Expressions
Express as a radical.
n6/5
5√n6
What is the Domain and Range of the graph of this equation?
-3x-2y=12
Domain: All Real Numbers
Range: All Real Numbers
What is the probability of rolling a double on two six-sided dice? Make sure to simplify when needed! (fraction)
1/6
True
Solve the systems of equations.
3x-2y=2
5x-5y=10
x=-2
y=-4
Simplify.
-2i30
2
Solve the system of equations.
y=-x+4
-4x+2y=2
x=1
y=3
A student taking a quiz randomly guesses the answers to four true-false questions. What is the probability of the student guessing and getting 100% on the quiz? Make sure to simplify if needed! (fraction)
1/16
What is the area of a rectangle with sides of 4 units, and 5 units?
20 square units
What is the domain and range of a cubic function?
Domain: All Real Numbers
Range: All Real Numbers
Simplify.
(3x2+2x+7-5x3)-(-4x-6x2-8x3-1)
3x3+9x2+6x+8
Find the inverse of the given function.
f(x)=-2x-1
f-1(x)=(-x-1)/2
As part of a board game, you need to spin a spinner, which is divided into equal parts. Find the probability that you get a 5 on your first spin and a number greater than 3 on your second spin. Make sure to simplify if needed! (fraction)
5/64
In a right triangle, one leg is 7 units and the other leg is 24 units. How long is the hypotenuse?
25 units
Simplify.
13(7)1/3 - 4(7)1/3
9(3√7)
(x+2)4
x4+8x3+24x2+32x+16
Evaluate.
P(x)=x8-2x7+x4-x2+6 for P(2)
P(2)=18
The probability of winning a balloon dart game is 0.2. The ODDS of winning a ring toss game are 1:5. Which game gives you a better chance of winning?
The balloon dart game gives you a better chance of winning.
In a 30°-60°-90° triangle, the long leg is 9 units long. How long is the other leg?
3√3 units
Factor completely.
x4-y4
(x2+y2)(x-y)(x+y)
Divide.
(2x4-3x3+5x-8)÷(x-2)
2x3+x2+2x+9+(10/x-2)
Write and expand a quadratic function with the given roots: 1, -3
f(x)=x2+2x-3
You order a sandwich at a restaurant. You can choose 2 side dishes from a list of 8. How many combinations of side dishes are possible?
28 different combinations
What is the value of cos 90o?
0
If f(x)=(x+2)(x+k) and if the remainder is 12 when f(x) is divided by (x-1), what is the value of k?
k=3