Simplify Radical Equations
Apply Quadratic Formula
Exponential Laws
Square root functions
Domain and Range
300
Express the fraction in simplest radical form (positive exponents).
2x3/2
___________
(16x4) 1/4
Answer: square root of x
300
Use the quadratic formula to solve for p. Express your answer in simplest form.
25p2 + 24p + 9 = -6p
p = -3/5
300
Simplify the expression (only positive exponents):
(-7x^5)(9x^5)
Answer: −63x10
300
Solve for all values of x:
Square root of (7x - 47) + 8 = 12
Answer: x = 9
300
Find the domain of f(x).
f(x) = Square root of (5 - x)
Write the answer in Interval Notation
Answer: (- infinity , 5]
400
Answer Choice (3)
400
Quadratic Word Problem:
The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units. What is the width, in units, of the rectangle?
Answer; Width is equal to 8
400
Simplify the expression (positive exponents):
(-2x2y-4)-2
= y8/4x4
400
Solve for all possible values of x.
Square root of (4x+17) = x - 1
Answer: 1 solution, x = 8
400
Find the domain of f(x).
f(x)= 2x - 3 / Square root of (3x + 3)
Write the answer in Interval Notation.
Answer:
Domain: (-1, positive infinity)
500
Write the radical expression in the simplest form (positive exponents).
Square root of (3x2y) * Cubed Root of (27x3y2)
= 33/2x2y7/6