Linear
Noah runs a volleyball club. His cost per night is $55 for renting the gym and $8 per member. If x represents the number of members write an equation and an inequality that can be used to find the number of members Noah needs to make a profit.
8x>55 8x=55
Consider the function shown g(x)=2x+10. What is the value of g(14)?
38
The points (0,1), (1,5), (2,25), (3, 125) are on a graph of a function. Write the equation that represents this function.
y= 5^x
What is the factored form of 121x^2 – 64y^2?
(11x+8y)(11x-8y)
The cost of printing class -shirts is modeled by the equation y=3x+35. What does the 3 represent in the equation?
The cost per shirt
What is the solution of 4(x+4)-1=3(x+4)+18 ?
15
The function m=60-15b represents the amount of money, m, in dollars you have after buying b books. Write the appropriate domain for this function.
[0,4]
1449
The function f(t)=-16t^2 + 84t+32 represents the height of an object in feet after t seconds. What is the value of the function when t=2?
after 2 seconds the height is 136 feet
The correlation coefficient between two variables is -0.23. How can this relationship be best described?
Weak and negative
What is the solution to the inequality 0.8x+20<1.2x-40 ?
150 < x
Angie is completing a 15 week exercise program where she increases he amount of time she works out by the same amount. She exercised 20 minutes per day the third week, 50 minutes per day the ninth week and 60 minutes per day by the 11th week. Write a function that represents the sequence.
5n+10
50,000(1/3)^x; After about 5 hours
What are the zeros of the function represented by the quadratic expression 2x^2 +x-3?
x=-1.5 x=1
What does the 12 represent on the box plot?
The median of the data
A professional basketball player needs to score more than 40 points in the last game of the season to win the scoring title. He only shoots 1-point free throws, x, and 2 point regular shots,y. What is the least number of free throws and regular shots Jason can make in order to win the last game of the season?
13 regular shots and 14 free throws
Rayonte uses the equation g(x)=5x+50 to model the balance of his savings account after saving for x weeks. What is the value and meaning of g(60) in the context of the problem?
After 60 weeks the balance of the account is $350
Consider the function for cell duplication. The cells duplicate every minute.
F(x)=75(2)^x What does 75 and 2 mean in this scenario?
The 75 is the initial number of cells and the indicates that the number of cells double every minute.
What is the vertex of the graph of f(x) = x^2 + 10x-9?
(-5,-34)
In this context, what does the slope of the linear function represent?
The loss in value of the car
u = initial velocity
v= final velocity
a= acceleration
t= time
Write a formula that gives the acceleration.
a = (v-u)/t
Nakayla earns $20 for babysitting each evening plus an additional $5 per child. What is an explicit expression that describes how much money Nakayla will have after an evening of babysitting?
y=5x+20
What is the y-intercept on the graph of h(x)=(2^x)-4
(0,-3)
Jasmine completes the square for a quadratic expression that defines a function. The resulting expression is 13(x-8)^2 + 51. What is the minimum value of the function?
51
The set of data below shows the weather for a week. Create the 5 number summary for this set of data : 65 73 78 80 71 69 74
Minimum: 65
Quartile Q1: 69
Median: 73
Quartile Q3: 78
Maximum: 80