polynomials
vertical motion
quadratic
solution set
miscellaneous
100
What type of polynomial is this?
(x + 9)
a first degree binomial
100
A child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft. If it is not caught, what is the formula to find the height of the ball at any given time after it is thrown? (Fill in all relevant variables.)
d = rt - 5(t2)
d = (3)(t) - 5(t2)
100
What is on the left side of the equals sign in the quadratic equation?
x
or t
100
Find the solution set:
x = (7 +- 62)/5
x = {13.8, -11}
100
What is an irrational number? Give an example.
A number that cannot be written as a ratio of two integers.
or
non-repeating, non-ending decimals
examples: pi, euler's number square root of 10 or square root of 7
200
Factor the following binomial:
(r2 - 49)
(x + 7) (x - 7)
200
Henry launched a model rocket from the ground with an initial speed of 88 feet per second. When will the rocket be after 5 seconds?
40 ft. high
200
A variable within what type of polynomial can be solved using the quadratic formula?
(be specific)
A second degree trinomial equal to zero
200
Find the solution set:
42 - |x + 3| = 15
{24, -30}
200
What is the definition of absolute value. Give an example.
Absolute value is the numerical distance of any number from zero.
Example:
|5| = 5 or |-7| = 7
300
Transform the following to a binomial squared:
x2 - 20x + 100
(x - 10)2
300
A coin tossed vertically upward and it reaches the highest point in 7.0s. at the highest point, the velocity is _______.
0 m/s
300
Recite the quadratic formula completely without any starting over or errors.
300
Find the solution set:
(0.3x + 1.9)^2 = 28.7
{11.52, -24.19}
300
What is the first step to solving the following:
|x + 7| = 13
Remove the absolute value bars and add a "plus or minus" to the 13.
x + 7 = "plus or minus" 13
400
Transform the following into a trinomial:
(3x + 5)2
9x2 + 30x + 25
400
A football player kicks a ball with an initial upward velocity of 38 m/s from the roof of the school building 4 m above the field. If it lands on the field, how long will the ball be in the air?
7.4 sec
400
What can you conclude when solving using the quadratic formula and you find only one solution in the solution set?
The variable only has one value along the x-axis and is at its "turning around" point within the parabola.
400
How many decimal places do we usually round long decimals to?
We usually round to two decimal places.
400
What is the first step to solving this equation?
(x - 3)2 = 25
Take the square root of both sides
|x - 3| = 5
500
What is the "binomial square pattern" shortcut to foiling a binomial square? Explain how to use the shortcut to solve the following example:
(7x - 3)2
Square the first term. 49x2
Add twice the product of the two terms. - 42x
Add the square of the last term. 9
(7x - 3)2 = 49x2 - 42x + 9
500
An object is being thrown upward from a platform 10 ft. above the ground with an initial velocity of 40 ft/s. After how many seconds will the object be 30 ft. above the ground?
.536 sec and -36.536 sec
500
Give a, b, and c for the following polynomial:
4x - 3x2
a = -3
b = 4
c = 0
500
Solve:
x2 - 10x + 25 = 70
x = {13.37, -3.37}
500
Solve:
(x - 5)2 = 70
x ~ {13.31, -3.37}