Polynomials
Factoring
Quadratics
Functions Quadratics
Word Problems
100
Write an expression that is equivalent to
(3x5+8x3)-(7x2-6x3)
-3x5+14x3-7x2
100
Factor and solve x2-4x-12=0
(x+2)(x-6); x=-2 & x=6
100
Complete the square x2+20x+99=0
(x-10)2-1=0
100
Jerome is constructing a table of values that satisfies the definition of a function
Input -13 20 0 -4 11 -1 17 ?
Output -15 -11 -9 -2 -1 5 5 13
Which number(s) can be placed in the empty cell so that the table of values satisfies the definition of a function? Select all that apply
a) -5 b) -1 c) 0 d) 2 e) 11 f) 17
a) -5 d) 2
100
The school that Patty goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Let x represent the price of a senior citizen ticket and y represent the price of a child ticket. Which of the following equations can be used as a system to model the situation?
a) x+y=52
b) 3x+y=38
c) 3x+3y=52
d) 2x+y=38
e) 3x+2y=52
f) 6x+3y=90
b) 3x+y=38
d) 2x+y=38
200
Multiply the polynomials
(x+3)(2x-4)
2x2+2x-12
200
Solve the equation =9x2+10x-44=-10x2-10x
x=2, x=-20
200
What is the sum of the roots of the equation 2x2+5x-3=0?
-2.5
200
The graphs of the functions f(x)=2x+7 and g(x)=x2-1 intersect in the xy-coordinate plane. What are the points of intersection?
(-2,3) & (4,15)
200
A tennis ball was 2 feet off the ground when a tennis player hit it so that the ball traveled up the air before coming back to the ground. The height of the tennis ball is described by the graph shown. Numbers along the x-axis represent the time, in seconds, after the ball was hit, and the numbers along the y-axis represent the height, in feet, of the ball at the time x
Use the graph to estimate the average rate of change of the height of the ball for the first 0.25 second after being hit.
a. 0.75 feet per second
b. 3.0 feet per second
c. 12 feet per second
d. 20 feet per second
c. 12 feet per second
300
Which factorization can be used to reveal the zeros of the function
f(n) = -12n2-11n+15
a) f(n)=-n(12n+11)+15
b) f(n)= (-4n+3)(3n+5)
c) f(n)=-(4n+3)(3n+5)
d) f(n)= (4n+3)(-3n+5)
b) f(n)=(-4n+3)(3n+5)
300
Find the solution by factoring x2-4x+3=0.
(x-1)(x-3); x=1 & x=3
300
What are the zeros of the polynomial x(x2+4x-12)?
x=-6; x=0; x=2
300
What are the zeros of the function defined by 3x2-33x-180?
x=-4 & x=15
300
Sally-Sue Jean and Billy-Bob John are having a contest to see whose chickens provide more eggs. Over the course of 10 days, the farmers each count and record the number of eggs they collect. The data sets are shown below. Which farmer has a greater median number of eggs?
Sally-Sue Jean: 28, 21, 8, 15, 6, 18, 16, 30, 25, 17
Billy-Bob John: 27, 28, 15, 28, 28, 23, 20, 8, 14, 8
Billy-Bob John
400
Write an expression that is equivalent to
-3a(a+b-5)+4(-2a+2b)+b(a+3b-7)
-3a2+3b2-2ab+7a+b
400
Consider the function f(x)= 2x2+6x-8
What is the factored form of f(x)?
f(x)=2(x+4)(x-1)
400
Which statements regarding the function f(x)=-3x2+18x-21 are true? Select all that apply
a) When written in vertex form, f(x)=-3(x-3)2+6
b) When written in vertex form, f(x)=-3(x-3)2-2
c) When written in vertex form, f(x)=(x-3)2+6
d) When written in vertex form, f(x)=(x-3)2-2
e) The vertex of f(x) is located at (3,6)
a) When written in vertex form, f(x)=-3(x-3)2+6
e) The vertex of f(x) is located at (3,6)
400
What is the inverse of the function f(x)=3x2+12?
f-1(x)= 
400
A parabola with the equation y=a(x-b)2+c has a minimum at the point (2, -1) and a y-intercept of 3 when graphed in the xy-coordinate plane.
What are the values of a, b, and c?
a=1, b=2, c=-1
500
Write an equation that is equivalent to
x2-6x-27=0
(___ ___)2 = ______
(x-3)2=36
500
Consider the function f(x)=2x2+6x-8
What is the vertex form of f(x)?
f(x)=2(x+1.5)2-12.5
500
The function f is defined as f(x)=x(x2-4)-3x(x-2).
An equivalent form of f is given as f(x)=x(x-2)(x-a), where a is a constant. What is the value of a?
What are the zeros of the function f?
The difference of squares x(x-2)(x-1); a=1
x = -3, x =-1, x = 0
500
The function f is defined by f(x) = x2-2x-24.
If f(x+3) = x2+kx-21, what is the value of k?
What are the zero(s) of f(x+3)?
4; x=-7 and x=3
500
The population of a city in 2005 was 36,000. By 2010, the city’s population had grown to 43,800 people.
Assuming that the population of the city has grown linearly since 2005 and continues to grow at the same rate, what will be the population in 2015?
51,600