Analyzing Equations
What is the equation of a line?
y = mx + b
What is a system of equations?
2 or more equations
Which axis does the independent variable go on?
x-axis
What is the Pythagorean Theorem?
a2 + b2 = c2
Which side of a right triangle is the longest?
Hypotenuse
In the linear equation y = mx + b, what does the m equal? What does the b equal?
m = slope, b = y-intercept
What is the solution of a system of equations?
An x and y value that is the solution to both equations
Which axis does the dependent variable go on?
y-axis
What are the 3 sides of a right triangle?
2 Legs and Hypotenuse
What is an outlier?
A point that lies outside the range of most of the data.
Find the solution to this problem if x = 6
y = 3x - 7
y = 11
How do you solve a system of equations graphically?
Graph both lines and find the point where they intersect.
What is the difference between strong and weak correlations?
Strong correlations are bunched up and look more like a line.
Weak correlations are spread out.
Determine if the following are the sides of a right triangle:
8 inches, 15 inches, and 17 inches
Yes!
82 + 152 = 172
What is the line of best fit?
The line that you draw that best fits the data on a scatter plot.
4x + 2 = 7x - 3 + x
x = 2
How do you solve a system of equations with math?
1. Solve both equations for y
2. Set them equal to each other
3. Solve for x
4. Plug back in and solve for y
What is the difference between positive and negative correlations?
Positive correlations go up
Negative correlations go down
Find the missing side of a right triangle with 2 legs that measure 7 inches and 24 inches
72 + 242 = c2
c = 25
In a sample of 500 children, 400 have brown hair. How many children can we expect to have brown hair if we took a sample of 1000 children?
400/500 = 800/1000
Draw a graph with a positive slope where the line is a little bit curved instead of straight.
(See the PPT)
Solve this system of equations either graphically or with math:
2 + y = 2x + 6
y - 4 = x - 6
x = 3, y = 1
(3, 1)
Draw a line of best fit on the graph on the board.
(See the PPT).
What is the diagonal of a rectangle whose sides are 9 inches by 40 inches?
92 + 402 = c2
c = 41
Look at the graph on the board, and say what one of the points represents in the context of the problem.
(See the PPT)