Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Linear Functions Word Problems
Miscellaneous
100
Describe a y-intercept.
The y intercept is the point where the line crosses the y axis. At this point x=0
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
Does the table represent a linear or nonlinear function? Explain using the phrase "constant rate of change."
x y
2 9
4 18
6 27
8 36
This represents a linear equation because x and y have a constant rate of change.
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
What is F(22) if F(x) = -3x + 10?
-56
100
Function or not?
(-2,3), (-1,3), (8,4), (11,2)
yes
200
Describe an 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 with a slope of 2 and a y-intercept of 6
y=2x + 6
200
In the graph of x = 4, does this represent a function?
A vertical line is not considered a function as the input 4 is paired with multiple outputs.
200
What is the slope of a horizontal line?
The slope is 0.
200
Your friend runs at a pace of about 5 miles per hour. The table represents the number of hours (x) and the number of miles (y). Is the domain discrete or continuous? Explain.
x y
0 0
1 5
2 10
3 15
The domain is continuous; a person can run for part of an hour.
200
Solve the equation for x:
2(x + 3) = 14
x = 4
300
The definition of slope is...
What is the steepness of a line?
300
Write a linear function whose slope is 20 and y-intercept is -15.
y=20x-15
300
DAILY DOUBLE!!!!
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
Is the function represented by the ordered pairs linear or nonlinear? Explain.
(0,2) (1,4) (2,6) (3,8) (4,10) (10,22)
This represents a linear function. Both x and y increase by a constant rate of change.
300
Clarence wanted to see how high his football would fly up into the air. The graph represents the path from his hands and back down when he caught the ball. Approximate where the function is positive and negative.
Positive at 1<x<5
Negative at x<1 and x>5
300
Function or not?
(-2,3), (-1,3), (-2,4), (0,2)
no
400
What is "Slope-Intercept Form" of a line?
400
Write a linear function with slope of 3/4 and y-intercept of 2.
y= 3/4x +2
400
Would the equation below produce a linear or nonlinear function?
18x - 2y = 26
The equation would produce a linear function because x and y have exponents of 1.
400
Is the function represented by the ordered pairs linear or nonlinear? Explain.
(2,2) (6,6) (10,10) (14,14)
This represents a linear function. Both x and y increase by a constant rate of change.
400
What is F(73) if F(x) = 3x + 2050?
2,269
400
Function or not?
(-3,3), (-1,3), (8,4), (16,2)
yes
500
Define a linear function.
What is a function whose graph is a nonvertical line and has a constant rate of change?
500
Write a linear function with slope of 0.5 and y-intercept of 2.
y=0.5x+2
500
Which of the following equations do NOT represent linear functions?
A. 12 = 2x2 + 4y2 D. x = 9 - 3/4y
B. y = x + 3 E. y = 5x/11
C. 2x + y = 8 F. xy = 9
A, F
500
What is B if this is a linear function?
x -1 0 1 2 5 8
y -2 1 4 7 B 25
16
500
What is G(-12) if G(x) = 2x + 21?
-3
500
Explain two ways you could solve 20 = 5(−3 + x)
1) Divide by 5 first, or (2) Distribute the 5 first