Simple Equations
Name 1 way you can tell if something is a function.
1) No x values repeated.
2) Passes Vertical Line Test
Algebra: What is the slope-intercept form of a linear equation
Algebra: y= mx + b
What's the slope of y=7x-3?
7
What property is shown:
(a*b)*c = a(b*c)
Associative Property of Multiplication
Solve the equation:
|x|-6=4
x = 10 or x = -10
Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)}
No
Graph the linear equation
y = -1/2x - 4
Use white boards to graph the linear equation and share answers.
What variable is used to describe slope?
m
What property is shown here: a(b+c)=ab+ac
Distributive Property
Solve the equation.
4|x-5| = 12
x = 8 or x = 2
Algebra: Solve for a: ax + b = c
Algebra: a = (c - b)/x
Graph this equation in slope-intercept form:
y= -2x - 5
White Board Solution
Using a white board, graph the Linear Equation
Y = 3x + 2
y intercept = +2
Slope = 3/1, rise 3, run 1
Evaluate: [(2*3)+(7*4)]+2
36
Solve:
4|x+3|-7=5
x = 0 or x = -6
{0,-6}
Is this a function? {(1,1),(2,1),(3,1),(4,1)}
Yes
When 3y=x - 9 is written in slope-intercept form, isolate the y and determine the y-intercept?
-3
Find the slope between these 2 points (7, 4) & (10, 8) using the slope formula: y2 - y1 x2 - x1
4 3
Solve the equation.
-3|x-1|+5=8
No Solution.
Solve: 21 + x = 2(x - 6)
x = 33
Algebra: Solve for b: (2b-11)/3 = a
Algebra: (3a+11)/2 = b
When -2y + 6 = x is written in slope-intercept form, undo 2 operations to isolate the y and determine both the slope and the y-intercept?
-2y = x - 6
y = - 1/2x + 3
What's the slope of the line passing through (3,9) (5,4)
slope: -5/2
Simplify: 1/4(-4 + 16x) - 2/5(20x - 15)
5 - 4x
Solve the equation.
0.8|x+4|-3=1
x = -9 or x = 1