Systems of Equations
Solve this system of equations
y = -x+5
y = x - 7
(6,-1)
Fill in the blanks.
For each __________ there is only one__________.
For each INPUT there is only one OUTPUT.
Solve for x
2(3x-4)= 22
x=5
Write the number 4,330,000 in Scientific Notation
4.33 x 106
What does PEMDAS stand for?
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
y = 2x+4
y = 3x - 2
(6,16)
When is a function linear?
When there is a straight line
Solve
2x+ 4 = 4x -8
x=6
What is .0000567 in Scientific Notation?
5.67 x 10-5
Two equations that have will the same slope, but different y-intercepts will have how many solutions?
No Solutions
Determine a point that would make this not a function.
(3, -4) (2,-1) (1,-2)
Any OTHER point that has 3,2,or 1 as the x value.
Ex (3,_) (2,_) (1,_)
What does the acronym DCMAM stand for, mathematically?
(Don't Call Me After Midnight)
Distribute
Combine Like Terms
Move the Smaller Variable Term
Add/Subtract
Multiply/Divide
What is (3.2 x 102)(4.0 x 106)
-Answer must be in Scientific Notation.
1.28 x 109
y=2x-18
y=6x-2
(-1,-20)
Why is the equation x=2 not a function?
Because the input (x) has infinite outputs (y)
(This is a vertical line at x=2)
Identify the number of solutions
7(x-3) - 7x - 21=0
Distribute: 7x-21 -7x-21 = 0
Combine: 0x -41 = 0
-41 does not equal 0
So there is no solution.
Simplify (4.2 x 104) (5.2 x 10-5)
-Answer should be standard form (Not S.N.)
2.184
How do you find the answer to a system of solutions
Where the two lines intersect.
If a line has a slope of zero, and a y-intercept of 6 is it a function?
YES!
This would be a horizontal line, up 6 units from the origin.
The equation would be y=0x+6 OR y=6
Solve
5-3(x-7)=2(2-x)-8
x=30
Simplify
(2.2 x 10-8) (5.2 x 10-6)
Write in Scientific Notations
1.144 x 10-15