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Chapter 6: Additional Topics in Trigonometry
Chapter 7: Systems of Equations and Inequalities
Chapter 8: Matrices and Determinants
Chapter 9: Sequences, Series, and Probability
Chapter 10: Topics in Analytic Geometry
100
Solve for the triangle A = 36 a = 8 b = 5
B = 21.55 C = 122.45 c = 6.36
100
Solve the system 1.5x + 0.8y = 2.3 0.3x - 0.2y = 0.1
x = 1 y = 1
100
Find x and y | x -2 | = | -4 -2 | | 7 y | = | 7 22 |
x = -4 y = 22
100
Find the first 5 terms of the sequence assuming that n starts at 1. n a = ________ n n + 2
1 1 3 2 5 __ __ __ __ __ 3 , 2 , 5 , 3 , 7
100
Find the standard form of the equation of the parabola with the vertex at the origin. Focus: (-2, 0)
y^2 = -8x
200
Find the area of the triangle a = 12.32 b = 8.46 c = 15.05
Area = 52.11
200
Solve the system -5x + 6y = -3 20x - 24y = 12
No solution
200
Find 3A - 2B if A = | 1 -1 | B = | 2 -1 | | 2 -1 | | -1 8 |
| -1 -1 | | 8 19 |
200
Write an expression for the apparent nth term (a ) of the sequence n 1, -1, 1, -1, 1, . . .
a = (-1)^(n + 1) n
200
Find the vertex, focus, and directrix of the parabola. x^2 + 6y = 0
Center: (0,0) Focus: (0, -3/2) Directrix: y = 3/2
300
Solve for the triangle A = 120 b = 6 c = 7
B = 21.55 C = 122.45 c = 11.49
300
Write the partial fraction decomposition of the rational expression. Do not solve for the constant. 3 ____ x^2-2x
A B ____ + ______ x x - 2
300
Find AB A = | 7 5 -4 | B = | 2 -2 3| | -2 5 1 | | 8 1 4 | | 10 -4 -7 | | -4 2 -8 |
| 70 -17 73 | | 32 11 6 | | 16 -38 70 |
300
Find the common difference a = 3 - 4( n - 2 ) n
-4
300
Find the standard form of the equation of the hyperbola with the given characteristics. Vertices: (1,0) , (-1,0) Asymptotes: y = 5x , y = -5x
x^2 y^2 ______ + ______ = 1 1 25
400
Solve for the triangle A = 58 a = 11.4 b = 12.8
B = 72.21 B = 107.79 C = 49.79 C = 14.21 c = 10.27 c = 3.30
400
Write the partial fraction decomposition of the rational expression. 1 ______ x^2+x
1 1 _____ - _____ x x + 1
400
Find the inverse of the matrix | 1 1 1 | | 3 5 4 | | 3 6 5 |
| 1 1 -1 | |-3 2 -1 | | 3 -3 2 |
400
A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orders are possible?
1,860,480
400
Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. (x^2) - 6x - 2y + 7 = 0
Parabola
500
Two ships leave a port at 9 a.m. One travels at a bearing of N 53 W at 12 miles per hour, and the other travels at a bearing of S 67 W at 16 miles per hour. Approximate how far apart they are at noon that day.
43.3 mi
500
Solve the system of linear equations x + y + z = 7 2x - y + z = 9 3x - z = 10
x = 4 y = 1 z = 2
500
Find the determinant of the matrix | 3 8 -7 | | 0 -5 4 | | 8 1 6 |
-126
500
Use the Binomial Theorem to expand and simplify the expression. ( x + y ) ^5
x^5 + 5(x^4)y + 10(x^3)(y^2) + 10(x^2)(y^3) + 5x(y^4) +y^5
500
Find the equation of the ellipse with vertices (5,0) , (-5,0) and eccentricity e = 3/5.
(x^2) (y^2) ______ + ______ = 1 25 16