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Andhra Pradesh SSC (Class 10) Linear Equations in Two Variables — practice questions — page 2

Explore 51 free Linear Equations in Two Variables 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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Linear Equations in Two Variables questions and exercises with answers

Showing questions 31–51 of 51.

CLASS10 · Mathematics · Linear Equations — ConsistencyRead the answer and worked solution →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 →

Worked practice questions

CLASS10 · Mathematics · Linear Equations — Consistency

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Items
  1. Item
    Lines intersect at exactly one point
    Answer
    left
  2. Item
    Parallel lines
    Answer
    right
  3. Item
    a₁/a₂ ≠ b₁/b₂
    Answer
    left
  4. Item
    a₁/a₂ = b₁/b₂ ≠ c₁/c₂
    Answer
    right
  5. Item
    Unique x, y satisfy both equations
    Answer
    left
  6. Item
    Graphs never meet
    Answer
    right
Categories
Left
Consistent (one solution)
Right
Inconsistent (no solution)
Instructions
Classify each scenario: consistent or inconsistent system?

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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
Show answer and solution

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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