LINEAR EQUATIONS
SLOPE OF ANY HORIZONTAL LINE
ZERO
Simplify (4x)^0
1
3X - 7 > - 7
X > 0 ?
What the graph of a system of equations looks like when there is no solution
PARALLEL LINES?
10% of 240
24
SLOPE-INTERCEPT FORM of a linear equation
y = mx + b ?
10^-2
1/100 or 0.01 ?
-7X + 5 < - 9
X > 2
How you can tell (without graphing) that there is NO SOLUTION to a system of equations
the SLOPES are the SAME
How to find the PERCENT CHANGE
DIVIDE the DIFFERENCE by the ORIGINAL amount
Slope of any VERTICAL LINE
UNDEFINED
(7ab)^2
49(a^2)(b^2)
(X + 5) / 6 > - 4
X > - 29
How many solutions a system of equations has when the graph shows INTERSECTING lines
ONE
HOW PROPORTIONS ARE SOLVED.
CROSS MULTIPLICATION
POINT SLOPE FORM OF A LINE
y - y1 = m (x - x1) ?
Simplify (5x^2)^3
125x^6?
28 < 4 - 4X
X < - 6
the number you could multiply the FIRST EQUATION by so that you will ELIMINATE the X'S when you add the equations together ......
-3X + 5Y = 20
-12X - 4Y = 0
-4
35 is 50% of this number
70
definition of SLOPE
"rise over run", or "rate of change"
(4x^5)(3x^7)
12x^12?
| X | > 3
X > 3 or X < -3 ?
When the graph of two equations looks like this, there are INFINITELY MANY SOLUTIONS
ONLY ONE LINE (they intersect everywhere)
75 is this percent of 50
150%