Absolute Values
What is an absolute value?
The distance from zero on the number line
What is an expression?
Contains #'s & variables, but NOT an =
What does an equation have that an expression does not?
Equation has an =
What is an inequality?
<, >, less than or equal to, greater than or equal to, not equal to
What does it mean to evaluate?
Can absolute values be negative?
No, absolute values are always positive.
What is the first step when simplifying an expression?
Combing like terms
What is the goal to solving equations?
To get any variable (x) by itself
Write: x is less than 10
x < 10
Evaluate f(x) = 2x2-3x+1 when x=-3
f(-3)=28 or (-3,28)
Solve:
|-7|
Simplify:
x2 + 10x - 6 - 5x + 4
x2 + 5x - 2
What is the important rule when solving an equation?
Whatever you do to one side of the equal sign must also be done to the other side
Solve:
x + 7 > 13
x > 6
Evaluate 4h-2/5+1 when h=2
h=1 or (2,1)
Solve:
|-8 + 2|
6
Simplify:
-2(3x + 4) + 2(x-6)
-4x - 20
Solve:
5x - 7 = 2
x = 9/5
Solve:
1/4x < 2
x < 8
Evaluate f(x)=2(x)2-3(x)+1 when x=a+h
f(a+h)=2a2+4ah+2h2-3a-3h+1
Solve:
|x + 2| = 3
x = 1 AND x = -5
Simplify:
2x + 4[2 - (5x - 3)]
-18x + 20
Solve:
7(x+4) = 6x + 24
x = -4
Solve:
3 - 5x > 18
x < -3
Evaluate f(x+h)-f(x)/h=[2(a+h)2-3(x+h)]+1[-2x2-3x+1]/h
f(x+h)-f(x)/h=4x+2h-3