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WorksheetsLinear Functions Study Guide
Total questions: 63
Worksheet time: 3hrs 43mins
An airplane is flying at 20,000 ft and needs to ascend up to 35,000 ft to avoid a storm that is up ahead. The plane rises at a rate of 3,000 ft per minute. Which equation shows the height H of the plane after x minutes
H = 3,000x + 20,000
H = 3,000x + 35,000
H = 20,000x + 3,000
H = 35,000x + 3,000
A balloon is released from the top of a building that is 50 meters tall. The balloon rises at the rate of 4 meters per second. Which equation represents the situation?
y = 4x + 50
y = - 4x + 50
y = 50 - 4x
y = 4x - 50
What is the m and b? (rewrite first)
1/2x - 3 + y = 0
m = 1/2 b = -3
m = -1/2 b = 3
m = 1/2 b = 3
m = -1/2 b = -3
-4x + 2y = -6
which of the following is a line for a vertical equation?
y = x
x = 5
x = y + 0
y = 5
which of the following passes through the origin?
y = 5
y = 5x
y = -5
x = 5
y = -3
y = 2x + 3
(6, 7) ?
y=3x+2 and y=3x−3
These lines are...
the same line
perpendicular
neither
parallel
y = 75x
What is the unit rate for the rain fall?
(a)
y=2x
y=-1/2x
y=-2x
Which relation is a function?
In which set of ordered pairs (x,y), is y NOT a function of x?
{(1,4), (4,1)}
{(1,4), (6,4)}
{(6,1), (1,6), (1,4)}
{(6,6), (1,1), (4,4)}
Which relation is NOT a function?
Which of the following in NOT the graph of a function?
Select all the graphs that represent functions.
Which relation is a function?
Write a linear function that has a slope of -2 and passes through the point (-3, 4).
f(x) = -2x - 2
f(x) = -2x + 4
f(x) = =2x + 3
f(x) = -2x + 2
Is the following graph linear or non-linear? Why?
Linear, because it goes in a straight line.
Non-linear, because it is dots.
Non-linear, because it doesn't go in a straight line.
Linear, because it is dots.
What is the slope of the graph given?
3/2
-3/2
2/3
-2/3
Write the equation for the graph in slope intercept form
y= 4x
y= 2
y= 4
y= 2x
Which equation would pass the origin and have a slope of ⅔ .
⅔y = x
y = ⅔x
x = ⅔y + 1
y = ⅔x - ⅔
_____ ____ _____.
what is the slope of the following 12x - 6y = 30
2
-2
12
-12
what is the slope of y = 4 - 6x
4
6
-6
-4
what is the slope intercept form for the equation -2x + 8y = 2
y = -2x + 8
y = 1/4x + 1/4
y = -1/4x - 1/4x
y = 2/8x + 4
(-2, -1); m= -3
Two lines that are parallel will have ...
Slope that is opposite reciprocals
No slope
Slope that is the same
none of the above
5x + y = 5
What is a function?
A function is a relation that assigns exactly one output value for each input value.
A function is a mathematical operation that combines two or more numbers.
A function is a type of graph that represents data visually.
A function is a set of instructions for a computer program.
What does it mean for a function to be nonlinear?
A nonlinear function is a function that does not graph to a straight line, indicating a variable rate of change.
A nonlinear function is a function that graphs to a straight line, indicating a constant rate of change.
A nonlinear function is a function that can be represented by a polynomial of degree one.
A nonlinear function is a function that has no variables.
What is a table of values in relation to functions?
A table of values shows the graphical representation of a function.
A table of values lists pairs of input and output values for a function, showing how each input corresponds to an output.
A table of values is used to calculate the derivative of a function.
A table of values is a list of all possible functions in a given set.
What is a graph of a function?
A graph of a function visually represents the relationship between input values (x) and output values (y) on a coordinate plane.
A graph of a function is a random collection of points on a plane.
A graph of a function shows only the output values (y) without any input values (x).
A graph of a function is a diagram that represents only the maximum values of a function.
