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| Linear Equations in one variable look like |
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ax+b=0 This is a CONDITIONAL!!
ex: 2x-4=0 B/c it only works for x=2
2x=4, x=0. |
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| If doing a linear equation and end up with the same exact thing on both sides... |
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Perimeter: add all the sides
Area: (length)(width)
Distance: (Rate)(time) or d=rt |
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| You take a job where you get $8/hour. After 2 months you get $9/hour. What percentage raise is this? |
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REWORD IT!!
$1 is what percent of $8?
1 is the difference, and 8 is your initial amount. |
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| this is a formula for figuring out percentages. |
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| What is the total revenue from selling x units at $3.59/unit? |
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Revenue = (Price/Unit)(# of units)
So, R=3.59x |
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Revenue = (Price)(#)
Profit =(revenue) - (cost) |
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If it says solve for "r",
that means get "r" by itself! |
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Factor out an A. B= A (1+N)/(1+N)
B/1+N=A |
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| If something times something is 0, one of the numbers has to be zero. This ONLY WORKS FOR ZERO. |
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To find y intercepts, set x = 0
To find x intercepts, set y = 0 |
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Solve 2x^2+9x+7=3
1) Get 0 one one side.
2x^2+9x+4=0
2)Factor.
(2x+1)(x+4)=0
3) Set all factors to 0.
2x+1=0 x+4=0
4) Solve for x.
x=1/3 x=-4 |
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Solve by extracting the square root.
x^2=4
Take the square root of both sides.
x= square root of four.
Take the square root of four.
x= +/- 2 |
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Discriminant
(note that this is the underbelly of the quadratic formula!) |
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x= -b +/- square root b^2 - 4ac
ALL OVER
2a |
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If the discriminant is...
positive: 2 real solutions
zero: 1 real solution
negative: 0 real solutions |
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| If given solutions and asked to make a quadratic equation, you take the numbers, switch their signs, FOIL out and set to zero. |
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| If it's ever square root -x |
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| THEN ITS NO REAL SOLUTION |
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Inequality notation: x > 3
Words: all real #'s greater than 3
Interval notation: (x,3) |
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| When writing as an inequality, <,> get (round brackets.) greater than/equal too and less than/equal too get [square brackets]. |
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