Algebraic Methods
Functions and Graphs
Sequences
Binomial Expansion
100
What is the negation of "if x squared is a rational number, then x is also a rational number"?
x is irrational, and x squared is rational.
100
What are the two cases when solving this
x is smaller than 5/2
x is greater than or equal to 5/2
100
What kind of sequence is this?
1, 10, 100, 1000, 10000, ...
A) Arithmetic
B) Geometric
C) None of the above
B) Geometric
100
What is "n" for this expression?
-1/2
200
How many terms does the expansion of this have, when using partial fractions?
3
200
Which of these graphs have an inverse?
BEF
200
What type of series is this?
A) Arithmetic Series
B) Geometric Series
C) None of the above
C) None of the above
200
What is the range of valid values for this expression?
|x| < 3
300
What method should we use first to do this?
A) Partial Fractions
B) Repeated Factors
C) Algebraic Division
A) Partial Fractions
300
What is the range of y = |x - 2| + 5
y is bigger than or equal to 5.
300
If the 4th, 5th, 6th term of a geometric series are a, b, c, what can you say about them?
b x b = a x c
300
Describe the steps for expanding this with binomial expansion.
1. Use partial fractions
2. Find the expansion for each fraction
3. Combine the two expansions together
400
What method should we use first to do this?
A) Partial Fractions
B) Repeated Factors
C) Algebraic Division
C) Algebraic Division
400
The following shows the graph of y = f(x)
Sketch the graph of y = f(|x|)
Teacher decides.
400
How do we determine if an infinite geometric series has a finite sum?
|r| < 1
400
What is the range of valid values of
|x| < 1/2
500
What is the value of C?
3
The result should be
500
List the transformations in order for drawing y = -3f(2x-2)
1. Reflect about the x axis
2. Stretch vertically by a factor of 3
3. Compress horizontally by a factor of 1/2
4. Move 1 unit to the right
500
The adult population of a town is 25000 at the beginning of year 2012. A model predicts that the adult population of the town will increase by 2% each year.
Find the predicted population at the beginning of 2020.
25000 x 1.028
500
Find the first three terms of the expansion:
