Write an inequality from a word problem

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Write an inequality from a word problem

In this lesson you will learn to create an inequality given a word problem by using algebraic reasoning.

ADDITIONAL MATERIALS

STANDARDS

CCSS.7.EE.B.4.b Solve word problems leading to inequalities of the form 𝘱𝘹 + 𝘲 [greater than] 𝘳 or 𝘱𝘹 + 𝘲 [less than] 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.

TEKS.7.10.C write a corresponding real-world problem given a one-variable, two-step equation or inequality.

TEKS.6.9.B represent solutions for one-variable, one-step equations and inequalities on number lines; and

TEKS.A1.5.B solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides; and

TEKS.7.10.A write one-variable, two-step equations and inequalities to represent constraints or conditions within problems;

TEKS.6.9.A write one-variable, one-step equations and inequalities to represent constraints or conditions within problems;

TEKS.7.11.B determine if the given value(s) make(s) one-variable, two-step equations and inequalities true; and

TEKS.7.10.B represent solutions for one-variable, two-step equations and inequalities on number lines; and

IN.7.AF.3 Solve inequalities of the form px + q ([greater than] or ≥) r or px + q ([less than] or ≤) r, where p, q, and r are specific rational numbers. Represent real-world problems using inequalities of these forms and solve such problems. Graph the solution set of the inequality and interpret it in the context of the problem.

IN.AI.L.2 Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable.

VA.PFA.6.14.b solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.

VA.EI.A.5.c solve practical problems involving inequalities; and

VA.PFA.7.13 The student will solve one- and two-step linear inequalities in one variable, including practical problems, involving addition, subtraction, multiplication, and division, and graph the solution on a number line.

VA.PFA.8.18 The student will solve multistep linear inequalities in one variable with the variable on one or both sides of the inequality symbol, including practical problems, and graph the solution on a number line.

VA.PFA.6.14.a represent a practical situation with a linear inequality in one variable; and