Warm up Simplify: -(2x + 3) + 4(x + 2) A – 2 – ( 3 + a) Solve: 13m – 22 = 9m -6.
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Transcript of 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
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
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
Practice!
Solve the equation but remember, it may have a solution, no solution, or all real numbers!
3x + 6 = 3(2 + x)
Practice!
Solve the equation but remember, it may have a solution, no solution, or all real numbers!
-24s – 53 = 39 – s
Practice!
Solve the equation but remember, it may have a solution, no solution, or all real numbers!
16s = 4(4s – 3)
Practice!
Solve the equation but remember, it may have a solution, no solution, or all real numbers!
36x + 6 = 6(6x + 1)
Homework Page 137 #’s 1-17 all