Algebra : Radicals and Quadratic Equations
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1.) Find all numbers for which the rational expression is defined: S^3-7s/s^2-25
2.) GCF: -30a^3, 5a^4
(Would it be 5a^3 or -5a^3??)
3.) Use rational expressions to write: x^1/2*y^1/6*z^1/8
4.) Solve: x^2 +6x-4=0
5.: Use rational exponents to simplify: ^4 Sqrt x^12
(Would it be x^3 ??)
6.) Divide: (28b^3 + 27b^2 + 22b + 49) / (4b + 5)
7.) Find the following: ^20 Sqrt (-5) ^20
8.) Divide and Simplify: b^6 / b18
9.) f(x)=1/5 (x+1)^2+2
Vertex:
Line of symmetry:
Maximum/Minimum Value:
Is the value of f(-1) = 2:
10.) Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 4 hours. How much time it would take for them to mow the lawn together?
11.) Find the variation constant and an equation of variation where y varies directly as x and y=35 when x=5.
The variation constant is k = _______
The equation of variation is y = ____
12.) (x+5) (x-19) (x+3)> 0
The solution is {x/____}
13.) 2x^2-6x+19 = 0
Value of the discriminate _____
How many solutions does this have: a) Two imaginary solutions
b) One real solution
c) Two real solutions
14.) F(x) = -2x^2 + 2x + 1
X-Coordinate of the vertex:
Y- Coordinate of the vertex:
Line of symmetry:
Maximum/Minimum Value:
Is the value of f(1/2) = 3/2:
15.) 2/v = 8/v-1/5
16.) Multiply: (2*sqrt 2 - 6*sqrt 3)(5*sqrt 2 + 15*sqrt 3) =
17.) Convert to Decimal Notation: 8.49* 10^7 =
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