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Unit 1: Algebra Review
Unit 2: Sequences & Series
Unit 3: Probability
Unit 4: Exponential and Log
Unit 5: Trigonometry
100
Simplify: x^2*3x^4
3x^6
100
Identify the next 3 terms in the sequence. 2, 5, 8, 11, ____ , _____ , _____ …
14, 17, 20
100
A bag contains 6 blue marbles, 4 pink marbles, and 10 green marbles. Find the probability of drawing a pink marble from the bag.
20%
100
If the principle of a loan is $4500 and the interest rate is 6.4% for a 4 year investment, what is the Simple Interest earned?
$1267.39
100
Express 5pi/6 in degrees
150 degrees
200
5x + 2 = -3x + 18
x = 2
200
Write an equation for the sequence 1, 7, 13, 19…
a_n = 1 + (n-1)*6
200
Evetta is buying a cell phone. She has to choose a phone with a choice of 5 colors, 2 styles (flip, keyboard), and 3 features (texting, internet, bluetooth). How many different combinations are there?
30
200
Express in exponential form: log subscript 2 (1/8)= -3
2^-3= 1/8
200
Find sin(theta) for the triangle to the right
4/7
300
2x^2 - 50
2(x-5)(x+5)
300
Find the 113th term of the sequence. 1,3,9,27…
2.7E53
300
Suppose you toss a coin and roll a die. Find the probability of getting heads on the coin and an even # on the die.
25%
300
Using the compound Interest Formula, calculate how much you have if you invest $4000 at 6% for 20 years and it is compounded quarterly.
$13162.65
300
If a circle has a radius of 4 inches and a central arc measure of 20 inches. How many radians is the arc measure?
5 radians
400
Simplify (x^2+2x-3)/(x^2-9)
(x-1)/(x-3)
400
A ball is dropped from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?
2.6ft
400
In how many ways can a president, vice president, secretary, and treasurer be chosen from a class of 30 students?
24,360
400
How much would you have if you invested the $4000 at 6% for 20 years if it is compounded continuously?
$13,280.47
400
Determine the amplitude, period and phase shifts. [Use radians] y=4cos(2x-5)+6
amp = 4 per = 3.14 phase shift= 5 units horizontally to the right and 6 unit up vertically
500
Factor: 4x^3-12x^2+5x-15
(x-3)(4x^2+5)
500
Find the 25th term of the arithmetic sequence: 8, 11, 14, 17, …
80
500
30. You want to roll a standard die with sides labeled 1, 2, 3, 4, 5, and 6. Before rolling the die, you want to calculate the theoretical probability. a. What is the theoretical probability that you roll a 3? b. You rolled the die 20 times and a 3 showed up 4 different times. What is the experimental probability of rolling a 3?
a. 1/6 = 16.7% b. 6/20 = 20%
500
Solve: Log base 5 (x+4) + log base 5 (8) = log base 5 (64)
X=4
500
You are standing 40 feet away from the base of a light pole. If you measure the angle of elevation from you to the light pole to be 50°, how tall is the light pole?
47.7