Solving Linear Equations
5p − 14 = 8p + 4
Hint: isolate the variable!
p = -6
x=-5
x+2y=8
(-5,6.5)
4x + 1 − 1 ≥ −8
x≥-2
Simplify this quadratic from factored to standard form:
(r + 1)(r − 3)
r2-2r-3
What is the equation we use to find the slope between two points?
y2-y1/x2-x1
"What does a sprinter eat before a race?"
"Nothing, they fast."
4m − 4 = 4m
no solution
y=2x-7
4+y=12
(7.5,8)
−1 ≤ 2n + 4 − 5
0≤n
Simplify this quadratic from factored to standard form:
(3n + 2)(n + 3)
3n2+11n+6
Finding the average rate of change is also known as finding....
slope
How does the moon cut his hair?
5n + 34 = −2(1 − 7n)
2x+3y=15
3x-9y=18
(7,1/3)
3 − 2(n − 4) > −1
n<6
Simplify this quadratic from factored to standard form:
(2x + 3)(2x − 3)
4x2-9
What is the coefficient of t2 we use to represent the effects of gravity for a free falling object?
-16
What can you catch but never throw?
A cold.
−5(1 − 5x) + 5(−8x − 2) = −4x − 8x
x = -5
3x+4y=12
6x+8y=22
No solutions
−2(b + 1) + 4 < 10
b<-4
Simplify this quadratic from factored to standard form:
(4n + 4)(5n − 8)
20n2-12n-32
What is the definition of a function?
A relation of a set of inputs that have exactly one output each.
What do you call a pencil with two erasers?
Pointless
1/3x+2(x+7)=4x-6
x = 6
y=2x+7
y=-10x-17
(-2,3)
2(1 − 4r) < −2(r + 3) − 4
r>2
Simplify this quadratic from factored to standard form:
(4x-3)2
16x2-24x-9
What do systems of linear equations with no solutions and infinitely many solutions have in common?
Both types require the linear equations to have the same slope.
Why isn't your hand 12 inches long?
Because then it would be a foot!