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Matrices
Matrices
Exponential Functions
Logarithmic Functions
Sequences and Series
100
Write the dimensions of the following matrix. WRITE ON BOARD
4 x 1 (row x column)
100
Identify the matrix element a31. WRITE ON BOARD.
a31 = 9
100
Write an exponential function y=ab^x for a graph that includes the given points. (4, 8), (6, 32)
y = 0.5(2)^x
100
Write the equation in logarithmic form. 625 = 5^4
log5(625) = 4
100
Write a recursive formula for the sequence, then find the next term. 6, 1, -4, -9, ...
an = an-1 - 5 where a1 = 6, next term: -14
200
Find the sum of the matrices. WRITE ON BOARD.
1 3 4 0
200
Solve the matrix equation for X. WRITE ON BOARD.
4 -1 11 -8 -1 2
200
Without graphing, determine whether the function represents exponential growth or exponential decay. y=4(5/6)^x
Exponential Decay
200
Write the logarithmic expression as a single logarithm. 4 log m - log n
log(m^4/n)
200
Find the 32nd term of each sequence. 101, 105, 109, 113....
225
300
Find the product.
-6 -5 14 0 -16 3
300
How can you determine whether or not you can multiply two matrices together?
There must be the same amount of columns in the first matrix as rows in the second matrix.
300
Find the percent increase or decrease that the following function models. y = 2(0.65)^x
35% decrease
300
Expand the logarithm. WRITE ON BOARD.
2 log a +3 log b - 4 log c
300
Write an explicit formula given a1 = 0.0237 and r = 10. Then find the first five terms of the sequence.
an = 0.0237*10^(n-1) 0.0237, 0.237, 2.37, 23.7, 237
400
Use matrix addition to find the coordinates of each image after a translation of 3 units left and 5 units up. R(9, 3), S(3, 6), T(3, 3), U(6, -3)
(6, 8), (0, 11), (0, 8), (3, 2)
400
Evaluate the determinant of the matrix. WRITE ON BOARD.
-3
400
Find the amount in a continuously compounded account for the given conditions. Principal: $400, annual interest: 7.6%, time: 1.5 years.
$448.30
400
Solve the equation. WRITE ON BOARD.
x = 2.1073
400
The given sequence has eight terms. Evaluate each related series. 1, -1, -3, ..., -13
-48
500
Use Cramer's Rule to solve the system. WRITE ON BOARD.
(3, 1)
500
Solve the system of equations using a graphing calculator. WRITE ON BOARD.
(2, -1, 3)
500
Describe the translations, stretches/shrinks, etc. of the function compared to its parent function. WRITE ON BOARD
Stretch by a factor of 9, translated left 7 and down 3.
500
Solve the equation. WRITE ON BOARD.
t = 5.48 or -3.48
500
Evaluate the infinite geometric series. 1.1 - 0.11 + 0.011 - ...
1