
Unit 2 Lesson 12
Presentation
•
Mathematics
•
8th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 4 Questions
1
Objectives
SWBAT graph a system of equations.
SWBAT solve systems of equations using algebra.
2
Plot a point to represent the y-intercept (b)
Use the slope to plot another point. (m)
Connect the dots.
Graph Systems of Equations
y= 3/5x + 2
y= 1/5x + 4
3
A stack of n small cups has a height, ℎ, in centimeters of h = 1.5n + 6
A stack of n large cups has a height, ℎ, in centimeters of h = 1.5n + 9
12.3: Stacks of Cups
4
Draw
Small Cups: h = 3/2n + 6
Large Cups: h = 3/2n + 9
Graph the equations for each cup on the same set of axes.
5
Here is a graph that represents the equation for stacking the small cups and an equations for stacking the large cups. Use this to answer the next question.
12.3: Stacks of Cups
6
Fill in the Blanks
For what number of cups will the two stacks have the same height?
7
On the next slide is three systems of equations graphed on a coordinate plane
You will match each figure to one of the systems of equations shown.
8
Match
Match each figure to one of the systems of equations shown here.
y=3x+5
y=−2x+20
y=0.5x+12
y=2x+27
y=2x−10
y=4x−1
y=3x+5
y=−2x+20
y=0.5x+12
y=2x+27
y=2x−10
y=4x−1
9
On the next slide you will find the solution to the system of equation.
View the video to see how Mr. Morgan solves!
(Start at 7:34 - 9:30)
13.2: Matching Graphs to Systems
10
Fill in the Blanks
Find the solution and check that your solution is reasonable based on the graph.
(Hint: Make the equations equal to one another, solve for x, and then solve for y. What is the coordinate?)
11
No Solution
One Solution
Infinitely Many Solutions
Objectives
SWBAT graph a system of equations.
SWBAT solve systems of equations using algebra.
Show answer
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