Multiplication
(-2y6z14)(7y3z)
-14y9z15
m4p3 / 3m2n4p4
m2 / 3n4p
Write xy1/2 in radical form
x squareroot(y)
Simplify: squareroot of (24x6y9)
2x3y4 squareroot of (6y)
(-3j4k17)2
9j8k34
r3st-4 / s5t
r3 / s4t5
Write x1/3y2/3z0/3 in radical form.
cuberoot(xy2)
Simplify -10(squareroot of 3) + 7(squareroot of 3)
-3(squareroot of 3)
[(22)2]2
256
g0h7j-4 / g-2h-1j-4
g2h8
Write the phrase "2 times the fourth root of k raised to 7" into exponent form
2k7/4
Simplify 4 / (2 + squareroot of 5)
-8 + 4 (squareroot of 5)
Cleavon has money in an account that earns 4% simple interest. The formula for computing simple interest is I=Prt, where I is the interest earned, P is the principal amount he put into the account, r is the interest rate, and t represents time in years.
What is the interest earned if he makes a deposit of 3b and leaves it for b years?
I = 0.12b2
The probability of rolling a die and getting an even number is 1/2. If you roll the die twice, the probability is (1/2)2. What is the probability of getting an even number 5 times?
(1/2)5 = 1/32
The frequency f in hertz of the nth key on a piano is f = 440(21/12)n-49
What is the frequency at the 52nd key on a piano?
440 fourth root(2)
Simplify: Squareroot of 8 + squareroot of 12 + squareroot of 18
5(squareroot of 2) + 2(squareroot of 3)
A cylinder has a radius of 2x meters and a height of 3x2 meters. What is the surface area of the cylinder? (you may write only pi or use 3.14)
The processing speed of an older desktop computer is about 108 instructions per second. A newer computer can process about 1013 instructions per second. How many times is the old computer as fast as the newer one?
108 / 1013 = 1 / 100000
The frequency f in hertz of the nth key on a piano is f = 440(21/12)n-49
Which note has a frequency of 110 hertz (Hz)?
25th note
The area A of a triangle can be found using the formula A = 1/2 bh.
What is the area of a triangle with:
height = four(squareroot of 5) - 2(squareroot of 2) cm
base = squareroot of 2 + 2(squareroot of 5) cm
18cm2