Solving Equations (A-REI.3)
Functions & Graphs (F-IF.4, F-IF.5, F-IF.6)
Systems of Equations (A-REI.6)
Linear/Exponential Models & Interpretation (F-IF.2, F-IF.9)
Randomness
100
Solve: 2x + 5 = 13
x=4
100
Identify the y-intercept of the function f(x) = 2x + 3
3
100
Solve the system: y = x + 2 and y = –x + 6
(2,4)
100
Interpret the slope in the context: A car travels at a constant speed, and the distance covered over time is represented by the equation d = 60t
travels at a rate of 60 miles an hour
100
2/3 + 5/7
29/21 or 1 8/21
200
Solve:
3(x – 4) + 2(x + 5) = 4x + 6
x=8
200
Describe the end behavior of the function
f(x) = –x² + 4
maximum
200
Solve the system: 2x + y = 7 and x – y = 1
(8/3, 5/3)
200
Compare the y-intercepts of f(x) = 2x + 3 and g(x) = 2x – 5
3 is positive
-5 is negative
difference of 8
200
The ages of five students are: 16, 17, 16, 18, and 17.
a) Find the mean age.
b) Find the mode of the ages.
mean: 16.8
mode:16 and 17
300
Solve:
(1/2)(x – 4) + (1/3)(x + 2) = 5
x=38/5 or 7.6
300
Given the graph of a function, identify its maximum point
(2.5, 5.1)
300
Determine if the system has one solution, no solution, or infinitely many: 3x – 2y = 6 and 6x – 4y = 12
infinite solutions
300
Given a table of values, determine the relationship:
x: -1 0 1 2
y: 27 16.2 9.72 5.832
exponential
ratio = 0.6
300
Which number is the only one whose meaning can be written in the same number of letters?
four
400
Solve:
2(3x−4)+5=3(2x+1)−2
no solution
400
What is the average rate of the function f(x)=x^2+4x+5 from year 1 to year 3?
8
400
Solve the system: x + 2y = 5 and 3x – y = 4
(13/7 ,11/7)
400
A new phone app had 500 downloads in its first week. The number of downloads doubles every week after that.
a) Write an exponential function that models the number of downloads after t weeks.
b) How many downloads will the app have after 6 weeks?
c) After how many weeks will the number of downloads exceed 64,000?
D(t)=500⋅2^t
32,000 downloads
week 8
400
A population of bacteria doubles every 4 hours. If there are initially 500 bacteria, write an exponential function for the population after t hours, and find the population after 12 hours.
P(t)=500×2^(t/4)
4000
500
Solve:
4[2(x – 1) + 3] – x = 3(2x + 5) – 7
x = 4
500
Find the interval where the function f(x) = x³ – 3x is increasing
(−∞,−1)∪(1,∞)
500
Solve the system: 4x – 5y = –2 and 2x + y = 7
(33/14, 16/7)
500
Explain the significance of the x-intercept in a real-world context where y represents profit and x represents the number of units sold
The x-intercept is the point where the profit y is zero. This means:
At this number of units sold, the business breaks even — it neither makes a profit nor a loss.
Selling fewer than this number of units results in a loss (negative profit).
Selling more than this number results in a positive profit.
500
"Father of Calculus": who is he?
Scientist and mathematician Sir Isaac Newton was the first person to be given credit for creating calculus.