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Forming and Solving Linear Inequalities WORKSHEET
Suitable for Grades: 7th Grade, Algebra I
CCSS: 7.EE.B.4.B, HSA.REI.B.3
CCSS Description: 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.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Forming and Solving Linear Inequalities WORKSHEET DESCRIPTION
Learners are required to form and solve 12 inequalities across various scenarios throughout this worksheet.
The problems in Section A require students to form and solve linear inequalities from various geometric contexts, including the perimeter of a rectangle, the angles in a diagram, and the perimeter of a triangle and a pentagon.
Section B presents a series of word problems where students must form and solve inequalities to find a range of possible values.
Finally, Section C includes more complex word problems, such as determining the maximum age or number of items, where students must use inequalities to find a solution.
The problems in Section A require students to form and solve linear inequalities from various geometric contexts, including the perimeter of a rectangle, the angles in a diagram, and the perimeter of a triangle and a pentagon.
Section B presents a series of word problems where students must form and solve inequalities to find a range of possible values.
Finally, Section C includes more complex word problems, such as determining the maximum age or number of items, where students must use inequalities to find a solution.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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This forming and solving linear inequalities worksheet is designed for students in 7th Grade and Algebra I and aligns with Common Core State Standards.