} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = x =

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Presentation transcript:

Solving 2 Step Equations using the Distributive Property and Combining Like Terms

} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = 36 -4 -4 4x = 32 4 4

2x + 2(x + 2) = 36 2(8) + 2(8 + 2) = 36 16 + 2(10) = 36 16 + 20 = 36 Check! 2x + 2(x + 2) = 36 2(8) + 2(8 + 2) = 36 16 + 2(10) = 36 16 + 20 = 36 36 = 36

} 3x + 3(x - 2) = 48 - + 3x + 3x + -6 = 48 6x + -6 = 48 +6 +6 6x = 54

3x + 3(x - 2) = 48 3(9) + 3(9 - 2) = 48 27 + 3(7) = 48 27 + 21 = 48 Check! 3x + 3(x - 2) = 48 3(9) + 3(9 - 2) = 48 27 + 3(7) = 48 27 + 21 = 48 48 = 48

} 6x + 3(x - 2) = 39 - + 6x + 3x + -6 = 39 9x + -6 = 39 +6 +6 9x = 45

6x + 3(x - 2) = 39 6(5) + 3(5 - 2) = 39 30 + 3(3) = 39 30 + 9 = 39 Check! 6x + 3(x - 2) = 39 6(5) + 3(5 - 2) = 39 30 + 3(3) = 39 30 + 9 = 39 39 = 39

} 3x + 2(2x - 2) = 45 - + 3x + 4x + -4 = 45 7x + -4 = 45 +4 +4 7x = 49

3x + 2(2x - 2) = 45 3(7) + 2(2(7) - 2) = 45 21 + 2(14 - 2) = 45 Check! 3x + 2(2x - 2) = 45 3(7) + 2(2(7) - 2) = 45 21 + 2(14 - 2) = 45 21 + 2(12) = 45 21 + 24 = 45 45 = 45

} -2x + 3(x - 5) = -15 - + -2x + 3x + -15 = -15 x + -15 = -15 +15 +15

-2x + 3(x - 5) = -15 -2(0) + 3(0 - 5) = -15 0 + 3(- 5) = -15 Check! -2x + 3(x - 5) = -15 -2(0) + 3(0 - 5) = -15 0 + 3(- 5) = -15 0 + -15 = -15 -15 = -15

} -2x - 3(2x - 5) = 23 - - + + -2x + -6x + 15 = 23 -8x + 15 = 23 -15

-2x - 3(2x - 5) = 23 -2(-1) - 3(2(-1) - 5) = 23 2 - 3(-2 - 5) = 23 Check! -2x - 3(2x - 5) = 23 -2(-1) - 3(2(-1) - 5) = 23 2 - 3(-2 - 5) = 23 2 - 3(-7) = 23 2 - -21 = 23 23 = 23