Quantities and Relationships
Function Families and Characteristics
Sequences
Linear Functions
Equations and Inequalities
Solving Systems
100
Does the following graph represent a function? Explain why or why not.
Not a function. The graph does not pass the vertical line test.
100
Which type of function is
f(x)=x^2+4x+4?
Quadratic Function
100
What is the next term in the sequence
5,8,11,14,17...?
20
100
Calculate the average rate of change for g(x).
m=-1
100
Graph the following inequality on a number line
x<=-6
100
Which ordered pair is the solution to the linear functions graphed?
(2,6)
200
An independent quantity in a relationship is commonly related to what?
Time
200
Which type of function is
f(x)=20^x?
Exponential Function
200
What is the next term in the sequence
9,3,1,1/3...?
1/9
200
What is the y-intercept of the line represented by the following table of values:
b=7
200
Identify the x- and y-intercepts of the following equation:
6x-2y=-12
x-intercept
(-2,0)
y-intercept
(0,6)
200
Solve the following system using substitution:
2x-5y=10
x=y-4
(-10,-6)
300
Identify the dependent quantity for the following graph:
Distance from home (miles)
300
Sketch a graph of an increasing, discrete, linear function AND write the equation of your function using function notation.
Example:
f(x)=x
300
Is the following sequence arithmetic or geometric? Explain your answer by identifying the common difference or common ratio.
45,36,27,18,9...
Arithmetic - Common Difference is -9
300
What is the slope of the line represented by the following table of values:
m=4
300
What is the solution to the equation
4(8n-1)=19+32n
No Solution
300
Solve the following system using elimination:
-5x+4y=20
5x-2y=10
(8,15)
400
Does the following relation represent a function? Explain why or why not.
Yes, it is a function. Each input produces only one output.
400
Sketch a graph of a continuous, linear absolute value function with an absolute maximum.
400
Is the following sequence arithmetic or geometric? Explain your answer by identifying the common difference or common ratio.
2,-6,18,-54,162...
Geometric - Common Ratio is -3
400
Does the following table of values represent a linear function? Explain.
No, the table does not represent a linear function. The slope between points is not constant.
(3-1)/(1-0)=2
(4-3)/(2-1)=1
400
Solve for b if
a=bc
b=a/c
400
Solve the following system using elimination:
-7x+8y=20
3x-2y=10
(12,13)
500
Identify the independent and dependent quantities for the following scenario:
Heath has 10 pennies in his piggy bank initially. He doubles the number of pennies in his piggy bank each day for five days.
Independent - time (days)
Dependent - money (pennies)
500
Sketch a graph of a constant, continuous, linear function AND write the equation of your function using function notation.
Example:
f(x)=1
500
Identify the common ratio AND the next term in the sequence
25,-5,1,-1/5,1/25...
Common Ratio
-1/5
Next Term
-1/125
500
Write an equation that models the table of values.
f(x)=2x+1
500
Solve and graph the inequality:
-2(x-4)>10
x<-1
500
Write a system of equations in the format y = mx + b
for the following scenario:
DJ pays $60 for a cell phone plan per month and $0.5 for each minute used. Tyler pays $30 each month and $0.8 per minute.
y = 0.5x + 60
y = 0.8x + 30