minutes, $0.45 per additional minute

Plan B: Monthly fee of $40, No free minutes, $0.25 per minute

When would they equal one another?




The monthly costs for both plans are the same at 127.5 min

400

Is this correct? Why or why not?

No not correct. The answer is  5/12 

500

6/-x=3/5

x=-10

500

7n - 40 = 8 + 5(6n - 5)

n = -1

500

(2x-1)/3-(x+10)/6=(10-3x)/5-(x+40)/2

x=-10

500

1.1x-0.95(500-x)=-65

200

500

Find two consecutive odd integers if the larger is four less than one third the smaller.

The integers are −9 and −7


500

Solve for   y  

(x-2)/3+(y-1)/2=1/3


y=-2/3x+3