1 7 Ordered Pairs Learn to write solutions

1 -7 Ordered Pairs An ordered pair is the pair of plugged in numbers

1 -7 Ordered Pairs Additional Example 1 A: Determining If an Ordered Pair Is

1 -7 Ordered Pairs Additional Example 1 B: Determining If an Ordered Pair Is

1 -7 Ordered Pairs Try This: Example 1 A Determine whether the ordered pair

1 -7 Ordered Pairs Try This: Example 1 B Determine whether the ordered pair

1 -7 Ordered Pairs Additional Example 2 A: Creating a Table of Ordered Pair

1 -7 Ordered Pairs Try This: Example 2 A Use the given values to

1 -7 Ordered Pairs Try This: Example 2 B Use the given values to

1 -7 Ordered Pairs Partner Questions Determine whether each ordered pair is a solution

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1 -7 Ordered Pairs Learn to write solutions of equations in two variables as ordered pairs. Pre-Algebra

1 -7 Ordered Pairs An ordered pair is the pair of plugged in numbers that makes and equation true. y=x+8 (x, y) Ordered pair Our goal is to find x and y numbers that plug into the equation and work. If they do, the ordered pair is a solution to the equation. (x, y) y=x+8 Is (7, 15) a solution? 15 = 7 + 8 15 = 15 Yes! Is (6, 13) a solution? 13 = 6 + 8 13 = 14 No! Pre-Algebra

1 -7 Ordered Pairs Additional Example 1 A: Determining If an Ordered Pair Is a Solution of an Equation Determine whether the ordered pair (3, 11) is a solution of y = 4 x – 1. A. (3, 11) x y y = 4 x – 1 11 = 4(3) – 1 Substitute 3 for x and 11 for y. 11= 11 A solution since 11=11. (3, 11) is a solution to y = 4 x – 1. Pre-Algebra

1 -7 Ordered Pairs Additional Example 1 B: Determining If an Ordered Pair Is a Solution of an Equation Determine whether the ordered pair (11, 3) is a solution of y = 4 x – 1. B. (11, 3) x y y = 4 x – 1 3 = 4(11) – 1 Substitute 11 for x and 3 for y. 3 = 43 (11, 3) is not a solution to y = 4 x – 1. Pre-Algebra

1 -7 Ordered Pairs Try This: Example 1 A Determine whether the ordered pair (7, 38) is a solution of y = 5 x + 3. A. (7, 38) x y y = 5 x + 3 38 = 5(7) + 3 Substitute 7 for x and 38 for y. 38 = 38 (7, 38) is a solution to y = 5 x + 3. Pre-Algebra

1 -7 Ordered Pairs Try This: Example 1 B Determine whether the ordered pair (30, 9) is a solution of y = 3 x + 3. B. (30, 9) x y y = 3 x + 3 9 = 3(30) + 3 Substitute 30 for x and 9 for y. 9 = 93 (30, 9) is not a solution to y = 3 x + 3. Pre-Algebra

1 -7 Ordered Pairs Additional Example 2 A: Creating a Table of Ordered Pair Solutions Use the given values to make a table of ordered pair solutions. A. y = 7 x for x = 1, 2, 3, 4 x 7 x y (x, y) 1 7(1) 7 (1, 7) 2 7(2) 14 (2, 14) 3 7(3) 21 (3, 21) 4 7(4) 28 (4, 28) Pre-Algebra These four ordered pairs are all solutions that make y = 7 x work.

1 -7 Ordered Pairs Try This: Example 2 A Use the given values to make a table of ordered pair solutions. A. y = 6 x – 3 x for x = 1, 2, 3, 4 6 x - 3 y 1 6(1) – 3 = 6 – 3 = 3 2 6(2) – 3 = 12 – 3 = 9 3 6(3) – 3 = 18 – 3 = 15 4 6(4) – 3 = 24 – 3 = 21 Pre-Algebra These 4 (x, y) ordered (1, 3) pairs are (2, 9) solutions that (3, 15) make (4, 21) y=6 x-3 work.

1 -7 Ordered Pairs Try This: Example 2 B Use the given values to make a table of ordered pair solutions. B. y = 8 x + 2 for x = 1, 2, 3, 4 x 8 x + 2 y (x, y) Pre-Algebra 1 4 8(1) + 2 8(2) + 2 8(3) + 2 8(4) + 2 10 2 3 18 26 34 (3, 26) (4, 34) (1, 10) (2, 18)

1 -7 Ordered Pairs Partner Questions Determine whether each ordered pair is a solution for y = 4 x 7. 1. (2, 15) no 2. (4, 9) yes 3. Use the given values to make a table of solutions. y = 4 x 6 Pre-Algebra for x = 2, 4, 6, 8, 10 x 4 x – 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)