Linear Functions
Exponential Functions
Quadratic Functions
Systems of Equations
Mystery
100
Write the equation for the graph below.
f(x)=7/5x-7
100
A person deposited $10,000 into a bank account. Each year, interest was added to the account. The table shows the account balance, f(x), in dollars, x years after the money was deposited. Write a function that represents this situation.
f(x)=10000(1.013)x
100
In which quadrant would the vertex of f(x+3)+2 be located?
Quadrant 2
100
Iliana and Leilani go to a store to rent games and movies. Iliana rents 3 movies and 2 video games for a total of $27. Leilani rents 2 movies and 1 video game for a total of $16. Assume the cost for each movie, x, is the same, and the cost for each video game, y, is the same. What is the price of each movie?
Each movie rental costs $5.
100
What set of numbers is the domain for the function
y = -2/3root()(x)-1
All real numbers greater than or equal to 0.
200
The table shows the number of loads of laundry per week generated by a family as a function of the number of people in the family.
Find the number of people in a family that generates 16.5 loads of laundry each week.
11 people
200
Write a function rule to represent g(x).
g(x)=3*2^x
200
A parabola with the equation y=a(x-h)^2+k has a minimum at the point (2, -1) and a y-intercept of 3. What are the values of a, h, and k?
a=1/4
h = 2
k = -1
200
Rachel has a business where the cost C in dollars to make x items is given by the equation C(x)=20/3x+50 and the revenue in dollars made by selling x items is given by the equation R = 10x . Assuming Rachel sells all the items that she makes, how many items does she need to make before she breaks even?
Rachel needs to sell 15 items to break even.
200
Solve the inequality.
5x-3<2x
Express your answer algebraically and then graph it on a number line.
x<1
300
Iyuana's monthly profit for selling candles is represented by the function P(x)=7.5x-200, where x represents the number of candles sold. Complete the table below.
250, 512.50, 120
300
Sofia is an antique dealer and buys an antique chair in 2013 for $500. At the time, an appraiser estimated that the value of the chair would increase by 10% per year. According to the appraiser's estimate about the value of the chair, which statement(s) are true? Select all that apply.
a) The value will increase by $50 in the first year.
b) After two years the value will be $605.
c) The value will increase by 30% in the first 3 years.
d) The rate of change of the value will decrease over time.
e) A linear model provides the best fit of the estimated value.
a and b
300
Write an equation for the graph below.
f(x)=(x-1)^2-2
300
x+y<=-4
7x-14y<=0
Which region in the graph represents the solution set?
Region B
300
Multiply (x + 3) by (2x-4) .
2x^2+2x-12
400
Write an equation for the sequence below.
-3, -5.5, -8, -10.5
an = -3 + (n - 1)(-2.5)
400
Mason and TJ own a t-shirt company and they bought a new packaging and tracking system for $100000. The formula V=100000(1-0.125)^y models the value of the system V in dollars after depreciating for y years. In this formula, what is the meaning of the expression (1 - 0.125)?
The value of the system will decrease by 12.5% each year.
400
Darcelle launches a model rocket from a platform on the ground. Its height h in feet after traveling a horizontal distance of d feet is modeled by the function h(d)=-0.2d^2+10d. What is the total horizontal distance in feet from the point where the rocket is launched to the point where it hits the ground?
The rocket travels 50 feet horizontally from the point where it was launched.
400
Ayana has two part-time jobs. She earns $15 per hour babysitting and $20 per hour tutoring. Her goal is to earn at least $100 per week, but because of school, she does not want to work more than 7 hours each week. Write a system of inequalities to represent Ayana's situation.
15b+20t>=100
b+t<=7
400
What can you say about the correlation shown in the graph below?
Price of postage stamps has a strong positive correlation with time.
500
Kendall is saving money in a bank account to buy a car. The function f(w)=70w+250 represents the total amount of money, f, in dollars in Kendall's account w weeks after she started saving. What does the number 70 represent in this context?
The number of dollars that Kendall is adding to the account each week.
500
Melone's starting salary was $80,000 and he earned a 2% increase in his salary each year for 4 years. He plans to continue working in his position for an additional n years. Write an expression in terms of n for his salary in his last year of working in that position.
80000(1.02)^(4+n)
500
What is the minimum of the function f(x)=x^2-6x+14 ?
5
500
y=9x-1
y=2x+3
What is the value of y in the solution to the system?
29/7
500
A set production designer creates a right circular cylindrical pillar. The designer knows the amount of material used for the surface of the pillar and needs to find the height for a reinforcement rod. Use the formula below where r represents the radius, h is the height of the pillar and A is the surface area of the pillar.
A=(2pir)h+pir^2
What is the formula for h in terms of the other variables?
h=(A-pir^2)/(2pir)