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100
What is an irrational number? Give an example.
An irrational number is a non-terminating, non-repeating decimal
Ex:
pi
100
Solve the equation for x:
4x+3=x-6
x=-3
100
What is the GCF of the expression:
15x^2+3x
3x
100
What is the most basic type of function called?
For example: The ____________ for quadratics is:
y=x^2
Parent function
100
What is the equation of a line?
y=mx+b
200
Name all things needed when graphing a line.
Actual line, arrows, label
(5 points minimum, try to graph all)
200
What are the roots of a quadratic?
They are the x-intercepts, or the solutions, or the zeros. They are the locations of where the quadratic crosses the x-axis.
200
What is the solution to a system of equations look like?
It is a point (or multiple points) of intersection.
200
A line has a slope of 3 and passes through the point (-2, -1). What is the equation of this line?
y=3x+5
200
Factor and identify what type of factoring this is.
x^2-36
This is DOTS
(x+6)(x-6)
300
Solve the following for x:
(3(x-5))/2=x-2
x=11
300
Name the 5 statistical measures that are included in the "5 number summary" needed for a box plot.
Min, Q1 (25%), Med (50%), Q3 (75%), Max
300
The first term in an arithmetic sequence is 4. The 8th term is 46. What is the common difference?
d=6
300
What is so special about the vertex of a parabola?
It is the "turning point."
It consists of:
(axis of symmetry, max/min)
300
Solve the following quadratic by factoring (sum and product):
x^2-5x-24
x=8, x=-3
400
Express the product in simplest radical form:
7sqrt(6)*3sqrt3
63sqrt(2)
400
Find the vertex of the quadratic:
y=x^2-8x+12
V:
(4, -4)
400
Solve the following using the quadratic formula. Write your answer in simplest radical form:
3x^2-10x+5=0
400
What are the zeros of this function?
p(x)=(x-2)(x+4)(x-5)
x=2, x=-4, x=5
400
Rationalize the denominator:
4/sqrt2
2sqrt(2)
500
Factor completely:
9x^3-36x
9x(x+2)(x-2)
500
Write a system of equations to model the situation:
Lena and Elizabet are buying supplies for Save the Sound. They buy pollution test kits, x, and nets, y. Each test kit costs $5.99 and each net costs $8.99. They bought 24 items altogether, spending a total of $173.76.
5.99x+8.99y=173.76
x+y=24
500
Write the equation of the line that passes through the points (-6, -2) and (3, -8).
y=-2/3x-6
500
(4)
500
Solve the system algebraically:
(8, -1)