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Exponential and Logarithmic Functions
Rational Equations and Functions
Trigonometric Ratios and Functions
Matrix Operations
Potpourri
100
Solve for x: 5^(3-2x) = 5^(-x)
x=3
100
Solve the following rational equations: (x+2)/3 = (2x-4)/2
x = 4
100
In a right triangle, if a side with length 11 is opposite from a 60 degree angle, then the length of the hypotenuse is this.
hyp. = 33/2
100
Simplify the matrix: A = 5[4; 3]
A = [20; 15]
100
Solve the following multi step equation: 5n + 34 = -2(1 - 7n)
n = 4
200
Solve for x: 3^(x+1) = (1/3)^(3x)
x = 1/4
200
2 - [(5)/2a] = [(2a)/(a+1)]
a = -5
200
-130 degrees converted to radians is this.
What is -13π/18?
200
Simplify the matrix: [3 6; -1 -3; -5 -1] + [0 -1; 6 0; 2 3]
A = [3 5; 5 -3; -3 2]
200
Solve the following multi step equation: -3(4x + 3) + 4(6x + 1) = 43
x = 4
300
Solve the following equation: 3^(x-5) - 4 = 16
x=log_3(20) + 5
300
Solve the following rational equations: [3c/(c^2 - 4)] + [1/(c-2)] = [2/(c + 2)]
c = -3
300
pi/4 in degrees is?
45 degrees
300
Simplify the matrix: [-2; -6] - 3[-6; 0]
A = [16; -6]
300
Solve the following multi step equation: -5(1 - 5x) + 5(-8x - 2) = -4x - 8x
x = -5
400
Solve the following logarithmic equation: log_3(9x+2) = 4
x=79/9
400
Solve the following Rational Equation: [(x^2 - 1)/(x - 3)] = [8/(x - 3)]
x = +/- 3
400
A right triangle with side lengths of 12 and 20 will have what side length for its remaining leg?
What is 16
400
Simplify the matrix: [2 -1; -6 1] x [4 4; -3 -5]
A = [11 13; -27 -29]
400
The area of a triangle with side length 6 and 5 with angle 140 is?
Area = 9.6
500
Solve the following logarithmic function: log_5(4x + 11) = 2
x = 14/4
500
Solve the following rational function: [x/(x - 8)] + [6/(x - 2)] = [x^2/(x^2 - 10x + 16)]
x = 12
500
In triangle ABC, angle B is 60 degrees and the hypotenuse is sqrt(48), what are the side lengths of the remaining legs?
What is 2sqrt(3) and sqrt(3)
500
Calculate the Determinant of Matrix B: B = [4 6; 3 8]
Determinant = 14
500
The area of a non-right triangle with side lengths of 10, 7 and angle 25 is?
Area = 14.8