y = 2x + 2
y = x − 1
(-3, -4)
y = 2
3x + 2y = 10
(2, 2)
x + 3y = 5
2x − 3y = −8
(−1, 2)
Solve P=a+b+c for b
b=P-a-c
Consists of two or more linear equations
System of linear equations (linear system)
American Idol
Challenge someone to a sing off. The person who sings [NO RAPPING] the best wins [the other teams will decide the winner]
Write the linear regression equation that models the data, rounding all values to the nearest tenth
y = 9.1x −527.6
y = 2x + 4
y = 3x + 2
(2, 8)
x = −3y + 2
−x + 2y = 3
(−1, 1)
−5y + 8x = −18
5y + 2x = 58
(4, 10)
v = Lwh for w
w = (v/(Lh))
The method of solving equations where you add or subtract equations to end up with one variable.
Elimination or Addition Method
On The Mic
You must tell the class a joke. If someone from another team laughs [or smiles] your team gets the point. The other team members cannot hide their face/mouth. You have 3 mins to come up with a joke. Your team members can help you come up with a joke.
State the correlation coefficient.
r = 0.99
x = 3
y = 2x + 1
(3, 7)
x − 2y = −10
3x = y
(2, 6)
3y − 5x = −26
−2y − 5x = −16
(4, −2)
d =rt for r
The solutions are where the shaded regions overlap.
r = d/t
How can you tell if a linear system has infinitely many solutions?
The equations are the same, the graphed lines lie on top of one another, or solving the system provides a true statement with no variables.
Dancing With The Stars
Challenge anyone to a dance battle [no music]. You must dance for at least 20 seconds. The other teams will decide who won
State the correlation coefficient.
r = 0.92
4x + 2y = 8
2x + y = 4
Every point on 2x+y=4 is a solution.
2x – 3y = –2
y = −4x + 24
(5, 4)
3x − 4y = 8
18x − 5y = 10
(0, -2)
1/5B = D + F Solve for B
B = 5(D + F)
When will a system of linear inequalities have no solution?
The inequalities are parallel meaning they have the same slope but different y-intercepts and shaded away from each other. Meaning, the shading doesn't overlap
AND ONE
Ball up a piece of paper and shoot it in the garbage can. You only get one try. If both teams make it into the BLUE garbage can, both teams get the point. You get one practice round.
Predict the score, to the nearest integer, on test y for a student who scored 87 on test x.
y =0.62x +29.18
Answer: 83
y = 1/2 x + 2
y = 1/4 x + 4
(8, 6)
5x − 13 = y
−5x + y = 24
no solution
4x−9y = 2
12x−5y = −38
(-4, -2)
(d-8)b = g for b
g / (d-8)
How does the graphing method for solving a system of linear equations work?
Graph the two lines. The solution is the point(s) of intersection.
HOPS
Choose someone from another team. You must both jump. The person who jumps the highest wins. You MUST choose someone no more than about 2 inches shorter than you. One representative from each of the other teams will judge
State the linear regression equation that estimates the heart rate per number of jumping jacks.
y = 1.72x +69.4
y=−1/3x + 3
3x − y=7
−8x − 7y= -5
−x = y
(5,−5)
3x−5y+2z=2
8x+3y−2z=−6
5x+7y−2z=2
x=0, y=2, z=6
Hb = f + 4g for b
(f+4g)/H
What does the correlation coefficient measure?
The strength and direction of the relationship between two variables
Wild Card [Worth no points]
You must swap a member of your team with any member from another team
State the linear regression function, f(p), that estimates the number of new homes available at a specific sale price, p. Round all values to the nearest hundredth.
f(p) = −0.79p +249.86
y = x^2 + 9x + 6
y= 3x+1
(−5,−14) and (−1,−2)
9y+8=x
−2x+8y= −36
(26,2)
−2x+3y−4z = 8
5x−3y+5z = −8
7x−3y+3z = 8
x=2, y=−4, z= −6
t = A/(4b - D)
for A
A = t(4b-D)
What does a correlation coefficient of 0 mean?
There is no linear relationship between the variables.
Gift of Gab
Quickly say "Peter Piper picked a pack of pickled peppers. If Peter Piper picked a pack of pickled peppers, where's the pack of pickled peppers Peter Piper picked?" [You get 2 practice rounds]
State the correlation coefficient of the data to the nearest hundredth. Explain what this means in the context of the problem.
f(p) = −0.79p +249.86
Answer: r = −0.95 There is a strong negative correlation as the higher the sales price, the fewer number of new homes available.