Slope Intercept
Functions and Equations
Linear Inequalities
Word Problems
Miscellaneous
100
What are the intercepts?
The y -intercept is (0,6) and the x-intercept is (-3, 0)
100 bonus points if you write the answer in Standard Form...
100
Which two of the functions below are linear?
a) 2x + 3y = 11
b) -2x+ y = -3x2 + 10
c) (1/2)x + (3/4) y = 5/16
d) y = 2x + 3
a and c are linear...
50 bonus points...
what is b?
what is d?
100
Is the point a solution to the system?
No! The point lies on the DASHED line, so you cannot include it in the solution!
100
Ismael started the day with an irrigation pipe of 120 feet long. He used the equation L=15s+20 to determine the total length of the pipe as new sections of pipe, s. were welded on to the end. What is the slope of the line? What does the slope represent in the context of the problem?
15 feet for each section of pipe
100
Write both the standard form and the slope-intercept form of a linear equation.
Ax + By = C
y = mx + b
50 bonus points...
What is the point-slope form of a linear equation?
200
What is the slope of 5x + 4y = 0?
Slope is 5/-4
200
What is the equation for the line with the given coordinates?
(1, 3) (-1, -1)
slope = Change in y = -1 – 3 = -4
Change in x = -1 – 1 = -2
so the slope is (-4/-2) = 2
y-int = 3 = 2(1) + b
1 = b
y = 2x + 1
200
Graph the system of inequalities.
200
Ricardo is draining his pool for the winter. There are 240 gallons in the pool and it is decreasing at a rate of 20 gallons per hours. Write an equation to represent the relationship between the amount of water in the pool, y, and the number of hours the pool has been draining, x.
y = 240 - 20x
200
What are the slope and the y-intercept on a graph with the coordinates (0,9) and (2,0)?
The slope is 4.5 and the y-intercept is 9.
300
What is the equation?
y = x
300
Find the equation of the line from the following points: (2,1)(3,2)(4,3)(5,4).
y = x - 1
300
Graph the system of inequalities.
300
Steven is learning to scuba dive. The equation D=20L+15 represents the depth he cna dive in feet, D, based on the number of lessons he has had, L.
How deep can Steven dive after he takes 13 lessons?
275 feet
300
What equation does this table represent?
y = 1.5x
400
What is the equation of the linear function that goes through the points (2,3) and (-1, 4)?
x + 3y = 11
y - 3 = -1/3(x-2)
y = (-1/3)x + (11/3)
400
Find the point that is the intersection of the following lines:
y = -2x -17
y = 2x + 11
(-7, -3)
400
The graph of the system
is best shown by which graph?
A
400
David works at the T-shirt shack selling tees. The equation y=15x-520 represents the profit that the T-shirt Shack makes for each t-shirt sold, where y is the total profit and x is the number of t-shirts sold.
How many t-shirts does the T-shirt Shack need to sell to make a profit of $140?
44 shirts
400
What equation would this table represent?
y = 5x + 4
500
What are the slope and y-intercept in the equation of
y = -5?
The slope is 0 and the y-intercept is -5.
500
What is the intersection of the linear system?
3y + 2x = 6
5y - 2x = 10
Solution is (0,2).
Bonus 100 points...
Solve using a second method.
500
DAILY DOUBLE!!!
Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of air and water while using less than 49 Joules of energy.
12A+8W > 343, represents the number of minutes the robot filters air A and water W to filter more than 343 liters of air and water.
3A+4W < 49, represents the number of minutes the robot filters air and water while using less than 49 Joules of energy.
Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15 minutes?
The robot filters the expected amount of air and water, but it does not use the expected amount of energy.
500
Alex paints faces at kids' birthday parties to earn extra money. The equation M=2.50f+12 represents the relationship between the money she makes, M, and the number of faces she paints, f.
Alex wants to buy a new pair of Uggs that cost $119.50. How many faces does she need to paint?
43 faces
500
Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)
Yes, constant change in 3 for x. Constant change of -1 in y.