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CBSE Class 10 Linear Equations in Two Variables — practice questions — page 2

Explore 50 free Linear Equations in Two Variables questions in CBSE 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 31–50 of 50.

When variables and numbers appear on both sides, you must simplify:Read the answer and worked solution →Catch the equality rulesRead the answer and worked solution →Pop the solving stepsRead the answer and worked solution →Run the equation gatesRead the answer and worked solution →Slice the algebra wordsRead the answer and worked solution →Undo add or undo timesRead the answer and worked solution →Sort the algebra wordsRead the answer and worked solution →Type the numberRead the answer and worked solution →Equations bingoRead the answer and worked solution →Match each algebraic method of solving linear pairs with its technique:Read the answer and worked solution →Match each linear word problem with its algebraic translation:Read the answer and worked solution →Match each pair of equations with its solution coordinates (x, y):Read the answer and worked solution →The pair of linear equations $3x + 5y = 12$ and $6x + 10y = 24$ represents lines which are:Read the answer and worked solution →If the system of equations $x + 2y = 3$ and $5x + ky + 7 = 0$ has no solution, then the value of $k$ is:Read the answer and worked solution →If $2x + y = 23$ and $4x - y = 19$, what is the value of $(5y - 2x)$?Read the answer and worked solution →The graphical representation of the pair of equations $x = 3$ and $y = -2$ is two straight lines that:Read the answer and worked solution →If $a_1 x + b_1 y + c_1 = 0$ and $a_2 x + b_2 y + c_2 = 0$ have a unique solution, which condition must hold true?Read the answer and worked solution →If the lines given by $3x + 2ky = 2$ and $2x + 5y + 1 = 0$ are parallel, then the value of $k$ is:Read the answer and worked solution →The solution of the pair of linear equations $0.2x + 0.3y = 1.3$ and $0.4x + 0.5y = 2.3$ is:Read the answer and worked solution →A father is three times as old as his son. After five years, his age will be two and a half times that of his son. The present age of the son is:Read the answer and worked solution →

Worked practice questions

When variables and numbers appear on both sides, you must simplify:

  1. Both signs
  2. Both steps
  3. Both sums
  4. Both sides
Show answer and solution

Correct answer: D. Both sides

1. Each side may hold terms to combine. 2. Neither can be left untidy. 3. So you simplify both sides before isolating. _Source: OpenStax Elementary Algebra 2e, Chapter 2, Solving Linear Equations and Inequalities._

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Catch the equality rules

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Items
  1. Matches the category
    Yes
    Item
    Addition
  2. Matches the category
    Yes
    Item
    Subtraction
  3. Matches the category
    Yes
    Item
    Multiplication
  4. Matches the category
    Yes
    Item
    Division
  5. Matches the category
    No
    Item
    Sonata
  6. Matches the category
    No
    Item
    Pigment
  7. Matches the category
    No
    Item
    Trellis
  8. Matches the category
    No
    Item
    Lantern
Category
Algebra
Instructions
Catch the properties of equality. Let the rest fall.
_Source: OpenStax Elementary Algebra 2e, Chapter 2, Solving Linear Equations and Inequalities._

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Pop the solving steps

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Other terms
  1. Sonata
  2. Pigment
  3. Trellis
  4. Lantern
Matching terms
  1. Simplify
  2. Isolate
  3. Check
  4. Substitute
Instructions
Pop the steps used in solving an equation.
_Source: OpenStax Elementary Algebra 2e, Chapter 2, Solving Linear Equations and Inequalities._

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