x-3 = -11
x= -8
5x-49=-2x
x=7
-6 = -4 + (x / 7)
-14=x
a/2.3=-0.9
a=-2.07
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
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.
-5x=-35
x=-7
(x + 10) / 3 = 3
x=-1
x-1=4/9
x=13/9
5.7 x + 8.2 = -5.48
x=2.4 OR x= (12/5)
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.
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.
v/2=-4/5
v=-4
4 (2n - 7) = -92
n=-8
y/4-(7y)/3=5
y=-12/5
1.2b-17=8+0.7b
b=50
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.
DAILY DOUBLE
Whats the "solution"?
3(x-2)-2(2x-3)=10-x
No Solution
7-x=10
x=-3
4x-6x+4=5x+10-3x+3
x=-9/4
2/3x+3/4(35-x)=25
x=15
3.42x-11.13-1.4x=2
x=6.5
OR
x=13/2
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
Is this correct? Why or why not?
No not correct. The answer is 5/12
6/-x=3/5
x=-10
7n - 40 = 8 + 5(6n - 5)
n = -1
(2x-1)/3-(x+10)/6=(10-3x)/5-(x+40)/2
x=-10
1.1x-0.95(500-x)=-65
200
Find two consecutive odd integers if the larger is four less than one third the smaller.
The integers are −9 and −7
Solve for y
(x-2)/3+(y-1)/2=1/3
y=-2/3x+3