Math 1
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Math 4
Math 5
100
5,7.5,11.25,16.875… Using the explicit formula what will be the 7th term in the series? (Round to the nearest hundredth)
56.95
100
The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the sequence?
-3, 6, 15
100
Find the average rate of change for f(x) = x²+ 9x + 18 from x = −8 to x = −2. Hint: Find both y values first, by plugging in the x values.
the average rate of change is -1. Plugging in the x values into the formula would give you 4 and 10 as y values. Then, you plug in both x values and y values into the average rate of change formula, which would’ve given you -1.
100
Given the formula for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w) What does the 2 represent in this formula?
The 2 represents the two sets of length and width pairs.
100
If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function?
27,000; exponential
200
Simplify: √(216a^2 b^4)
6ab^2 √(6)
200
What is the positive x-intercept of the graph of the quadratic function f(x) = 5x2 + 4x - 1?
1/5
200
2x - 2y = 6 3x + 2y = 9 Solve the system of equation using the elimination method and explain how you got the answer.
x=3, y=0
200
The homeowner's association is sponsoring a spaghetti supper. Tickets to the event cost $10.50 per person. Sixty-two people have already purchased tickets. The total number of tickets available is 245. If y = 10.50x represents the amount of money that can be received from the number of tickets that REMAIN to be sold, what values are appropriate for the domain of the function?
0 is less than or equal to x which is less than or equal to 183
200
If the difference in the values of dependent variables for a function is increasing as values of the independent variable increase, what kind of function does this represent? Is it exponential or linear?
Exponential
300
Simplify: √(100) - √(9)
7
300
The base rate to rent a car is $75. Then, the customer is charged $2.00 per mile for each mile driven over 200 miles. Joe rented a car and drove 250 miles. If y = 2x + 75 models the function, which domain value gives Joe’s total rental cost?
x=50
300
Pamela is selling cookies. She charges 75 cents for each cookie, with the ingredients costing $2.00 per dozen. The cookies are only sold by the dozen. Her profit is represented by the equation P = 7d. What does the domain of the function represent? Which values in the domain are relevant to the amount of profit?
number of dozen sold; x is greater than or equal to 0
300
The population, in millions, of a city t years after 1990 is given by the equation P(t) = 2.9 + 0.08t. In this function,
2.9 million is the population of the city in 1990 and 0.08 million is the increase per year in the population.
300
If the number of bacteria in a colony triples every 60 minutes and the population is currently 2,000 bacteria, what will the population be in 240 minutes? Is the growth modeled by a linear function or a exponential function?
162,000; exponential
400
A child is playing with a bouncy ball. He bounces the ball higher and higher every time. At first, it was at 2 feet. Next, it was at 8 feet. Then it was at 32 feet. Based on this information what will be the height of his 6th bounce?
2048
400
A business was started in 2004. The business is on the rise and earns more and more money every year. The business started with 250,000 and increased at an unknown rate. The series of coordinates represent the increase in profit each year after 2004. Based on this information how much money will the business have made in 2010? (2004, 250000) (2005,375000) (2006,562500) (2007,843750) (2008,1265625)
$2,847,656
400
A small company did an analysis of their pay scale versus years of experience and found that the line of best fit was y = 2035.6x + 36,000. What does the 2035.6 mean in context of the problem?
That for every year of experience they have their salary would increase by $2035.60.
400
Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q 1 + 2x + 2x^2 = 0
(x + 0.5)2 = -0.25
400
Ben invests a small amount of money each month for his son's college education in a savings account that compounds interest monthly. If he never takes money out of the account, what does the graph of his investment look like before his son goes to college? Is it an exponential growth or decay?
Exponential Decay
500
Mr. Carlson suffers from allergies. When allergy season arrives, his doctor recommends that he take 300 mg of his medication the first day, and decrease the dosage by one half each day for one week. Which "rule" represents his medication doses for the week?
300•(½)^n - 1
500
The homeowner's association is sponsoring a spaghetti supper. Tickets to the event cost $10.50 per person. Sixty-two people have already purchased tickets. The total number of tickets available is 245. If y = 10.50x represents the amount of money that can be received from the number of tickets that REMAIN to be sold, what values are appropriate for the domain of the function?
0 is less than or equal to x which is less than or equal to 183
500
How many terms are in the polynomial expression? rst3 - 6r2 t
2
500
Complete the square to transform the quadratic equation into the form (x – p)^2 = q. x^2 - 6x - 8 = 6
(x - 3)^2 = 23
500
Given f(x) = ab^x + c. How would increasing the value of a change the graph?
The function would increase at a faster rate
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