1.) (x - 3)/4 = 6 2.) x/3 + 4 = 10 3.) 2a - 3 = 5a ) 2(3 - x)

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1.) (x - 3)/4 = 6 2.) x/3 + 4 = 10 3.) 2a - 3 = 5a - 9 4.) 2(3 - x) Bellwork 10/12 Solve and Check: (Show your work) 1.) (x - 3)/4 = 6 2.) x/3 + 4 = 10 3.) 2a - 3 = 5a - 9 Simplify: 4.) 2(3 - x) 5.) 3(6 - 2y)

Bellwork 10/12 4.) 2(3 - x) 5.) 3(6 - 2y) Solve and Check: 3.) 2a - 3 = 5a - 9 4.) 2(3 - x) 5.) 3(6 - 2y) Solution Check x = 27 6=6 x = 18 10=10 2 = a 1 =1 Simplify 6 - 2x 18 - 6y

To be able to solve equations with fractions and decimals. Today’s Objective To be able to solve equations with fractions and decimals.

Multiply by 100 Example #1 Why 100 ? 3.57x - 37.40 = .23x + 8.32 (100)3.57x-37.40=.23x+8.32(100) 357x - 3740 = 23x + 832 357x -23x - 3740 = 23x -23x + 832 334x - 3740 = 832 334x - 3740 + 3740 = 832 + 3740 334x = 4572

Example #1 334x = 4572 334x/334 = 4572/334 x  13.69

Remove the decimal points Now you try this Remove the decimal points 4.5 - 7.2x = 3.4x - 49.5 (10)4.5 - 7.2x = 3.4x - 49.5(10) 45 - 72x = 34x - 495

Now you try this 4.5 - 7.2x = 3.4x - 49.5 45 - 72x = 34x - 495

Now you try this 540 = 106x 540/106 = 106x/106 5.1  x

Equations with Fractions and special fraction problems

x/3 - 9 + 9 = 21 + 9 x/3 = 30 (3)x/3 = 30(3) x = 90 Example #1

Check #1 x/3 - 9 = 21 90/3 - 9 = 21 30 - 9 = 21 21 = 21 True

Now You try this one (solve and check)

Check a/5 - 6 = 10 80/5 - 6 = 10 16 - 6 = 10 10 = 10 True

Example #2 (3)(x - 9)/3 = 21(3) x - 9 = 63 x - 9 + 9 = 63 + 9 x = 72

Check #2 (x - 9)/3 = 21 (72 - 9)/3 = 21 63/3 = 21 21 = 21 True

Now You try this one (solve and check) (x - 2)/3 = 5 (3)(x - 2)/3 = 5(3) x - 2 = 15 x - 2 + 2 = 15 + 2 x = 17

Check (x - 2)/3 = 5 (17 - 2)/3 = 5 15/3 = 5 5 = 5 True

Be READY to tell me the Mistake Below: 2(6 - 2x) = 4 12 - 2x = 4 12 -12 - 2x = 4 - 12 - 2x = -8 -2x/-2 = -8/-2 x = 4

The corrected version 2(6 - 2x) = 4 12 - 4x = 4 12 -12 - 4x = 4 - 12

Be READY to tell me the Mistake Below: 2(6 - 2x) = 4 12 - 4x = 4 12 - 12 - 4x = 4 - 12 4x = -8 4x/4 = -8/4 x = -2

The corrected version 2(6 - 2x) = 4 12 - 4x = 4 12 -12 - 4x = 4 - 12

Solve the following 1.) 2(3-x) = 4 2.) 2(6 - 2x) = 4 3.) 1/2(4 - 6a) = 6 x = 1 x = 2 a = -4/3

Classwork Do worksheet 3-5 (1-24) Homework Page 151 (5-28)