Chapter 1
(102x104) / (103/102)
=(106) / (101)
=(10(6-1))
=105
If a number is put into Scientific Notation its format is..
number x 10number
What is a linear equation?
An equation between two variables that gives a straight line when plotted on a graph.
What is this form called?
y1-y2=m(x1-x2)
Point Slope Form.
Solve the following using ELIMINATION.
x+3y=14
-x-4y=-10
y=-4 x=26
Simplify in Exponential Notation.
(b x b3)5/ (b2)4
(b5 x b15) / (b8)
b20-8=b12
What is (21.345 x 102) In SCIENTIFIC NOTATION!
Remember the rules...
2.1345 x 103
6x - 19 = 3x - 10
x = 3
Make the Y INTERCEPT FORM equation for a line using the following.
2m-y=7
y=2m-7
Solve using ELEMINATION!
2x + y = -4
5x – 3y = 1
x=-1
y=-2
John gets 214 when trying to solve the problem (102x112). Is he right? If he is wrong explain.
John is incorrect because in this case the exponents are the same not the base so you would get 1102
102x52/252
22
(2x + 5)/(x + 4) = 1
(2x + 5)/(x + 4) = 1
⇒ 2x + 5 = 1(x + 4)
⇒ 2x + 5 = x + 4
⇒ 2x - x = 4 - 5
x=-1
Make an equation parallel to the line 6y=12x+7 and has a y int. of 6.
y=2x+6
Solve using any method:
3x-2y=9
-2y-9=3x
x and y = Infinite
Order the following from LEAST to GREATEST:
10-3,103, (-10)4, -104
(-10)4=104, 10-3=0.010, 103=1000, -104=-10000
So.. -104, 10-3, 103, 104
Which country has the most people?
China:1.39 x 109
United States of America:33 x 107
India:13.3 x1010
China, India, United States.
Step 1: Make everything into Scientic Notation. USA has a smaller exponent so we will mark it off.
Step 2: Compare China and India in which case China has more people.
2(m + 6) = 48
m=18
What is the slope int. form of a line that goes through the points (0,1) ; (1,3)
y=2x+1
Solve using ELIMINATION
3y + 2x = 11
x + 2y = 7
x=1
y=3
(102x103)6 / (104x103)2
(1012x1018) / (108x106)
1030 / 1014
1030-14=16=1016
1016
The moon is 2.5 x 105 miles away from Earth. Mercury however is 2.5 x 108 miles away from Earth. How many times the distance away is Mercury than the moon.
103 times the distance as the moon is from Earth.
10x10x10=1000 x the distance. Moon is 250,000 miles and Mercury is 250,000,000 miles away. 250,000 (or 2.5 x 105) x 1000 (or 103)
=250,000,000 *Miles are in-accurate* The answer is 103
A phone company charges a base price of 500 dollars base price. But you must pay $5 every month for until he pays $600 in order to fully own the phone.
a. Make a linear equation for the problem
b. Bob has his phone for 7 months. How much has payment does he have LEFT to give to the phone company.
C=Cost. A. C=5m+500
M=Month. B.(Total required to fully own.) 600-C=35+500 600-535=65/5=13
Bob has 13 Months more months.
Joe says that if a line is parallel the slope is the same and the y int. is the same, is he wrong? Explain.
He is wrong because to be parallel a line must have the same slope and a different y int.
–3x + y = –11
y = –8
x=1 y=-8