Exponentials and Logarithms
Trigonometry
Probability
Factoring & Matrices
Variation
100
Suppose a boat purchased for $28,000 decreases in value by 10% each year. How much is the boat worth in 2 years?
$22,680
100
A 20 foot ladder is placed against a wall at an angle of 72 degrees with the ground. How far from the base of the wall is the bottom of the ladder?
6.2 feet
100
Evaluate: 6 + 1.2 + .24 + ... + 6(.2)^8
7.5
100
Music Boosters ordered sweatshirts that cost $12 for smalls, $14 for mediums, $17 for larges, and $20 for extra larges. In gray, they ordered 6 S, 8 M, 12 L, and 14 XL. In black, they ordered 2 S, 5 M, 10 L, and 15 XL. Using matrix multiplication, calculate the total costs for the gray shirts and the black shirts.
658 and 564
100
When lightning strikes 8 miles away, the sound of the thunder is heard about 40 seconds later. The time it takes for the sound to travel is directly proportional to the distance. How long does it take the sound to travel if lightning strikes 6 miles away?
30 seconds
200
Solve for x: log x = 2.5
316.23
200
If a tower 37 meters high casts a shadow 6.2 meters long, what is the angle of elevation of the sun?
80 degrees
200
How many different ways can 20 students line up to dismiss class?
2.43 x 10^18
200
2 3 4 5 6 7 + (8) 2 3 4 9 0 1
74 3 12 21 30 39
200
The number n of square tiles needed to tile a floor varies inversely as the square of the length s of a side of each tile. If it takes 180 tiles with 6 inch sides to tile a floor, how many tiles with 9 inch sides will it take to tile the same floor?
80 tiles
300
Solve: log(3) 12 = y
2.262
300
Give the exact value of sin (-300) degrees.
sqr(3)/2
300
The TCAHS School Board has 9 members. In how many ways can the positions for President, Vice President, Secretary, and Treasurer be filled?
3024
300
Factor 10y^2 + 5y
5y(2y+1)
300
Susan measured how far a marble rolled down a ramp over a period of time. She obtained the following data, where t refers to the time in second and D refers to the distance in inches: (t,D) = (1, 0.6), (2, 0.4), (3, 5.2), (4, 9.8), (5, 15.2) Use the first two points to calculate an equation that relates time to distance.
D=.6t^2
400
Solve 25.6^z=2.89
.327
400
Give the exact value sin -45
- sqr(2)/2
400
Ms. Clark teaches 73 students in math classes. How many ways could she choose 2 students to get math awards at the end of the year?
2628
400
Factor x^2-256.
(x-16)(x+16)
400
The speed s at which water flows through a pipe is directly proportional to the pressure p exerted by a pump and the fourth power of the radius r. If the speed of the water through a 2.5 cm radius pipe is 600 cm per second when the pressure is 4 kg per cm squared, what would be the speed if the radius is 5 cm?
9600 cm/sec
500
Solve: log(8) 256 = -4x
-2/3
500
Given MO is 24.5, ON is 18, and the included angle (O) is 20 degrees, what is MN?
9.8
500
A student saved 10 cents on Janaury 1st, 20 cents on January 2nd, 30 cents on January 3rd. Each day the student saved 10 cents more than the previousday. How much did the student save during the month of January?
$49.60
500
Factor and solve 5x^2 + 8x - 4
(5x-2)(x+2), 2/5, -2
500
Bridge columns of a new material are 10 inches in diameter and 10 feet high. These columns are able to support up to 40 tons without collapsing. The weight w that collapses a column varies directly as the fourth power of its diameter d and inversely as the square of its height h. Give the maximum weight each column of this material with the given dimensions can support: Diameter 20 inches, height 10 feet.
640 tons
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