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Unit 4 Day 1 Notes. An ordered pair ( x , y ) is a pair of numbers that can be used to locate a point on a coordinate plane. A solution of a two-variable equation can be written as an ordered pair. ?. ?. 11= 11. 11 = 4( 3 ) – 1. Helpful Hint. - PowerPoint PPT Presentation
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Unit 4 Day 1 Notes
An ordered pair (x, y) is a pair of numbers that can be used to locate a point on a coordinate plane. A solution of a two-variable equation can be written as an ordered pair.
Determine whether each ordered pair is a solution of y = 4x – 1.
(3, 11)
y = 4x – 1
11 = 4(3) – 1?
Substitute 3 for x and 11 for y.
11= 11 ?
(3, 11) is a solution.
A solution since 11=11.
The order in which a solution is written is important. Always write x first, then y.
Helpful Hint
(10, 3)
y = 4x – 1
3 = 4(10) – 1?
Substitute 10 for x and 3 for y.
3 = 39?
(10, 3) is not a solution.
Determine whether each ordered pair is a solution of y = 4x – 1.
Determine whether each ordered pair is a solution of y = 5x + 3.
(7, 38)
y = 5x + 3
38 = 5(7) + 3?
Substitute 7 for x and 38 for y.
38 = 38 ?
(7, 38) is a solution.
Determine whether each ordered pair is a solution of y = 5x + 3.
(9, 17)
y = 5x + 3
17 = 5(9) + 3?
Substitute 9 for x and 17 for y.
17 = 48 ?
(9, 17) is not a solution.
Use the given values to make a table of solutions.
y = x + 3 for x = 1, 2, 3, 4
x x + 3 y (x, y)
1
2
3
4
1 + 3 4 (1, 4)
2 + 3 5 (2, 5)
3 + 3 6 (3, 6)
4 + 3 7 (4, 7)
A table of solutions can be set up vertically or horizontally.
Helpful Hint
Use the given values to make a table of solutions.
y = x + 6 for x = 1, 2, 3, 4
x x + 6 y (x, y)
1
2
3
4
1 + 6 7 (1, 7)
2 + 6 8 (2, 8)
3 + 6 9 (3, 9)
4 + 6 10 (4, 10)
Determine whether each ordered pair is a solution of y = 4x 7.
1. (2, 15) 2. (4, 9)
3. Use the given values to make a table of solutions.
y = 4x 6 for x = 2, 4, 6, 8, and 10
yesno
x 4x – 6 y (x, y)
2 4(2) 6 2 (2, 2)
4 4(4) 6 10 (4, 10)
6 4(6) 6 18 (6, 18)
8 4(8) 6 26 (8, 26)
10 4(10) 6 34 (10, 34)
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