Ratios and Proportions
Linear Equations
Exponents
Probability
Geometry
Algebra 2
(Pre?)Calculus(1)
100
Simplify
1/10 xx 2/52
1/260
100
Find y-intercept 4x = 15y - 3
3/4
100
Simplify
[(26 x 10^2)^5]^0
1
100
Delaney has a bag of marbles, 4 white, 8 blue, and 6 red. He pulls out one red marble from the bag without replacing it. What is the probability that the second marble he pulls out of the bag is white?
4/17 or 0.23 or 23%
100
Calculate the area of the trapezoid. 
448 ft2
100
Will f(x) open up or down?
f(x)=-4x^2+10x-9
Down
100
Find the domain
f(x)=sqrt(x^2-9
[-3, 3]
200
Simplify
245/169 x 13/7
35/13
200
A line in the xy-plane passes through (0, 3) and (1, 5). What is the equation of the line in slope-intercept form?
y=2x+3
200
(300)(400) = 12 xx 10^n
n = ?
n = 4
200
The 32-member Aerospace Club wants to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 5 officers of the club. What is the probability that Marzuk, who is a member of the club but NOT an officer, will be chosen?
1/27
200
On a flat plane, all angles in a triangle must add up to how many degrees?
180 degrees
200
What is the quadratic formula?
x=[-b+-sqrt(b^2-4ac)]/(2a)
200
Convert to degrees (2pi=360deg)
2/5pi
72deg
300
Annette Force's physics class has 12 boys and 18 girls. In simplest form, boys are what fraction of the class?
2/5
300
What is the solution (x, y) to the system of equations?
6x+3y=33
6x-y=5
(2, 7)
300
Simplify
(x^6y^12)/(xy^2)
x^5y^10
300
To make a 750-piece jigsaw puzzle harder, a puzzle company includes 5 extra pieces in the box, along with the 750 pieces. The extra 5 pieces do not fit anywhere in the puzzle. If you selected one piece at random, what is the probability that it will be one of the extra pieces?
5/755
300
Name 2 pairs of supplementary angles.
angle2 != angle3
1-2, 1-5, 5-6, 2-6, 3-7, 3-4, 7-8, 4-8
300
Factor completely.
2x^2+6x+4
2(x+1)(x+2)
300
Write an equation for the function f(x)=x^2 which translates f(x) 5 units left and 10 units up.
g(x)=(x+5)^2+10
400
On Archy's drawing of the floor plan in his house, 1 inch represents 3 feet. If he sketches a rectangle with sides of lengths 3.5 inches and 5 inches, what is the actual floor area of the room?
157.5"ft"^2
400
To edit a video, Youssef charges $50 for the first 2 hours and $20 per hour after the first 2 hours. Write an equation to model the amount Youssef charges if it takes him more than 2 hours to edit.
f(x) = 20x + 10
400
Simplify.
(2x^3)^4 +(2x^4)^3
24x^24
400
If x is chosen randomly from the set (4, 6, 7, 9, 11) and y is chosen randomly from the set (12, 13, 15, 17) then what is the probability that xy is odd?
9/20 or 0.45 or 45%
400
What is the value of y in degrees?
60 degrees
400
Simplify
(14 − 2i)(7 + 12i)
122 + 154i
400
Find the derivative of f(x)
f(x) = 5x^4+3x^2+6x+sin(pi)
f'(x)=20x^3+6x+6
500
On Thursday, 240 adults and children attended a show. The ratio of adults to children was 5 to 1. How many children attended the show?
40 children
500
Bill purchases a television with a price of $300 with an initial payment of $60 and weekly payments of x dollars. If the television is fully paid off after 8 weeks, how many x dollars did Bill spend per week?
$30 per week
500
Find x:
64^(1/2) = (32x)/1^-1
x =
1/4
500
A circle is inscribed inside a square. If a point inside the square is selected at random, what is the probability that the point will also be inside the circle?
pi/4 or 0.785 or 78.5 %
500
Calculate the area of the shaded sector.
42.7"cm"^2
500
What are the factors of this equation?
(x-1), (x+2), (x+3)
500
Find the derivative of f(x)
f(x)=x^2cos(x)
f'(x)=2xcos(x)-x^2sin(x)
600
In a public opinion poll, 624 people from a sample of 1,100 indicated they would vote for a specific candidate. How many votes can the candidate expect to receive from a population of 40,000?
22690 votes
600
A food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck's revenue from selling a total of 209 salads and drinks was $836.50. How many salads were sold that day?
93 salads
600
Find x.
8^(x-3) = 16^(4-x)
x= 25/7
600
A bag contains 12 red marbles, 5 yellow marbles, and 15 green marbles. How many more red marbles must be added to the 32 already in the bag so that the probability of randomly drawing a red marble is 3/5?
18 red marbles
600
"What is the area of"\ square ABCD\ "if the length of"\ BD\ "is"\ 2sqrt(2)"?"
4
600
If a^(-1/2) = x, where a > 0 and x > 0, write a in terms of x. (isolate a)
a = −x ^2
600
DERIVE
f(x)=tan(5x^3+3x+cos(1/4pi)+9
sec^2(5x^3+3x+sqrt2/2)*(15x^2+3)