Linear Equations
What is the equation of the line that passes through (0,3) and has a slope of -2
y=-2x+3
Without using a calculator, solve:
y=3x
x + 2y = -21
(-3,-9)
What is Slope-Intercept Form?
y = mx +b
Factor x2 + 18x + 81
(x+9)2
Factor: 4k2 - 100
4(k+5)(k-5)
What is the slope-intercept equation that models the following situation?
You rent a bicycle for $20 plus $2 per hour.
y=2x+20
Without using a calculator, solve:
x=4y+5
x=3y-2
(-23,-7)
What is Point-Slope Form?
y-y1 = m(x-x1)
Factor: 2x2 + 7x + 5
(2x + 5)(x + 1)
Factor: 25a2 - 120ab + 144b2
(5a - 12b)2
What is the slope of the line created by graphing the following equation?
y - 2 = 3(x - 1)
m = 3
Without using a calculator, solve:
3x-2y=12
x+2y=6
(4.5, 0.75)
What is the formula for Exponential Growth?
y = C(1+r)t
C is the starting amount
r is rate
t is time
Factor: 2x2 - 3x - 20
(x-4)(2x+5)
Factor: 50g2 + 40g + 8
2(5g+2)2
What is the equation of the line that passes through (3, 8) and has a slope of 2?
y=2x-2
Without using a calculator, solve:
13a+5b=-11
13a+11b=7
(-2, 3)
What is the formula for the nth term of the following sequence?
{4, 6, 8, 10, 12, ...}
an = 4 + 2(n-1)
Solve: 3x2 - 5x - 12 = 0
{-4/3, 3}
Factor: 4m4n + 6m3n - 16m2n2 - 24mn2
2mn(m2 - 4n)(2m + 3)
What is the point-slope form of an equation that passes through (-4,8) with a slope of 7/2
y-8=7/2(x+4)
Without using a calculator, solve:
4x+5y=7
8x+5y=9
(0.5, 1)
Write a generic formula that demonstrates the Difference of Squares property.
Ex.: a2 - b2 = (a-b)(a+b)
Factor: 6r2 - 14r - 12
2(3r+2)(r-3)
Solve: 18y2 + 24y = -8
{-2/3}