
Intro to Systems of Equations
Presentation
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Medium
Standards-aligned
Christopher Wells
Used 20+ times
FREE Resource
7 Slides • 3 Questions
1
Intro to Systems of Equations
By Christopher Wells
2
Mo' money, mo' problems
You recently received some birthday money, $130 to be exact. You count th number of bills you have and find that you have 17 bills, all either $10 or $5 bills.
How many of each bill do you have?
Hint: Just try guessing and checking first!
3
Poll
Which do you think is correct?
nine $5 bills and eight $10 bills
eight $5 bills and nine $10 bills
ten $5 bills and seven $10 bills
six $5 bills and eleven $10 bills
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You have nine $10 bills and eight $5 bills.
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You've lost me.....
Systems of equations are two or more equations that have the same variables like:
y = x + 1
y = -2x + 6
which both have an x and a y
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How does this have to do with math?
Sometimes, in math, we are asked for two answers, like how many $5 bills AND $10 bills. Systems of equations are how we solve these problems.
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Systems of Equations
Systems of equations are used when we are given two pieces of information and asked for two answers from it, like our first question.
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Multiple Choice
What kind of equations did we learn to graph and solve last unit?
nonlinear
linear
proportional
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Solutions are where two lines intersect on a graph and these are our answers.
The solutions here is (1, -3) because that is where the lines intersect!
Solutions = answers
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Multiple Select
WHat is a solution to a system of linear equations?
The point where both lines intersetct.
The point where the y-axis and x-axis meet.
An ordered pair that both lines share.
A salt dissilved in water.
Intro to Systems of Equations
By Christopher Wells
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