Standard 4.0: Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.

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Presentation transcript:

Standard 4.0: Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12

These problems will involve solving equations and inequalities. For equalities, you are solving for the unknown variable. For inequalities, you are once again getting the variable by itself, remembering to flip the inequality sign when multiplying both sides by a negative.

10

Keep it POSITIVE!!! Move the smaller variable.

Keep it POSITIVE!!! Move the smaller variable. 24

Inequalities Graphing Inequalities 2

Solve and graph these linear inequalities. SIGN FLIP 2 -9

13 9

Plot the numbers on number line. If the ‘x’ is in the middle, shade in between, watch out for open\closed circle. -4 10

Solve, for and problems, you got to work on ALL PARTS!!! Plot the numbers on number line. If the ‘x’ is in the middle, shade in between, watch out for open\closed circle. 2 Note, if your inequalities are not in the same direction, you messed up. mess

DIVIDE BY NEGATIVE, DOUBLE SIGN FLIP!!! Solve, for and problems, you got to work on ALL PARTS!!! Plot the numbers on number line. If the ‘x’ is in the middle, shade in between, watch out for open\closed circle. -4 -7

DIVIDE BY NEGATIVE, DOUBLE SIGN FLIP!!! OR -1 9 DIVIDE BY NEGATIVE, DOUBLE SIGN FLIP!!! Solve, for OR problems, do each part separately. Don’t combine them. Plot the numbers on number line. Graph both on the same number line.

Try the following problems and click to reveal the answers.

Try the following problems and click to reveal the answers. Solve and graph Try the following problems and click to reveal the answers. -2 1

SOLVE, and then graph it. -7 -1 1 4

Related book problems Pg 390: 20-31; 59-67

Useful websites Equations  http://www.math.com/school/subject2/lessons/S2U3L1GL.html Inequalities  http://www.math.com/school/subject2/lessons/S2U3L4GL.html