Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Word Problems/Direct Variation
Arithmetic Sequences
100
__________ are those whose graph is a straight line.
Linear function
100
Write the following linear function in Standard Form. 3y = 9x + 6
3x - y = -2
100
Identify the x-intercept and y-intercept of the standard form equation -5x + 3y = -15
x-intercept: 3
y-intercept: -5
100
Identify the slope of the linear equation y = -x + 6.
The slope is -1
100
The number of pints of blood in a human's body varies directly with the person's weight. A person who weighs 120 pounds has 8 pints of blood in their body. Write an equation for this situation.
y = 1/15x
100
Name the next three terms in the sequence 18, 9, 0, ...
-9, -18, -27
200
What is the definition of x-intercept?
The x intercept is the point where the line crosses the x axis. At this point y = 0.
200
Write a linear function in standard form where A=2 B=-4 and C=19
2x - 4y = 19
200
What is the y-intercept of a graph representing a proportional relationship?
y = 0 or (0, 0)
200
Find the slope of a line that passes through the points (0, 5) and (2, 10).
m = 5/2
200
Anthony is buying carrots and celery at the grocery store. The carrots cost $1.50 per pound, x. The celery costs $1.25 per pound, y. He has a total of $10 to spend. Write an equation in standard form that represents how many pounds of carrots x and pound of celery y that he can buy.
1.5x + 1.25y = 10
200
Is the following sequence arithmetic? 5, 6, 8, 11, 15,...
No, not a constant common difference
300
Slope
300
Write the linear function in this graph:
y = 20x - 15
300
The given table shows a linear function.
What is the missing number in the table?
x 0 2 4 6
y -1 1 ? 5
3
300
What is the slope of the linear function y = 14?
0
300
Maria wants to buy oranges and bananas at the store. Let x represent the number of oranges and y represent the number of bananas. Oranges are $5 a pound and bananas are $4 a pound. She has a total of $20 to spend. Write an equation in standard form that represents the situation.
5x + 4y = 20
300
Write the function for the nth term of the sequence 5, 8, 11, 14,...
an = 3n + 2
400
What is the definition of y-intercept?
The y intercept is the point where the line crosses the y axis. At this point x=0
400
Write a function for the line that passes through the points (0,2) and (-4,5).
y = -3/4x + 2
400
Solve 3x - 2 = 0 by graphing. (Find root and one more point).
x = 2/3
example points: (0,-2), (1,1), (2,4)
400
Find the missing value of r: m = -3 and contains the points (-2 , r) and (5 , -13)
r = 8
400
T-Mobile charges $100 a month for a family plan for four people. They also charge a one time set up fee of $25. Write a function to show how much money she spends in total after x months.
y = 100x + 25
400
Write the function for the nth term of the sequence 5, 17, 29, 41,... and then find the 10th term.
an = 12n - 7
a10 = 113
500
What is the Standard Form of a linear function?
500
Write a function for the line that passes through the points (1,1) and (5,9).
y = 2x - 1
500
How could you write this equation in standard form? y = 2/3x + 4
-2x + 3y = 12
500
Write the function of the table below.
x -1 2 5 8
y -2 7 16 25
y = 3x + 1
500
If y = 6 when x = 9, find x when y = 12.
x = 18
500
Write the function for the nth term of the sequence 0, -15, -30, -45,... and then find what number term -270 is.
an = -15n + 15, -270 is the 19th term.