Linear Relationships
Functions
Graphs & Sets
Linear Functions
Linear Equations
100
What is the y-intercept in the following equation? y = 5.2x - 8
-8
100
What is the definition of a function?
For each x value there is one and only one corresponding y value.
100
Which graph does not represent a function?
4
100
Write a rule for this table of values.
y = (1/8)x
100
What is the equation that describes the function?
y = (2)x + 14
200
Solve the following equation: y = 3.5x - 2 when x = 7
22.5
200
Is the following a function? Why or why not? (Note: you must explain why or why not to get the points for this problem)
y = 0
Yes because each x value has one and only one y value.
200
Which graph represents a function?
4
200
How long will it take to run 10 miles using the previous function, y=(1/8)x ?
80 minutes or 1 hour and 20 minutes.
200
Complete the table using the rule y = 2x +14. List the 3 numbers in coordinate points.
300
What is the slope of the line that passes through the points (5,7) and (9,15)?
2
300
The following points are on a line: (4, 2) (4, 3) (4, 4) Is the line a function? Why or why not? You must correctly answer why or why not to get credit for this question.
No, because for the value x = 4 there is more than one possible y value.
300
Which relation is a function?
4
300
Write the equation that describes the total number of pages read, y, as a linear function of the number of minutes, x, spent reading.
y=(7/2)x or y=(3.5)x
300
Is the cost of the tickets linear or nonlinear? (*Hint: Is y/x the same proportion for each deal?)
Linear. The cost per ticket is $9.25.
400
Solve the following equation y = -8x + 7 when y = -17
x=3
400
Is the equation x = 6 linear? Why or why not? Is it a function? Why or why not? Answer all parts of above for credit for this question.
Yes it is linear because it forms a straight line (vertical) No it is not a function because there is more than one y value when x = 6.
400
Which representations are functions?
2
400
A friend has already read 30 pages. She reads 5 pages in 2 minutes. When will the two friends be on the same page? (y = 3.5x). Bonus - what page will they be on?
After 30 minutes they will be on page 105
400
If you have $145 to spend, about how many tickets can you purchase?
15 tickets
500
Find the solution to the following system of equations: y = 3x + 5 and y = -2x - 10
(-3,-4)
500
What is the slope of x = -10?
Undefined
500
What coordinate point can I add to this set in order to make it NOT a function?
{(2,5),(3,9),(5,19),(11,19)}
Any coordinate that has an x of 2, 3, 5, or 11.
500
A certain book has 396 pages. The student has already read 3/8 of the pages and now picks up the book again at time x = 0 minutes. They are reading 26 pages in 12 minutes. Write the equation that describes the total number of pages of the book read as a function of the number of minutes of further reading.
y=(13/6)x + 148.5
500
Is the following relation a linear or nonlinear function?
Nonlinear. There is not a constant rate of change.