Download ws 4d # 1-15 File - Northwest ISD Moodle

Pre-AP Algebra 1: 4d
Name_______________
Graph each pair of lines. Identify each pair as parallel, perpendicular or neither:
(1)
y = 5x – 3
(2)
y = -2x + 1
x+y=3
(3)
x–y=1
2x – 3y = 6
2
y  x2
3
Write each equation in slope-intercept form. Are the lines parallel, perpendicular or neither?
(4)
x – 2y = 5
2x – y = 3
(5)
x – 4y = 8
1
y 3  x
4
(6)
2x + 7y = 21
7x – 2y = 10
The basic fee for renting a floor polisher is $15 plus $2.50 an hour.
The fee to rent a floor sander is $20 plus $2.50 an hour.
Hours
0
1
2
3
4
x
Polisher Process
Polisher Cost
Sander Process
Y1
Sander Cost
Y2
(7)
Graph the lines
(8)
Write an equation for the polisher
(9)
Write an equation for the sander
(10)
Identify the slopes
(11)
Identify the y-intercepts
(12)
Are the lines parallel? Why or why not?
Write each line in slope-intercept form and graph. Which two lines are perpendicular?
(13)
2x – y = 2
Seconds
0
1
2
3
4
t
(14) 4x – 5y = 10
(15)
x + 2y = 4
A plane at an altitude of 22,000 feet descends
50 feet per second in preparation for landing.
Process
Altitude
A
(16)
Write an equation in slope intercept form using A and t.
(17)
What is the slope? What does it mean in terms of this problem?
(18)
What is the y-intercept (A-intercept) ? What does it mean in terms of this problem?
(19)
Graph the equation (label the axes):
(20)
What is the x-intercept? (t-intercept) What does it mean in terms of this problem?
(21)
What if another plane started at 12,000 feet and descended 50 feet per second,
how would the graph compare to the graph above?
(22)
What if another plane started at the same altitude, but descended 25 feet per second,
how would the graph compare to the one above?