What is the vertex of the of the following quadratic equation: f(x) = 2(x-5)2+3
V = (5, 3)
Solve for x: (3x+10)1/2 - 5 = 2
What is 13
Fill in the blanks
Arithmetic sequences have a common ___________ and geometric sequences have a common ________.
difference , ratio
Solve for x
x = 2 and -1
What are the zeros of this polynomial? (approximate)
x = -2.5, 1 and 7
Identify the domain and range for the following function : y = sqrt(x-3)
Domain: x >3
Range: y > 0
6, 16, 26, ...
arithmetic and 36, 46 and 56
Solve: 2x2+3x-20 = 0
(hint: quadratic formula)
x = 5/2 and -4
Simplify the following two expressions
x3y2z 7throot(x2z)
xy5z4 4throot(x2y3)
Simplify the following and state any restrictions
2(x+6) / 3x-2 or 2x+12 / 3x-2
Restrictions: -5, 2/3, -6, 3 or 2
Use synthetic division and determine is (x+2) a factor of 2x3+2x2−x+6?
Yes it is, remainder = 0
Condense the following:
log3 + log10x - log6y
log 5x/y
Write the rule for the geometric sequence and find a22
-1, -2 , -4 , -8 ...
an = -1(2)^n-1
a22 = -2097152
Find the zeros of the following by factoring:
f(x) = 3x3-12x2+9x
(hint: factor out a GCF first)
x = 0, 1 and 3
Solve the following log equation
log2(x) + log2(x-3) = 2
(hint: condense then convert)
x = 4, -1
Solve the rational equation, check for extraneous equations
x = 1
x = 0 is extraneous