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100

Simplify  x18/x6

x12

100

y=a(b)x, what does "a" and "b" represent?

a is the y-intercept (starting value) and constant multiplier (rate)?

100

Create an exponential function that might have the following graph 


y=a(b)x

a: positive #

b: positive # larger than 1.

x: variable

100

A savings account earns 4% interest per year. If Josiah puts 500 dollars in now, What's the equation to find out how much will he have after 5 years?

y=500(1.04)5

100

Given $1000 compounded quarterly at an annual 12% interest rate. What is the quarterly interest rate?

3%

200

Simplify (28n9)0

1

200

Given the function f(x) = 10(5)x, evaluate f(3).

1250

200

Describe a series of transformation to the graph of f(x)=2(3)x to obtain the graph of g(x)=2(3)x+1-4

f(x) translate 1 units right and 4 units down to obtain g(x)

200

The population of a small town is decreasing at a rate of 2% per year. in 1970 the population was 25,000. This is what the approximate population would be in the year 2020.

9104

200

Given $1000 compounded quarterly at an annual 12% interest rate. What is the equation for this?

y=1000(1.03)4t

300

Simplify -5a2/3x-3 without negative exponent





(-5 3√a2)/x3


300

What's the equation for these points: (-1, .5),(0,3),(1,18),(2,108) ?

y=3(6)x

300

What is the period, frequency, and amplitude of the sinusoidal function: y=-13cos(3πx)

period: 2/3;
frequency: 3π
amplitude: 13

300

The number of students in the book club is increasing at a rate of 15% per year and they started with 9 students. How much would they have after 7 years?

What is ~24 students?

300

Given f(x)=5000(1.015)4x  What is the interest rate?


6% annually interest; or 

1.5% quarterly interest

400

Simplify (-3x4y3z1/2)4

81x16y12z2


400

Write the inverse function of the exponential function y=5x.

y=logx

400

Describe the difference of the graphs of these two functions: f(x)=4(1/2)x and g(x)=4(1.8)x



f(x) is decay, or as x increases, y decreases

g(x) is growth, as x increases, y increases 

400

Fluorine-20 has a half-life of 11 seconds. This is the amount of fluorine-20 left from a 50 gram sample after 44 seconds.

3.125 grams

400

Describe a series of transformation of y=sinx to become a new function y=2sin(x-4π)+3

translate 4π units to the right, amplitude multiply by 2 which is vertical stretch by a factor of 2, and translate 3 units up. 

500

Using the Pythagorean identity if cosA=0.6, and A is in Quadrant IV. Find the value of sinA. and the value of tanA.

sinA=-0.8; tanA=-4/3


500

)The graph of an exponential function, V, passes through the points (0, 2) and (3, 128) as shown on the graph below. Write an equation for the function V(x).

What is V(x)=2(4)x

500

Find the equation that models the following table. 

y=3(2)x

500

Beth and Bill are playing a game with 8 sided dice. A die has 2 blue sides, 2 red sides, 2 orange sides, and 2 green sides. They start with 200 dice and roll them. If an orange side comes up, they remove those dice and roll the remaining dice again. Write an equation to model Beth and Bill’s game.

y = 200(2/8)x

500

If sin2(32o)+cos2(x)=1. What is the value of x?

32o