Solve by Graphing
Solve Algebraically
Solve Multistep
Equations
Equations
y=mx+b
Slope Applications
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve for m: m - 6 = -3
What is m = 3?
100
Define Slope?
What is rise/run, change in y over change in x, constant rate of change.
100
The roof of a house rises three feet for every four feet of horizontal distance. What is the slope of the roof?
What is 3/4?
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
200
Solve for x: -3x - 2 = -17
What is x = 5?
200
Define y intercept?
What is the point where the line crosses the y axis?
200
Building code requires that the minimum slope (or pitch) of a roof with asphalt shingles to be such that it rises at least four feet for every twelve of horizontal distance. What is the slope as a ratio?
What is 1:3?
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve for c: -3 + 9c = -39
What is c = -4?
300
Write and equation in slope-intercept form when slope = 3 and y-intercept is 2?
What is y=3x + 2?
300
The top of a ladder is twelve feet from the ground. The base of the ladder is five feet to the left of the wall. What is the slope of the ladder?
What is 12/5?
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
400
Solve for y: 3(y + 2) + y = -14
What is y = -5?
400
Find the slope between (6, 3) & (2, 1)
What is 2/4 or 1/2?
400
Federal regulation requires that all wheelchair ramps mush extend one foot for every one inch or rise. What is the regulation slope of wheelchair ramps?
what is 1/12
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve for x: 3(-2x + 10) = -9x - 3
What is x = -11?
500
The equation of the line that passes through (6,0) and (0,4).
What is y = -2/3x + 4?
500
A resort zipline drops 10 feet every 5 seconds (slope = 2 ft/s) that you coast, eventually reaching the ground at the end. The typical length of a ride is 2 minutes. How high is the starting platform?
What is 240 ft?