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Linear Inequalities

7th Grade

Alabama Course of Study Standards: 9b

Solve word problems leading to inequalities of the form 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.

Arkansas Academic Standards: 7.EE.B.4.B

  • Solve word problems leading to inequalities of the form 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 (e.g., 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.)

Arizona - K-12 Academic Standards: 7.EE.B.4b

Solve word problems leading to inequalities of the form 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.

Common Core State Standards: Math.7.EE.4b or 7.EE.B.4.B

Kentucky Academic Standards (KAS): 7.EE.4.b

Mississippi College- and Career-Readiness Standards: 7.EE.4b

Solve word problems leading to inequalities of the form 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.

Georgia Standards of Excellence (GSE): 7.PAR.3.2

Construct algebraic inequalities to solve 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 and interpret the solution based on the realistic situation that the inequalities represent.

North Carolina - Standard Course of Study: 7.EE.4.b

Construct inequalities to solve problems by reasoning about the quantities.
  • Fluently solve multi-step inequalities with the variable on one side, including those generated by word problems.
  • Compare an algebraic solution process for equations and an algebraic solution process for inequalities.
  • Graph the solution set of the inequality and interpret in context.

New York State Next Generation Learning Standards: 7.EE.4.b

Solve word problems leading to inequalities of the form 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.
e.g., 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.
Note: The words leading to in the standard may require students to simplify or combine like terms on the same side of the equation before it is in the form stated in the standard.

Tennessee Academic Standards: 7.EE.B.4.b

Solve contextual problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality on a number line 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. (Note that inequalities using >, <, =, = are included in this standard).

Wisconsin Academic Standards: 7.EE.B.4.b

Solve word problems leading to inequalities of the form 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.

Pennsylvania Core Standards: CC.2.2.7.B.3

Model and solve real-world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations.

Pennsylvania Core Standards: M07.B-E.2.2.2

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers, and graph the solution set of the inequality.

Pennsylvania Core Standards: M07.B-E.2.3.1

Determine the reasonableness of answer(s) or interpret the solution(s) in the context of the problem.

Florida - Benchmarks for Excellent Student Thinking: MA.7.AR.2.1

Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically.

Georgia Standards of Excellence (GSE): 7.PAR.3.2

Construct algebraic inequalities to solve 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 and interpret the solution based on the realistic situation that the inequalities represent.

7th Grade Math - Linear Inequalities Lesson
 
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