Warm Ups {(2,0) (-1,3) (2,4)} 1. Write as table 2. Write as graph 3. Write as map 4. State domain &...
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Warm Ups {(2,0) (-1,3) (2,4)} 1. Write as table 2. Write as graph 3. Write as map 4. State domain & range 5. State the inverse
Transcript of Warm Ups {(2,0) (-1,3) (2,4)} 1. Write as table 2. Write as graph 3. Write as map 4. State domain &...
Warm Ups
{(2,0) (-1,3) (2,4)}
1. Write as table
2. Write as graph
3. Write as map
4. State domain & range
5. State the inverse
5-3 Equations as Relations
Objective: To determine solutions to equations.
Standard 16.0
Ordered pairs: always write in alphabetical order
(x, y) (a, b) (r, s)
Linear Equation: an equation that, when graphed, creates a straight line.
Solution: ordered pairs that give a true statement
Example 1Which of these are solutions of 3x + y = 8 ?1. Plug in the values for x and y
2. Simplify each side
3. Check if they are equal
(4,-4) (8,0) (2,2) (3,1) x y
3(4) + (-4) = 8
12 + -4 = 8
8 = 8
Yes!
x y
3(8) + 0 = 8
24 + 0 = 8
24 = 8
No!
x y
3(2) + 2 = 8
6 + 2 = 8
8 = 8
Yes!
x y
3(3) + 1 = 8
9 + 1 = 8
10 = 8
No!
Example 2
Solve the equation 2x + 2y = 14 given x = -31. Substitute
2. Solve for remaining variable
3. Write as ordered pair
2x + 2y = 14
2(-3) + 2y = 14
-6 + 2y = 14
+6 +6
2y = 20
y = 10(-3, 10)
Given the domain…
Solve the equation x + y = 4 if the domain is {-4, -2, 0, 2, 4}Plug it in, domain = x
Answer as ordered pairs!
What if…
I gave you the range instead of the domain?
How would you solve the equation given the range? Plug the values in for y, then solve for x
Example 3
Make a table and graph y = x + 6 if the domain is {-4,-3,2,4}
Answer:
(-4,2) (-3,3) (2,8) (4,10)
This is a linear equation so you should be able to
connect the dots and make a line.
TOO
1. y = -1 for 3x = 13 – 2y
2. x = 10 for 5x + 3 = y
Answers
1. (5, -1)
2. (10, 53)
Homework
5-3 Practice
