Simplify Expressions
Linear Functions
Quadratic Functions
Polynomials Operations
Polynomial Applications
100
Simplify the following expression.
4x^3*5x^2
20x^5
100
A line passes through (0, 4) and (-3, 0). What is the slope-intercept form of the equation for the line?
y=4/3 x +4
100
Given the equation below, what is the axis of symmetry of f(x)?
f(x)=4x^2-8x-4
x=1
100
Simplify the polynomial. Write your final answer in standard form.
-3x(2x^2+4)+4x-5
-6x^3-8x-5
100
Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the triangle and write the answer in standard form.
2x^2+9x+2
200
Use the exponent rules to simplify.
(x^2y^5)/(xy^3)
xy^2
200
An athletic trainer determines that the number of calories needed after a workout depends on a base amount of 200 calories plus 53 calories for each minute of weightlifting. Which equation represents the number of post workout calories required as a function of the number of minutes of weightlifting (m) completed?
f(m)=53m+200
200
Given the equation below, what are the solutions and factors of the quadratic function?
f(x)=x^2+4x
Solutions are 0 and -4. Factors are
x(x+4)
200
Subtract the following polynomials. Write your final answer in standard form.
(x^2-x+4)-(x^2+x-2)
-2x+6
200
Recall that the perimeter of a figure is the sum of all the lengths of the sides. Determine the perimeter of the figure in terms of z. Write your final answer in standard form.
90z+176
300
Simplify the expression.
(4x^2yz^3)^2
16x^4y^2z^6
300
The cost of web site maintenance varies directly with the number of months the service is provided. If 22 months costs $935, what is the cost for one year?
510
300
What is the vertex and y-intercept of this function?
y=x^2+20x-49
vertex:
(-10,-149)
y-intercept:
(0,-49)
300
Multiply the polynomials. Write your final answer in standard form.
(4x-1)^2
16x^2-8x+1
300
Find the area of each figure in terms of x. Then, write a simplified polynomial describing the total area of the rectangles and squares combined.
5x^2+24x
400
Write an equivalent expression in simplest form.
(2x^2y^4)/(8x^5y^5)
(1)/(4x^3y)
400
Write the equation of a line that passes through (2, 6) and is perpendicular to:
y=-4x+2
y=1/4 x + 11/2
400
The quadratic parent function is f(x)=x2. Describe the changes from the parent function f to the new function g given below.
g(x)=4x^2-3
The graph of g is narrower than the graph of f, and the graph of g is 3 units below the graph of f.
400
Multiply the polynomials. Write your final answer in standard form.
(7x+4)(7x-4)
49x^2-16
400
Recall that area of a rectangle is length times width. Determine the area of the shaded region in terms of x.
x^2+8x+7
500
Simplify the following:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
500
On the first day of ticket sales for the spring play, a student sold 7 adult tickets and 3 child tickets for a total of $82. On the second day of sales the student sold 7 adult tickets and 6 child tickets for a total of $94. What is the price each for one adult ticket and one child ticket?
adult $10 and child $4
500
Write the equation for a quadratic function with a vertex at (0, 0) and passing through (-2, 8).
y=2x^2
500
Multiply the polynomials. Write your final answer in standard form.
(2x-5)(3x^2-x+6)
6x^3-17x^2+17x-30
500
Determine the area of the shaded region.
66x^3+40x^2+24x