Class 9 Math Chapter 7 Question Answer

Handwritten and composed notes Class 9 Math Chapter 7 Question Answer Linear Equations and Inequalities of Chapter No.7: Linear Equations and Inequalities notes written by Professor Asad Khalid Suib. These notes are very helpful in the preparation of Linear Equations and Inequalities for the students of Mathematics Science group of the (9 class) Matriculation and these are according to the paper patterns of all Punjab boards.

Summary and Contents:
Topics which are discussed in the notes are given below:
  • Important notes of Class 9 Math Chapter 7 Question Answer for Matriculation part-I students.
  • Complete Multiple Choice Questions (MCQs) of Chapter No.7: Linear Equations and Inequalities 9th class Mathematics Science group in English medium.
  • Complete Chapter exercise wise solved questions of Chapter No.7: Linear Equations and Inequalities 9th class Mathematics Science group in English medium.
  • Complete chapter review exercise questions of Chapter No.7: Linear Equations and Inequalities 9th class Mathematics Science group in English medium.
  • Important definitions asking in board question papers of Chapter No.7: Linear Equations and Inequalities 9th class Mathematics Science group in English medium.
  • Here are the detailed 9th class math chapter 7 question answer pdf to help you prepare for your exams.
  • Recall linear equation in one variable.
  • Solve linear equation with rational coefficients.
  • Reduce equations, involving radicals, to simple linear form and find their solutions.
  • Define absolute value.
  • Solve the equation, involving absolute value, in one variable.
  • Define inequalities ( >, <) and ( > , <)
  • Recognize properties of inequalities (i.e., trichotomy, transitive, additive and multiplicative).
  • Solve linear inequalities with rational coefficients.
  • Introduction: In this unit we will extend the study of previously learned skills to the solution of equations with rational coefficients of Unit 2 and the equations involving radicals and absolute value. Finally, after defining inequalities, and recalling their trichotomy, transitive, additive and multiplicative properties we will use them to solve linear inequalities with rational coefficients.
  • Linear Equations: A linear equation in one unknown variable x is an e the form,   ax + b = 0, where a, b, E R and a ≠ 0
  • A solution to a linear equation is any replacement or substitution for the variable x that makes the statement true. Two linear equations are said to be equivalent if they have exactly, the same solution.
  • You can also download the 9th class math chapter 7 question answer pdf download for free.
  • Solving a Linear Equation in One Variable: The process of solving an equation involves finding a sequence of equivalent equations until the variable x is isolated on one side of the equation to give the solution.
  • Technique for Solving: The procedure for solving linear equations in one varia summarized in the following box.
  • If fractions are present, we multiply each side by the L.C.M. of the denominators to eliminate them.
  • To remove parentheses we use the distributive property.
  • Combine Alike terms, if any, on both sides.
  • Use the addition property of equality (add or subtract) to get all the variables on left side and constants on the other side.
  • Use the multiplicative property of equality to isolate the variable.
  • Verify the answer by replacing the variable in the original equation.
  • Equations Involving Radicals but Reducible to Linear Form:
  • Redical Equation: When the variable in an equation occurs under a radical equation is called a radical equation. The procedure to solve a radical equation is to eliminate the radical by raising each side to a power equal to the index of the radical. When raising each side of the equation to a certain power the produce a nonequivalent equation that has more solutions than the original equation. These additional solutions are called extraneous solutions. We must check our answer(s) for such solutions when working with radical equations.
  • An important point to be noted is that raising each side to an odd power will always give an equivalent equation; whereas raising each side to an even power might not do so.

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