Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

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Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6

Transcript of Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

Page 1: Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

Warm up

Simplify:-(2x + 3) + 4(x + 2)

A – 2 – ( 3 + a)

Solve:

13m – 22 = 9m -6

Page 2: Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

Ch. 3.3 (continued)An equation with all real numbers as a solutionSolve:

6x + 2 = 2(3x + 1)

6x + 2 = 6x + 1

Notice that for all values of x, the statement 6x + 2 = 6x + 2 is true. The equation has every number as a solution.

Example 2

7(2p + 1) = 14p + 714p + 7 = 14p + 7 All real numbers

ANSWER:All real numbers

Page 3: Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

Ch. 3.3 (continued)An equation with no solutionSolve:

5(2x + 1) = 10x

10x + 5 = 10x -10x -10x 5 = 0

The statement 5 = 0 is not true, so the equation has no solution.

Example 2:

25t = 5(5t + 1) 25t = 25t + 5 -25t -25t NO SOLUTION

0 = 5

Page 4: Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

Practice!

Solve the equation but remember, it may have a solution, no solution, or all real numbers!

3x + 6 = 3(2 + x)

Page 5: Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

Practice!

Solve the equation but remember, it may have a solution, no solution, or all real numbers!

-24s – 53 = 39 – s

Page 6: Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

Practice!

Solve the equation but remember, it may have a solution, no solution, or all real numbers!

16s = 4(4s – 3)

Page 7: Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

Practice!

Solve the equation but remember, it may have a solution, no solution, or all real numbers!

36x + 6 = 6(6x + 1)

Page 8: Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.

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