Functions and Function Notation
Writing Linear Equations
Parallel and Perpendicular Lines
Linear Word Problems
100
Determine if the following is a function.
Yes - The Vertical Line Test
100
Write the equation of the line in slope-intercept form given the following:
Slope = -2; Y-intercept = -5
y = -2x - 5
100
Are the following equations parallel, perpendicular, or neither?
y = 2x + 8
y = 2x - 6
Parallel
100
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H represents the height of the tree (in centimeters), t years since Renata moved in.
H = 210 + 33t
How fast does the tree grow per year?
33 centimeters per year
200
Determine if the following is a function:
Yes, the x-values do not repeat.
200
Write the equation in point-slope form given the following information:
m=4; through the point (-2, 5)
y - 5 = 4(x + 2)
200
Write an equation of the line in point-slope form that passes through the given point and is perpendicular to the given line.
(-7, 9); y = -4x + 8
y - 9 = 1/4(x + 7)
200
Kinsley is refinishing her wooden deck. She completed 10 square yards over the weekend, and during the week she will refinish 8 square yards per day.
Write an equation that shows how the total number of square yards refinished, y, depends on the number of weekdays Kinsley works, x.
y = 8x + 10
300
If f(x) = 3x - 5 find f(4).
f(4) = 7
300
Write the equation in point-slope form that goes through the points:
(2, 5) and (-1, 9)
y - 5 = -4/3(x - 2)
or
y - 9 = -4/3(x + 1)
300
Write the equation of the line in point-slope form that passes through the given point and is perpendicular to the given line.
y - 3 = -1/2(x + 1)
300
The equation below shows the relationship between the amount of water left in the tub (in gallons) and the time that passed (in minutes) since Alex started draining the tub.
d(t) = -3x + 15
What does the y-intercept mean in the context of the problem.
The tub started with 15 gallons of water in it.
400
g(x) = 3/4x - 2
Find x if g(x) = 7
x = 12
400
Write the equation in point-slope form then convert it to slope-intercept form that goes through the points:
(-3, 5) and (-2, -7)
y = -12x - 31
400
Determine which lines, if any, are parallel or perpendicular.
Line A: (7, 9) and (-3, 10)
Line B: y = 10x + 8
Line C: -3y - 30x = 9
Line A and Line B are perpendicular.
400
Henry is planning a bowling party. The cost for 8 people is $123 and the cost for 12 people is $167.
Find the slope and explain what it means in the context of the problem.
m = 11
It cost $11/person to bowl.
500
Find the value of x so that the function has the given value:
f(x) = 2/3x - 1/4; f(x) = 1/2x - 5
x=-57/2 or x=-28.5
500
Write the equation in point-slope form then convert it to slope-intercept form that goes through:
f(4) = 10; f(-1) = 0
y = 2x + 2
500
Line A has the equation y = 2x + 3
Line B goes through the point (1, 4) and (3, a).
What value of "a" would make these two lines parallel?
a = 8
500
Suppose a 5-minute overseas phone call costs $5.91 and a 10 minute call costs $10.86. The cost of the call and length of the call are related.
Write an equation, in function form, to model the situation.
f(x) = 0.99x + 0.96