Inequalities
Inequalities, the basics
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1) Practice: http://www.ixl.com/math/grade-6/inequalities-on-number-lines
2) Short explanation and practice (scroll down to the bottom for the practice questions): http://www.mathsisfun.com/equal-less-greater.html
3) Explanation and practice: http://www.math.com/school/subject2/lessons/S2U3L4GL.html
4) Graphing inequalities on a number line: http://www.studyzone.org/mtestprep/math8/a/graphing_inequalities7l.cfm
2) Short explanation and practice (scroll down to the bottom for the practice questions): http://www.mathsisfun.com/equal-less-greater.html
3) Explanation and practice: http://www.math.com/school/subject2/lessons/S2U3L4GL.html
4) Graphing inequalities on a number line: http://www.studyzone.org/mtestprep/math8/a/graphing_inequalities7l.cfm
Compound Inequalities
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1) VIDEO: http://www.virtualnerd.com/algebra-2/equations-inequalities/linear-inequalities/compound/compound-and-word-problem-solution
2) Explanation: http://www.regentsprep.org/regents/math/algebra/ae8/compoundlinequal.htm
3) Explanation and video: http://www.mathplanet.com/education/algebra-1/linear-inequalitites/solving-compound-inequalities
4) Concept video & 3 examples (each with a video explanation): http://www.brightstorm.com/math/algebra/solving-and-graphing-inequalities/solving-and-graphing-compound-inequalities/
5) PRACTICE: http://www.ixl.com/math/algebra-1/graph-compound-inequalities and http://www.ixl.com/math/algebra-1/solve-compound-inequalities
2) Explanation: http://www.regentsprep.org/regents/math/algebra/ae8/compoundlinequal.htm
3) Explanation and video: http://www.mathplanet.com/education/algebra-1/linear-inequalitites/solving-compound-inequalities
4) Concept video & 3 examples (each with a video explanation): http://www.brightstorm.com/math/algebra/solving-and-graphing-inequalities/solving-and-graphing-compound-inequalities/
5) PRACTICE: http://www.ixl.com/math/algebra-1/graph-compound-inequalities and http://www.ixl.com/math/algebra-1/solve-compound-inequalities
Graphing Linear Inequalities
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About graphing inequalities, it’s not that much
different than graphing equations…
1) Graph the line like you would if it were an equation.
2) Decide if it is dashed (> or <) or solid (I can’t make the symbols for “greater than or equal” or “less than or equal”.
3) Determine whether to color above or below the line? How?? Pick a point on the graph (I like to use (0,0), plug that back into your original inequality. If you get a true statement, color in that side of the line. Try test points until you find one that gives you a true statement.
1) Textbook style explanation: http://www.purplemath.com/modules/ineqgrph.htm
2) Video & Practice (with hints): https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/e/graphing_inequalities
3) Good, short, explanation & optional video: http://www.mathplanet.com/education/pre-algebra/graphing-and-functions/graphing-linear-inequalities
4) Basic explanation: http://www.mathsisfun.com/algebra/graphing-linear-inequalities.html
5) Practice: http://www.ixl.com/math/algebra-1/graph-a-linear-inequality-in-two-variables
1) Graph the line like you would if it were an equation.
2) Decide if it is dashed (> or <) or solid (I can’t make the symbols for “greater than or equal” or “less than or equal”.
3) Determine whether to color above or below the line? How?? Pick a point on the graph (I like to use (0,0), plug that back into your original inequality. If you get a true statement, color in that side of the line. Try test points until you find one that gives you a true statement.
1) Textbook style explanation: http://www.purplemath.com/modules/ineqgrph.htm
2) Video & Practice (with hints): https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/e/graphing_inequalities
3) Good, short, explanation & optional video: http://www.mathplanet.com/education/pre-algebra/graphing-and-functions/graphing-linear-inequalities
4) Basic explanation: http://www.mathsisfun.com/algebra/graphing-linear-inequalities.html
5) Practice: http://www.ixl.com/math/algebra-1/graph-a-linear-inequality-in-two-variables
Solving Inequalities
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1) Explanation and practice: http://www.mathsisfun.com/algebra/inequality-solving.html
2) Video: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/solving-inequalities
3) PRACTICE: http://www.regentsprep.org/regents/math/algebra/ae8/PSolvIn.htm
4) Practice (easy): http://www.ixl.com/math/grade-8/solve-one-step-linear-inequalities
5) Practice (medium difficulty): http://www.ixl.com/math/grade-8/solve-advanced-linear-inequalities
6) Practice (medium difficulty): http://ca.ixl.com/math/grade-9/solve-two-step-linear-inequalities
2) Video: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/solving-inequalities
3) PRACTICE: http://www.regentsprep.org/regents/math/algebra/ae8/PSolvIn.htm
4) Practice (easy): http://www.ixl.com/math/grade-8/solve-one-step-linear-inequalities
5) Practice (medium difficulty): http://www.ixl.com/math/grade-8/solve-advanced-linear-inequalities
6) Practice (medium difficulty): http://ca.ixl.com/math/grade-9/solve-two-step-linear-inequalities
Systems of Linear Inequalities
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1) Textbook style: http://www.purplemath.com/modules/syslneq.htm
2) Video: https://www.khanacademy.org/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/v/graphing-systems-of-inequalities-2
3) Practice: https://www.khanacademy.org/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/e/graphing_systems_of_inequalities_2
2) Video: https://www.khanacademy.org/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/v/graphing-systems-of-inequalities-2
3) Practice: https://www.khanacademy.org/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/e/graphing_systems_of_inequalities_2