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Andhra Pradesh SSC (Class 10) Algebra: Equations, Inequations & Matrices — practice questions

Explore 40 free Algebra: Equations, Inequations & Matrices questions in Andhra Pradesh SSC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: Equations, Inequations & Matrices questions and exercises with answers

Showing questions 1–30 of 40.

A linear inequation in one variable can be written asRead the answer and worked solution →Which of the following is an inequation?Read the answer and worked solution →Solving an inequation means findingRead the answer and worked solution →When both sides of an inequation are multiplied by a negative number,Read the answer and worked solution →Solve x + 3 > 5, then x belongs toRead the answer and worked solution →Solve 2 x - 1 < 5, then x belongs toRead the answer and worked solution →Solve -3 x < 9, then x belongs toRead the answer and worked solution →Solve 5 (x - 2) >= 15, then x belongs toRead the answer and worked solution →The smallest natural number that satisfies x > 4 isRead the answer and worked solution →The largest integer that satisfies x <= 7 isRead the answer and worked solution →Solve 3 (x + 1) - 2 (x - 1) > 7. Then x belongs toRead the answer and worked solution →Solve (x - 1)/2 + 3 < 6. Then x belongs toRead the answer and worked solution →Solve the double inequation 2 < x + 1 <= 5. Then x belongs toRead the answer and worked solution →Solve -4 < 2 - x <= 1 over integers.Read the answer and worked solution →Solve (2 x - 5) / 3 >= 1 over integers.Read the answer and worked solution →The solution of 5 - 2 x > 1 isRead the answer and worked solution →The largest integer x satisfying 3 x - 4 < 2 x + 5 isRead the answer and worked solution →Solve (x + 2)/3 - (x - 1)/2 <= 1. Then x belongs toRead the answer and worked solution →Solve 2 x + 5 > 11, then x belongs toRead the answer and worked solution →Solve -2 (x - 3) <= 4. Then x belongs toRead the answer and worked solution →The largest integer that satisfies x <= 7 isRead the answer and worked solution →Which of the following is an inequation?Read the answer and worked solution →Solving an inequation means findingRead the answer and worked solution →When both sides of an inequation are multiplied by a negative number,Read the answer and worked solution →Solve 2 x - 1 < 5, then x belongs toRead the answer and worked solution →Solve -3 x < 9, then x belongs toRead the answer and worked solution →Solve 3 (x + 1) - 2 (x - 1) > 7. Then x belongs toRead the answer and worked solution →Solve (x - 1)/2 + 3 < 6. Then x belongs toRead the answer and worked solution →Solve the double inequation 2 < x + 1 <= 5. Then x belongs toRead the answer and worked solution →Solve -4 < 2 - x <= 1 over integers.Read the answer and worked solution →

Worked practice questions

A linear inequation in one variable can be written as

  1. a x + b > c with a, b, c real numbers
  2. a x^2 + b x + c = 0 with a not zero
  3. a x + b = c with strict equality only
  4. a x + b y > c with two variables only
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Correct answer: A. a x + b > c with a, b, c real numbers

1. Section 4.2 lists the standard forms. 2. It uses the variable x to the first power only. 3. Inequality signs >, <, >= or <= appear instead of =. 4. So option A is correct. _Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section 4.2_

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Which of the following is an inequation?

  1. x = 8 only
  2. x > 8
  3. 8 + 3 = 11 only
  4. x equals 8 only
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Correct answer: B. x > 8

1. Section 4.1 defines an inequation. 2. It uses one of the signs >, <, >=, <=. 3. x > 8 fits this form. 4. The others use strict equality. _Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section 4.1_

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Solving an inequation means finding

  1. The squared value of the variable in the inequation
  2. A single value at which both sides become equal
  3. The set of all values of the variable that satisfy it
  4. Two distinct values of the variable in the inequation
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Correct answer: C. The set of all values of the variable that satisfy it

1. The chapter contrasts solving an equation with solving an inequation. 2. An inequation usually has a whole range (set) of solutions. 3. The solution set is the set of all values that satisfy it. 4. So option A is correct. _Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on solution set_

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More Mathematics topics

Mensuration: Surface Areas & VolumesReal Numbers and PolynomialsStatistics and ProbabilityArithmetic ProgressionQuadratic EquationsIntroduction to TrigonometryAlgebra: Simultaneous Linear Equations & QuadraticsTriangles and Circles