**Louisiana Academic Education Standards**. Algebraic inequalities are mathematical equations that compare two quantities using these criteria: greater than, less than, less than or equal to, greater than or equal to. The only rule of inequalities that must be remembered is that when a variable is multiplied or divided by a negative number the sign is reversed. Read More...

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Algebraic Inequalities

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Worksheet/Answer keyAlgebraic Inequalities

LA.7.EE. Expressions and Equations

7.EE.A. Use properties of operations to generate equivalent expressions.

7.EE.A.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients to include multiple grouping symbols (e.g., parentheses, brackets, and braces).

7.EE.B. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

7.EE.B.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

7.EE.B.4.b. Solve word problems leading to inequalities of the form px + q > r, px + q ≥ r, px + q < r or px + q ≤ r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

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