LINEAR EQUATIONS
What is the slope of a vertical line
m = undefined
Write a system of equations. The difference of two numbers (x and y) is 3. Their sum is 13.
x - y = 3
x + y = 13
3X - 7 > - 7 Write answer in set builder notation
What is X > 0 ?
What does the graph of a system of equations looks like when there is no solution?
PARALLEL LINES
Describe the graph that represents y - 2 > 5x
Dashed Line & Shaded Up
y-intercept 2
slope of 5
What is the SLOPE-INTERCEPT FORM of
5x - 4y + 18 = 0
y = 5/4 x + 4.5
Briana's school is selling tickets to a school play. On the first day, 3 student tickets and 9 teacher tickets were sold for $75. On the second day, $67 were made by selling 8 student tickets and 5 teacher tickets were sold. Write a system of equations.
3x + 9y = 75
8x + 5y = 67
-7X + 5 < - 9 Write answer in interval form.
X = [2, infinity)
How you can tell when there is an infinite number of solutions?
The lines are the same line.
Explain how to figure out if a number is rational or irrational.
Rational = Whole # or Fraction
Irrational = Cannot be turned into a fraction
What is the slope of the line that passes through these two points? (4, 6) and (7, -5)
(-5 - 6) / (7 - 4 )= -11 / 3
Name 3 ways to solve a system of equations...
Elimination
Substitution
Graphing
(X + 5) / 6 > - 4 Draw answer on a number line.
What is X > - 29?
How many solutions does a system of equations have when the graph shows INTERSECTING lines? and how should the solution look?
One solution and it is a point.
Describe the type of line and shading 6x - 3y > 9
y < 2x -3
y-intercept -3, slope 2, solid line, shaded below
Change y = -2/3 x + 5 to standard form.
2x + 3y -15 = 0
Sonja can only work 30 hours at both her jobs. Her first job is KFC and she makes $10 an hour. Her second job is Walmart and she makes $11 an hour. She needs to make at least $200. Write a system of inequalities.
K= # of hours at KFC
W=# of hours at Walmart
K + W < 30
10K + 11W > 200
28 < 4 - 4X Write answer in set builder form.
X < - 6
What is the solution to this system?
-4x + y = 3
x + y = -2
(-1,-1)
What makes a number imaginary?
Square root of a negative
How do you know that an equation represents a line if it isn't written in slope-intercept form?
The highest exponent is 1 and there are no math symbols other than + - X /
Two schools are going on a trip. School A takes 1 van and 6 buses for 372 kids. School B takes 4 vans and 12 buses for 780 kids. How many kids can go on one van and one bus?
# a Van can hold = V
# a Bus can hold = B
B = 354
V = 18
Solve
-3 - 6(4x + 6) > -111
x < 3
What is the solution to the system of equations?
x + 2y = -2
-x + 4y = -16
( 4 , -3 )
Write the equation for W in terms of L and H.
3L + 2W = H
W = (H - 3L) / 2
or
W = H/2 - (3L)/2