Exercise Solve and check x – 3 = 5. x = 8 8 – 3 = 5.

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Presentation transcript:

Exercise Solve and check x – 3 = 5. x = 8 8 – 3 = 5

Exercise Solve and check 2x – 3 = 5. x = 4 2(4) – 3 = 5

Exercise Solve and check 5x + 2 – 3x – 4 = – 2. x = 0 5(0) + 2 – 3(0) – 4 = – 2

Exercise Solve and check 12 = x + 4 – 3x. x = – 4 12 = – 4 + 4 – 3(– 4)

Exercise Solve and check 3(x – 2) + 18 = 12. x = 0 3(0 – 2) + 18 = 12

Example 1 Solve and check 7x = 16 + 5x. 7x – 5x = 16 + 5x – 5x 2x = 16 7(8) = 16 + 5(8) 56 = 56

Example 2 Solve and check 8x + 5 = x. 8x + 5 – 8x = x – 8x 5 = – 7x 5 7 8(– ) + 5 = – 5 7 5 7 – = –

Example Solve 5a = 3a – 8. a = – 4

Example Solve 2b + 12 = 3b + 8. b = 4

Example Solve 6n = 3(n + 7). n = 7

Example 3 2x – 2x + 9 = 5x – 2x – 3 9 = 3x – 3 9 + 3 = 3x – 3 + 3 Solve and check 2x + 9 = 5x – 3. 2x – 2x + 9 = 5x – 2x – 3 9 = 3x – 3 9 + 3 = 3x – 3 + 3 12 = 3x 3 x = 4 2(4) + 9 = 5(4) – 3 17 = 17

Example 4 7x – 5 – 3x = 3x + 10 – 3x 4x – 5 = 10 4x – 5 + 5 = 10 + 5 Solve and check 7x – 5 = 3x + 10. 7x – 5 – 3x = 3x + 10 – 3x 4x – 5 = 10 4x – 5 + 5 = 10 + 5 x = 15 4 4x = 15 4 7( ) – 5 = 3( ) + 10 15 4 85 4 =

Example 5 Solve and check 4(x – 3) = – 2(3x + 11). 4x – 12 = – 6x – 22 10

Example 5 Solve and check 4(x – 3) = – 2(3x + 11). 10x = – 10 10 10 4(– 1 – 3) = – 2[ 3(– 1) + 11)] – 16 = – 16

Steps in Solving an Equation Eliminate parentheses by distributing. Simplify each side by adding like terms. Isolate the variable on one (either) side.

Steps in Solving an Equation 4. “Undo” additions to or subtractions from the variable term. 5. “Undo” multiplications or divisions of the variable.

Example 6 Solve – 3(x + 4) – 8 = 3x + 4. – 3x – 12 – 8 = 3x + 4 – 6

Example Solve 2m + 17 = – (5m – 2). m = – 15 7

Example Solve 3(r + 2) = – 2(3r – 3). r = 0

Example Solve 3(x + 5) – 4 = 2(4x + 5). x = 1 5

Example Solve 3[x – 2(x + 1)] = 3x + 12. x = – 3

Example Solve 9.5(n + 2) = 4.4(1.5n + 12) – 1.9. n = 11

Example 3 4 2 3 1 6 Solve (w + 2) = 4( w – ). w = 26 23

Exercise 5 7 2 7 Solve k + 4 = k + 13. k = 21

Exercise 7 9 2 9 Solve v – 2 = v + 8. v = 18

Exercise 1 5 2 3 Solve 4( y – 1) = y + 17. y = 315 2