Grade 7 One Variable Linear Equation and In-Equations Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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(1) in Each Question, Write in the Missing Statement or Equation

(a)

(b)

(2) Solve Each Equation. Then Represent the Solution on the Number Line

(a)

(b)

(3) Represent Each In-Equation on the Number Line

(a)

(b)

(4) Solve Each In-Equation

(a)

(b)

(5) Solve the In-Equation. Then Represent the Solution Set on the Number Line

(a)

Answers and Explanations

Answer 1 (A)

  • Given that twenty three times a number added by 540 equals 680
  • To find out equation will go step by step
  • Twenty three times a number (Suppose number “x” )
  • Added by 540
  • Equals 540
  • So, Missing equation:

Answer 1 (B)

  • Given that:
  • To find out statement will go step by step:
  • four hundred fifty times a number
  • Divided by thirty four.
  • Equals to fifty six.
  • So, missing statement is:

Answer 2 (A)

  • Given equation:

  • Now taking variable one side and other constant o another side,

  • Representation of variable on number line is as below;
Illustration 2 for Answers_and_Explanations

Answer 2 (B)

  • Given equation:

  • Representation of variable on number line is as below;
Illustration 3 for Answers_and_Explanations

Answer 3 (A)

  • Given in-equation:
  • R means set of real number means the number that actually exit
Illustration 4 for Answers_and_Explanations

Answer 3 (B)

  • Given in-equation:
  • Where set of value of x belongs to
  • Now given that value of variable is more than 2
  • Therefore set of value of
  • Representation on number line as below;
Illustration 5 for Answers_and_Explanations

Answer 4 (A)

  • Given in-equation:

Answer 4 (B)

  • Given in-equation:

Answer (5)

  • Given in-equation:

  • Representation on number line as below;
Illustration 6 for Answers_and_Explanations

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