Start learning →

UP Board Class 10 Sets and Relations — practice questions

Explore 16 free Sets and Relations questions in UP Board Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Sets and Relations with Quill →

Sets and Relations questions and exercises with answers

Showing questions 1–16 of 16.

Which of the following is a linear equation in one variable?Read the answer and worked solution →Solve for x: 3x = 2x + 18Read the answer and worked solution →Solve for t: 5t − 3 = 3t − 5Read the answer and worked solution →Solve for x: 5x + 9 = 5 + 3xRead the answer and worked solution →If 4z + 3 = 6 + 2z, what is the value of z?Read the answer and worked solution →Solve for x: 8x + 4 = 3(x − 1) + 7Read the answer and worked solution →Solve for x: x = (4/5)(x + 10)Read the answer and worked solution →Solve for x: (2x/3) + 1 = (7x/15) + 3Read the answer and worked solution →Solve for y: 2y + 5/3 = 26/3 − yRead the answer and worked solution →Solve for x: (x − 5)/3 = (x − 3)/5Read the answer and worked solution →CLASS8 · Mathematics · Linear Equation Gap FillRead the answer and worked solution →Which of the following is a linear equation in one variable?Read the answer and worked solution →Solve for t: 5t − 3 = 3t − 5Read the answer and worked solution →Solve for y: 2y + 5/3 = 26/3 − yRead the answer and worked solution →Solve for x: x = (4/5)(x + 10)Read the answer and worked solution →Solve for x: (x − 5)/3 = (x − 3)/5Read the answer and worked solution →

Worked practice questions

Which of the following is a linear equation in one variable?

  1. x² + 1 = 0
  2. 2x + y = 5
  3. 5x − 3 = 7
  4. xy = 10
Show answer and solution

Correct answer: C. 5x − 3 = 7

A linear equation in one variable has exactly one variable and the highest power of that variable is 1. Only 5x − 3 = 7 satisfies both conditions.

Open this question →

Solve for x: 3x = 2x + 18

  1. x = 6
  2. x = 9
  3. x = 18
  4. x = 36
Show answer and solution

Correct answer: C. x = 18

Subtract 2x from both sides: 3x − 2x = 18, so x = 18.

Open this question →

Solve for t: 5t − 3 = 3t − 5

  1. t = −1
  2. t = 1
  3. t = −4
  4. t = 4
Show answer and solution

Correct answer: A. t = −1

Transpose 3t to the left and −3 to the right: 5t − 3t = −5 + 3, so 2t = −2 and t = −1.

Open this question →

How to practise

  1. Choose a Sets and Relations question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Sets and Relations practice for UP Board Class 10. Read explanations as you go. No signup form needed to start.

Practise Sets and Relations →

More Mathematics topics

Arithmetic ProgressionReal Numbers and PolynomialsStatistics and ProbabilityMensuration: Surface Areas & VolumesIntroduction to TrigonometryAlgebra: Simultaneous Linear Equations & QuadraticsTriangles and CirclesCoordinate Geometry