Rewriting Expressions
Functions and Their Graphs
Exponents and Things
Complex Numbers
Quadratic Functions
100
What is equivalent to the expression below for
x not equal to 1?
(x^3-x)/(x-1)
x2 + x
100
Which system of equations has only one solution?
A) y = x + 5 and y = -3x + 6
B) y = x2 - 1 and y = 1.5x + 1
A
100
What is x5/2 equivalent to?
sqrt(5^5)
100
(-2 + 7i) + (6 + 2i) = ?
4 + 9i
100
In a quadratic function, f(x)=ax2+bx+c, when a>o, in which direction does the graph of the function concave?
Upward
200
Simplify
(20x^10y^8)/(4x^2)
5x^5y^8
200
What is the solution to f(x)=g(x)?
f(x)=abs(x+2)
g(x)=x+8
(-5, 3)
200
Rewrite x-1/5 using a radical.
1/(root 5x)
200
(3 + 5i)(7 + 2i) = ?
11 + 41i
200
What are the x-intercepts of function y=(x+6)(x-3)?
(-6, 0), (3, 0)
300
Simplify
(2x-10)/(25-x^2)
-2/(x+5)
300
When graphed, how many points of intersections will y=x2 and y=-x2 have?
1
300
Rewrite x1/10 as a radical.
root 10x
300
(10 - 3i) + (6 - 8i) = ?
16-11i
300
What is the minimum value of y = x2 -4x + 15?
11
400
Simplify
(x^2+5x-14)/(x^2-4)
(x+7)/(x+2)
400
The graph below shows two functions, f(x) and g(x). State all the values of x for which f(x) = g(x).
x = -3 and x = 1
400
Simplify
sqrt(75x^16y^11)
sqrt(x^16y^10) sqrt(3y)
5x^8y^5sqrt(3y)
400
Will the graph of 2x2 + 5x -3 cross the x-axis?
Hint: Use the discriminant
Yes
400
What is the solution to
x2 - 9x + 20= 0
x = 4, x = 5
500
Which expression is equivalent to (4x + 6y)2?
A) 16x2 + 36y2
B) 4x2 + 2(4x)(6y) + 6y2
C) (4x)2 + 2(4x)(6y) + (6y)2
C
500
For which value of x is
f(x) !=g(x)?
x = 3
500
Simplify
root3(64x^12y^14
root3(64x^12y^12) root3(y^2
4x^4y^4 root3(y^2)
500
What are the solutions to the equation
3x2 + 2x +1 = 0? Are they real or imaginary?
(-1-isqrt2)/3
(-1+isqrt2)/3
imaginary
500
The graph of a quadratic function is a __.
Parabola