Linear Equations
Write the equation in slope intercept that passes through (3,4) with slope 1
y = x + 1
Solve by factoring x2 - x = 56
x = -7, 8
4 - 2 sqrt(2)i
|x+2| ≤ 6
[-8,4]
-8≤x≤4
purple
plurple
Write the equation of the line through (1, 5) and perpendicular to x = -2
y = 5
Solve by factoring 2x2 - 7x - 4 = 0
x = -1/2, 4
Simplify ( 8 - 9i) + ( 5 + 6i)
13 - 3i
|4x-5|≥6
x≤-1/4 x≥11/4
Simplify (2/xy2)-3
(x3y6)/8
Write the equation in slope intercept that is perpendicular to y = -5x -8 through (-5,1)
y = 1/5 x + 2
Solve by using quadratic formula 2x2 + 11x + 4 = 0 Round 2 decimals.
x = -5.11 and x = -0.39
Write the complex conjugate and find the product 6+sqrt(6)
6 - sqrt(6)
=42
x2 - 4x - 21 < 0
-3<x<7
Name 3 ways of solving a quadratic
1. factoring
2. quadratic formula
3. graphing
4. completing the square
Write the equation in slope intercept that is parallel to 2x - 3y = -7 through (-5, -8)
y = 2/3 x - 14/3
Solve by completing the square x2 + 12x + 11 = 0
x = -1, -11
Write the expression in standard form (9+2i)/(3-6i)
1/3 + 4/3 i
|(x-3)/4| ≤1
[-1,7]
-1≤x≤7
Find the standard form of the equation of the circle Center ( -7, 4), radius 6
(x+7)2 + (y-4)2 = 36
Write the equation in slope intercept form for the line through the pair of points. ( -1, 3) and ( 5, 1)
y = -1/3 x + 8
Solve by completing the square x2 + 4x = 7
x = -2 +- sqrt(11)
[(1+i)(3-i)]/(2+3i)
14/13 - 8/13 i
x2 + 6x + 5 ≥ 0
x≤-5 x≥-1
A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 192 ft/sec, and the gorge is 560 ft deep, during what interval can the flare be seen?
5 < t < 7