Functions
Linear Functions and Inequalities
Sequences and Exponential Functions
Systems of Equations and Inequalities
Geometry
100
If f(x) = 2x - 3, find f(-1)
-5
100
Find the slope of the line that passes through the coordinates (-3, 3) and (2, 3). Explain what type of line this is.
0, horizontal
100
An arithmetic sequence begins with the following terms: 11, 5, -1, -7, -13.
What is the common difference?
d = -6
100
Is (2, 0) a solution to the linear inequality 2x - y > 4? Explain your answer.
No.
100
What is the name of the angle highlighted in yellow?
angleBPD or angleDPB
200
Does this graph represent a function? Explain.
No. It fails the vertical line test. There is at least one input (ex: x = 3) that has multiple outputs.
200
What is the slope of the line 3x - 5y = 9?
3/5
200
A geometric sequence is given as:
1, 1/4, 1/16, 1/64,...
What is the next term?
1/256
200
Is (-3, 1) a solution to this system of equations?
y = -x - 2
y = 2x + 5
Explain your answer.
No. (It doesn't satisfy the second equation.)
200
What is the length of the missing side of this right triangle?
10
300
Give the domain of this function in interval notation:
(-2,oo)
300
Give the equation of a line that is perpendicular to y = 2x + 3 and passes through the point (0, 5)
y = -1/2x + 5
300
An arithmetic sequence starts 3, 12, 21, 30, ...
Write a formula for the nth term.
t_n=3+9(n-1)
300
What is the solution to this system:
2x - y = -1
3x - y = 2
(3, 7)
300
Why are the following two triangles congruent?
SAS
400
Give the range of this function in interval notation:
[4,12]
400
Solve the inequality -8d - 5 ≤ 4d + 1
Give the answer in interval notation.
[-1/2,oo)
400
Environmental scientists are tracking the recovery of a protected wetland area. The initial breeding population of a rare waterfowl species is 1,000 birds, and ecological models project that the population will grow at a fixed rate of 1.2% per year. Write an exponential equation modeling the waterfowl population y after n years.
y=1000(1+0.012)^n
y=1000(1.012)^n
400
Which region would be the solution to the system:
y ≤ x - 2
y > -2/3x+1
400
(3, -4) is the midpoint of a line segment with one endpoint at (8, 2). What is the other endpoint?
(-2, -10)
500
If f(x)=x^2 and the output is 100, what was x?
10 or -10
500
A linear inequality boundary line crosses the y-axis at 3 and the x-axis at -6. The boundary line is dashed, and the shading is below the line. Write the inequality representing this situation.
y < 1/2x + 3
500
A laboratory culture contains a biological sample with an initial surface area of 5,000 square millimeters. If the culture is treated with a solution that causes it to decrease in size at a steady monthly rate of 10%, what will the total surface area of the sample be exactly one year (12 months) later?
Round to the nearest square millimeter.
1412 square millimeters
500
A coffee shop owner is preparing gift baskets for a holiday promotion using two items: custom ceramic mugs and bags of organic coffee blend. Packaging each ceramic mug takes 3 minutes, and sealing each bag of coffee takes 2 minutes. The owner spent a total of 49 minutes preparing the baskets. In total, the number of coffee bags sealed combined with the number of ceramic mugs packaged was 20.
If M = number of mugs packaged, and B = number of bags of coffee sealed, write a system to represent the situation.
3M+2B=49
M+B=20
500
A triangle has sides of 5, 12, and 14. Classify it by its side lengths and angle measures.
scalene and obtuse