Solving Quadratic Equations
Radicals & Irrational Numbers
Review Topics
Factoring
Miscellaneous
100
Find the roots of the following quadratic equation:
x=-1 and x=3
100
What is the difference between rational and irrational numbers?
Rational numbers can be turned into fractions. Irrational numbers cannot.
100
State the leading coefficient, constant, and degree of the following polynomial:
4x^2-5x^3+3
LC: -5
deg: 3
constant: 3
100
Factor the following:
3x^2-18
3(x^2-6)
100
Fill in the blank: April _______ brings May _______.
April SHOWERS brings May FLOWERS.
200
Which of the following shows the correct equation for the graph:
A.
y= (x-1)(x+3)
B.
y=(x+1)(x-3)
B
200
Rewrite the following in simplest radical form:
sqrt75
5sqrt 3
200
Does this table represent a linear or exponential function? Why?
linear, adding same number each time.
200
Factor the following:
x^2-33x+90
(x-3)(x-30)
200
what state does Sandy Cheeks come from originally in Spongebob?
Texas
300
Use the method of completing the square to determine the exact values of x for the equation
x^2-8x+2=0
. Write your answer in the simplest radical form.
x= sqrt14+4 and x=-sqrt14 +4
300
Is the following sum rational or irrational? Explain.
1/2+sqrt5
irrational, cannot be turned into a fraction
300
If
f(x) = x^2 +2x+1 and g(x) = 3x+5
, then what is the value of f(8)-g(5)?
61
300
Factor the following completely:
2x^2-50
2(x-5)(x+5)
300
What are the colors of the olympic rings?
red, black, blue yellow, green
400
Solve the following linear-quadratic system algebraically.
y=x^2-6x-12 and y=2x-3
(-1, -5) and (9, 15)
400
Rewrite the following in simplest radical form:
4sqrt80
16sqrt5
400
State the average rate of change for the distance traveled between hours 1 and 3.
Include appropriate units in your final answer.
66.5mph
400
SURPRISE TOPIC QUESTION:
x=-4/7
400
How many bones does an adult human have inside their body?
206
500
Use the quadratic formula to solve the equation
x^2-4x-41=0
. Express the answer in simplest radical form.
2+-3sqrt5
500
Rationalize the denominator:
8/sqrt2
4sqrt2
500
Dan bought a new car for $15,000. Each year the value of the car depreciated by 5%. Determine the value of the car, to the nearest cent, after 2 years.
$13,537.50
500
If the area of a rectangle is represented by
x^2+2x-8
, then the product of the length and the width of the rectangle could be expressed as what?
x+4 and x-2
500
What is the only land mammal that cannot jump?
elephant