Function Notation
Polynomial Operations
Graphing Functions and Inequalities
Systems of Equations and Inequalities
Miscellaneous
100
What is the value of g(x) when the input is -4? g(x) = 2x^2 + 5x - 20.
g(x) = -8
100
The sum of 8n^2 - 3n + 10 and -3n^2 - 6n - 7 is?
5n^2 - 9n + 3
100
Graph y > -3x - 2 and name a point that is a solution to the inequality.
Sample: (2,3)
100
Solve the following system of equations by a method of your choice: 3x+2=y 2x + 3y = 6
(0,2)
100
What is the rate of change of the following input-output table? x | 0 -3 -6 -9 ----------------------- y | 1 2 3 4
-1/3
200
When f(x) = 75 what is x? f(x) = -6x + 15.
x = -10
200
What is the result when 4x^2 - 17x + 36 is subtracted from 2x^2 - 5x + 25?
-2x^2 + 12x - 11
200
Graph f(x) = x^2 - 4x - 1. State the equation of the axis of symmetry.
x = 2
200
Solve the following system using any method of your choice: 2x + 3y = 12 4x - 4y = 4
(3,2)
200
Think back to February and the Number Transformer Challenges...what is the function rule of the following input-output table? x | 0 1 5 10 ----------------------------- y | 2 5 17 32
y=3x+2 OR Multiply the input by 3 then add 2 to get the output
300
For which equation will f(-2)=-6? (1) f(x) = x^3 + x (2) f(x) = x^4 - 5x (3) f(x) = 4x^3 + 6x^2 - x (4) f(x) = -3x^3 - 4x^2 +4x
(3) f(x) = 4x^3 + 6x^2 - x
300
What is the product of 2x + 3 and 4x^2 - 5x + 6?
8x^3 + 2x^2 - 3x + 18
300
Graph 2y + 6 >= 4x. Name a point that is not a solution to the graph.
Sample: (6, -3)
300
Write a system of equations that could you answer the following question (you do not have to solve!) The tickets for a dance recital cost $5.00 for adults and $2.00 for children. If the total number of tickets sold was 295 and the total amount collected was $1,200, how many adult tickets were sold?
let a = number of adult tickets sold let c = number of child tickets sold a + c = 295 5a + 2c = 1200
300
Determine the equation of a line that goes through the point (5,4) and has a rate of change of +2
y=2x-6
400
If f(x) = 3x - 4 and g(x) = x^2, find the value of f(3) - f(2)
f(3) - f(2) = 1
400
If g(c) = 1 - c^2 and m(c) = c + 1, then which statement is not true? (1) g(c) x m(c) = 1 + c - c^2 - c^3 (2) g(c) + m(c) = 2 + c - c^2 (3) m(c) - g(c) = c + c^2 + 1
(3) m(c) - g(c)
400
Graph f(x)=|x+2|-4 over the interval -4
f(1) = -1
400
Stephanie is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5.00. She needs to buy at least 20 candles, and she cannot spend more than $80. Write a system of linear inequalities that represent the situation.
let S = number of small candles bought let L = number of large candles bought S + L >= 20 3.5S + 5L <= 80
400
A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to create each radio. If the cost of creating r radios is given by the function c(r) = 5.25r + 125, then what does the value 5.25 represent?
The cost of creating 1 radio
500
Given that f(x) = 2x+1, find g(x) if g(x) = 2[f(x)]^2 - 1 in its simplest form
g(x) = 2(2x+1)^2 - 1= 8x^2+8x+1
500
When (2x - 3)^2 is subtracted from 5x^2, the result is
x^2 + 12x - 9
500
Let f(x) = -2x^2 and g(x) = 2x - 4. Draw the graphs of f(x) and g(x) on the same axes. Determine and state all the values of x for which f(x) = g(x).
x = -2 and x = 1
500
Create a system of two inequalities for which (2,1) is a solution but (-3,5) is not.
Multiple correct answers!
500
Solve the following equation for x: 4(3+x)-2=y
y+2 x = ------ - 3 4
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