Find here step by step NCERT Solutions Exercise 11.3 Class 6 Maths Chapter 11 Algebra. NCERT Solutions Exercise 11.3 Class 6 Maths deals with Expressions with Variables.

**Prerequisite / Revise this:**

## NCERT Solutions Exercise 11.3 Class 6 Maths – Expressions

• A **variable** allows us to express relations in any practical situation. Variables are numbers, although their value is not fixed.

• We can do the **operations** of addition, subtraction, multiplication and division on them just as in the case of fixed numbers.

• Using different operations we can form **Expressions With Variables **like x + 2, x – 2, 3m, 5n, 7q, 3z + 9 etc.

## EXERCISE 11.3

Expressions with Variables

**QUESTION 1**

Make up as many expressions with numbers (no variables) as you can from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.

(Hint : Three possible expressions are 5 + (8 – 7), 5 – (8 – 7), (5 × 8) + 7; make the other expressions.)

**ANSWER**

Some expressions with numbers 5, 7 and 8 are:

5 + (8 × 7), 7 – (5 + 8),

7 × 8 × 5, 8 + (5 + 7),

(8 – 5) × 7, 5 × 7 – 8 etc.

**QUESTION 2**

Which out of the following are expressions with numbers only?

**(a)** *y* + 3 **(b)** (7 × 20) – 8*z*

**(c)** 5 (21 – 7) + 7 × 2 **(d)** 5

**(e)** 3*x* **(f)** 5 – 5*n*

**(g)** (7 × 20) – (5 × 10) – 45 + *p*

**ANSWER**

(c) and (d) among the given expressions are with numbers only.

**QUESTION 3**

Identify the operations (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed.

(a) z + 1, z – 1, y + 17, y – 17

(b) 17y, y17 , 5 z

(c) 2y + 17, 2 y – 17

(d) 7 m, – 7 m + 3, – 7 m – 3

**ANSWER**

Expression | Operation | Formation | |

(a) | z + 1 | Addition | 1 is added to z |

z – 1 | Subtraction | 1 is subtracted from z | |

y + 17 | Addition | 17 is added to y | |

y – 17 | Subtraction | 17 is subtracted from y | |

(b) | 17y | Multiplication | 17 times y |

y17 | Multiplication | y times 17 | |

5z | Multiplication | 5 times z | |

(c) | 2y + 17 | Addition | 17 is added to 2 times y |

2y – 17 | Subtraction | 17 is subtracted from 2 times y | |

(d) | 7m | Multiplication | 7 times m |

– 7m + 3 | Addition | 3 is added to -7 times m | |

– 7m – 3 | Subtraction | 3 is subtracted from -7 times m |

**QUESTION 4**

Give expressions for the following cases.

(a) 7 added to p

(b) 7 subtracted from p

(c) p multiplied by 7

(d) p divided by 7

(e) 7 subtracted from –m

(f) –p multiplied by 5

(g) –p divided by 5

(h) p multiplied by –5

**ANSWER**

(a) p + 7

(b) p – 7

(c) p × 7

(d) p ÷ 7

(e) –m – 7

(f) –p × 5

(g) –p ÷ 5

(h) p × (–5)

**QUESTION 5**

Give expressions in the following cases.

(a) 11 added to 2m

(b) 11 subtracted from 2m

(c) 5 times y to which 3 is added

(d) 5 times y from which 3 is subtracted

(e) y is multiplied by – 8

(f) y is multiplied by – 8 and then 5 is added to the result

(g) y is multiplied by 5 and the result is subtracted from 16

(h) y is multiplied by – 5 and the result is added to 16.

**ANSWER**

(a) 11 added to 2m + 11

(b) 11 subtracted from 2m – 11

(c) 5y + 3

(d) 5y – 3

(e) y(-8)

(f) –8y + 5 is added to the result

(g) 16 – 5y

(h) -5y + 16

**QUESTION 6**

(a) Form expressions using t and 4. Use not more than one number operation. Every expression must have t in it.

(b) Form expressions using y, 2 and 7. Every expression must have y in it. Use only two number operations. These should be different.

**ANSWER**

(a) t + 4, 4t, t – 4, 4 – t, ,

(b) 7 + 2y , 7 – 2y, 2y + 7, 2y – 7 etc

## NCERT SOLUTIONS FOR CLASS 6 MATHS – CHAPTER 11 ALGEBRS

Check NCERT Solutions of other exercises from Class 6 Maths Chapter 11 Algebraic Expressions by clicking the links given below.

• Exercise 11.1

• Exercise 11.2

• Exercise 11.3

• Exercise 11.4

• Exercise 11.5

We hope Ncert Solutions Exercise 11.3 Class 6 Maths has helped you understand how to construct Expressions With Variables.

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