Functions
Linear Functions
Rate of Change
Data
Grab Bag
100
Is this a function?
Yes (because there are no repeat x values.)
100
What is the equation for this linear function?
y=1/2x+2
100
What is the rate of change shown in this table?
2
100
Find the mode.
78
100
Which graphing calculator is embedded in the Keystone Algebra test?
Desmos, Pennsylvania edition
200
Is this a function?
Yes (because it passes the vertical line test, at x=3 the value is -2)
200
Does this table represent a linear function? Explain your thinking.
No, this is not a linear function because it doesn't have a constant rate of change.
200
What is the rate of change?
3/4
200
Find the median.
72.5 (halfway between 70 and 75).
200
True or false. The formula sheet for the Keystone contains all three forms of a line and their equations.
True! Point-slope, slope-intercept and standard are all there.
300
What is the domain of this relation?
{-1, 0, 1, 2, 3}
300
Write an equation to represent the relationship in this table.
y=2x+5
300
What is the y-intercept of the line given by the equation shown below?
2x-8y=24
(0,-3)
300
Find the mean.
69.5 (add all the numbers and divide by the number of numbers)
300
How many total multiple choice questions does the Keystone contain (both modules together)?
46 (23 in each module)
400
Which expression best describes the sequence -2, 1, 4, 7...? Explain your thinking.
A. n+3
B. 3n-5
B. 3n-5, when you substitute 1 for the first term, you get 3*1-5, which is -2. Then 2 for the second term, you get 3*2-5, which is 1, etc.
400
What is the slope of a line that is perpendicular to the line described below?
y=-1/3x-5
3 (You take the opposite reciprocal of the slope.)
400
Suppose that a bike rents for $4 plus $1.50 per hour. How many hours have you rented the bike if your total bill is $16?
8 hours
400
What percent of the students scored 85 or higher?
50%
400
How many total constructed response questions does the Keystone contain (both modules together)?
8 (4 in each module)
500
What one ordered pair could you change to make this table into a function?
(4,7) or (4,14) would need to be changed because the x value of 4 repeats
500
What does the y-intercept of this linear function represent in the context of the problem?
The weight of the jar (or the weight of the jar with zero marbles in it)
500
Write an equation in slope-intercept form for the line containing the points (-1,9) and (4,-6).
y=-3x+6
500
What is the interquartile range shown on the box plot?
40 (Q3-Q1 is 70-30=40)
500
True or False. Your proctor is allowed to offer to read questions to you during the Keystone Algebra test.
False! But YOU can ask to have any question read to you, multiple times if you need.