Solving Equations
Solve the following equations:
4x + 3 = 11
x = 2
Find the axis of symmetry of the following quadratic function:
f(x) = 3(x+5)2-8
x=-5
f(x) = 2x + 5
Find f(10).
25
Simplify:
x3(x5)=
x8
y = mx+b
Slope-Intercept Form
Solve the following equation:
-2x - 5 = 3x + 20
x = -5
Find the axis of symmetry:
f(x)=x2+10x+16
x = -5
g(x) = -3x + 11
What is the value of g(4).
-1
Simplify using properties of exponents
(x3)5=
x15
y-y1=m(x-x1)
Point Slope Form
Solve the following equation:
4(x+2) +2x = 20
x = 2
Factor:
x2+12x+32
(x+8)(x+4)
h(x) = 2x2
Find h(-1).
2
4x6y4
m = (y2-y1)/(x2-x1)
Formula to find slope
Solve the following equation:
-3(x+4) - 8 = -3x - 20
Infinite Solutions
f(x)=2(x+5)2+1
Find f(3).
129
f(x) = -3x + 10
Find x when, f(x) = -11
x = 7
Simplify with no negative exponents:
x-3y2
f(x) = ax2+bx+c
Standard form of Quadratics
Solve the following equation:
(2/3)x + 10 = 8
x = -3
Convert to standard form:
f(x) = 2(x-3)2+7
2x2-12x+25
f(x) = 4x + 10 and g(x) = 2x + 4
When does f(x) = g(x)
x= -3
Simplify:
(x2y6z4)0
1
f(x) = a(x-h)2+k
Vertex form of quadratics