Graphing Linear Equations
When graphing a system of equations, the solution lies where the lines ______?
intersection
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
rewrite using positive exponents
7^3•7^10
7^13
rewrite using positive exponents
4^8/4^3
4^5
Commonly also known as the average.
What is the mean?
rewrite using positive exponents
5^-7
1/5^7
125 = 5x
x = 3
What does a system of linear equations with no solution look like on a graph?
parallel lines
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
rewrite using positive exponents
11^7•11^24
11^31
rewrite using positive exponents
12^11/12^7
12^4
Some refer to this measure as the "middle number
What is the median?
evaluate
3^-4
1/81
Solve for x:
8x = 32
5/3
What do linear equations share if their system has "no solution"?
same slope
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
Evaluate
(2/4)^2
1/4 or 4/16
rewrite using positive exponents
(9^6•9^9)/9^11
9^4
This is the result of subtracting the Max - Min.
What is the range?
rewrite
7^0
1
3x-7 = 27
x = 10
What does a system of linear equations with infinite solutions look like on a graph?
identical lines, overlapping at every point
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
rewrite using positive exponents
4/5•4/5•4/5•4/5•4/5
(4/5)^5
rewrite using positive exponents
(3/4)^25/(3/4)^20
(3/4)^5
This display allows you to see the relationship between two sets of data.
What is a scatter graph/diagram/plot?
rewrite using positive exponents
7^(-9)/7^3
1/7^12
42x+3 = 43
x = 0
Can a system of linear equations have two solutions? Explain your answer clearly.
No - can't intersect twice!
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
rewrite using positive exponents
(2^4 )^5
2^20
rewrite using positive exponents
s^17/s^11
s^6
The interquartile range is clearly displayed on this graph.
What is a box and whisker diagram?
rewrite using positive exponents
11^(-3)/11^4
1/11
5 x + 6 = 125 x - 4
x = 9