Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Additional
100
Write an equation of an absolute value that is translated up 2 units, right 3 units, and is vertically compressed by a factor of 3/4.
f(x)=3/4abs(x-3)+2
100
a) Find an expression for the perimeter of the following triangle
b) Find the perimeter if x=4
a) 7x + 13
b) 41
100
Find the AOS, domain, range, and vertex of the function:
AOS: x = 4
Domain: (-∞,∞)
Range: [-4,∞)
Vertex: (4,-4)
100
Solve by factoring:
6x^2+x-2=0
x=1/2 and x=-2/3
100
Multiply
(4-7i)(5+2i)
34 - 27i
100
Identify the following given the exponential equation:
f(x)=3(1/2)^x
a) Growth or Decay?
b) y-intercept
c) asymptote
d) Domain
e) Range
a) Decay
b) (0,3) or 3
c) y=0
d) (-∞,∞)
e) (0,∞)
200
Find the solutions to the following absolute value inequality by graphing:
-|x-3| + 5 > -1
(less thAND type problem)
Solution: -3 < x < 9
200
Simplify
125^(2/3)-64^(4/3)
-231
200
What are the solutions for the following quadratic: (x-9)(2x+1)=0
x=9 and x=-1/2 or -.5
200
Use the completing the square to solve the following:
x^2+12x=20
x=-6+-2sqrt(14)
200
Given the following equation of a parabola, state the vertex, p-value, directrix, and focus:
(y-4)^2=16(x+3)
What are vertex(-3,4), p=4, directrix x=-7, and focus(1,4)
200
Graph
y=4(2)^x
and state the end behavior
End Behavior: As x→∞, y→∞; As x→-∞, y→0
300
Solve the following equation:
1/2abs(2x+6)+10=4
No Solution (An absolute value can not equal a negative)
300
Simplify
root3(375x^3y^10)/root3(3x^-3y)
5x^2y^3
300
Describe the transformations for the following quadratic:
y=-2(x-4)^2+9
Reflection, Vertical Stretch(Skinnier), Right 4, Up 9
300
Solve using the square root method:
3(x-5)^2+36=9
x = 5 +- 3i
300
Write the equation of a parabola in standard form given:
y^2-4y-x+8=0
(y-2)^2=x-4
300
Graph and state the domain and range for the following function:
f(x)=-sqrt(x-3)+2
Domain: [3,∞)
Range: (-∞,2]
400
Write the equation for the following graph. Find the domain and range in interval notation for the following graph:
Equation: f(x) = -|x+1|+2
Domain: (-∞, ∞)
Range: (-∞, 2]
400
Simplify and state the degree of the polynomial:
(5/2x^2y+8x-2)-(3x-1/4x^2y-2)
Degree is 3
11/4x^2y+5x
400
Find the AOS, Vertex, Max or Min Value of
f(x)=x^2-8x+2
AOS: x=4
Vertex (4,-14)
Min Value of -14
400
How many solutions does for the following quadratic have and what is the discriminant?
3x^2-4x+5=0
0 real solutions and the discriminant is -44.
400
A Toyota Crapolla originally sold for $23,000 in 2014. If the value depreciates by 12% each year, how much would the Crapolla be worth in 2025. Setup and simplify equation but DO NOT SOLVE.
What is
y=23,000(.88)^11
400
Graph and state the domain and range for the following function:
f(x)=3root3(x+2)+5
(Key points to graph would be (-2,5) (-1,8) and (-3,2))
Domain: (-∞,∞)
Range: (-∞,∞)
500
Simplify
(5x-4)^2
25x^2-40x+16
500
Find the zeros for the following function and graph:
f(x) = -2(x-4) - x(x-4)
Zeros are x=4 and x=-2
Vertex should be at (1,9)
500
Solve
81x^2+49=0
x=-7/9i and x=7/9i
500
Solve the following system:
(-2, 4) and (-5, 1)