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 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 CareerReadiness 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 multistep 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 realworld and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations. 
Pennsylvania Core Standards:
M07.BE.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.BE.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 onestep 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. 
