# Grade 7 the Multiplication of Expression and an Introduction to Identities Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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## (1) Write in How Many Terms Each Simplified Algebraic Expression Has. Then Tick ‘M’ if the Expression is a Monomial, ‘B’ if It is a Binomial and ‘T’ if It is a Trinomial

Expression | Number of terms after simplification | Monomial/Binomial/Trinomial | |

(a) | |||

(b) | |||

(c) | |||

(d) |

## (2) Multiply

(a)

(b)

(C)

(d)

## (3) Multiply

(a)

(b)

(C)

(d)

## (4) Multiply the Binomials Given

(a)

(b)

## (5) Multiply the Binomials Given

(a)

(b)

## (6) Write in the Missing Powers, Coefficient, or Terms

(a)

(b)

## (7) Write in the Missing Powers, Coefficient, or Terms

(a)

(b)

## (8) Use the Identities (A – B) ^{2} = a^{2} – 2ab + B^{2} or (A + B) ^{2} = a^{2} + 2ab + B^{2} to Expand Each of These Expressions

(a)

(b)

(c)

## (9) Use the Identities (A – B) ^{2} = a^{2} – 2ab + B^{2} or (A + B) ^{2} = a^{2} + 2ab + B^{2} to Rewrite Each Algebraic Expression as the Square of a Binomial

(a)

(b)

## (10) Use the Identities (A – B) ^{2} = a^{2} – 2ab + B^{2} or (A + B) ^{2} = a^{2} + 2ab + B^{2} to Rewrite Each Algebraic Expression as the Square of a Binomial

(a)

(b)

## (11) Use the Identity (A + B) (A – B) = a^{2} – B^{2} to Match the Expressions in Column a to the Expressions in Column B

Column-A | Column-B | |

(a) | ( | |

(b) | ||

(c) |

## (12) Use the Identity (X + A) (X + B) = x2 + X (A + B) + Ab to Multiply These Binomials

(a)

(b)

## (13) Use an Identity to Answer These Questions

(a)

(b)

## (14) Use an Identity to Answer These Questions

(a)

(b)

## Answers and Explanations

### Answer 1 (A)

- Given expression:

- So, Simplest form of given expression
- There are two number of terms in given algebraic expression as shown below.

- Therefore this algebraic expression is Binomial.

Expression | Number of terms after simplification | Monomial/Binomial/Trinomial | |

(a) |

### Answer 1 (B)

- Given expression:

- So, Simplest form of given expression
- There are two number of terms in given algebraic expression as shown below.

- Therefore this algebraic expression is Binomial.

Expression | Number of terms after simplification | Monomial/Binomial/Trinomial | |

(b) |

### Answer 1 (C)

- Given expression:

- So, Simplest form of given expression
- There are three number of terms in given algebraic expression as shown below.

- Therefore this algebraic expression is Trinomial.

Expression | Number of terms after simplification | Monomial/Binomial/Trinomial | |

(C) |

### Answer 1 (D)

- Given expression:

- So, Simplest form of given expression
- There are three number of terms in given algebraic expression as shown below.

- Therefore this algebraic expression is Trinomial.

Expression | Number of terms after simplification | Monomial/Binomial/Trinomial | |

(d) |

### Answer 2 (A)

- Given expression:

- Therefore;

### Answer 2 (B)

- Given expression:

- Therefore;

### Answer 2 (C)

- Given expression:

- Therefore;

### Answer 2 (D)

- Given expression:

- Therefore

### Answer 3 (A)

- Given expression:

- Therefore

### Answer 3 (B)

- Given expression:

- Therefore

### Answer 3 (C)

- Given expression:

- Therefore

### Answer 3 (D)

- Given expression:

- Therefore

### Answer 4 (A)

- Given binomial expression:

- Therefore;

### Answer 4 (B)

- Given binomial expression:

- Therefore;

### Answer 5 (A)

Given binomial expression:

- Therefore;

### Answer 5 (B)

Given binomial expression:

- Therefore;

### Answer 6 (A)

- Given that:

- So,

- Now,

- So,

### Answer 6 (B)

- Given that:

- So,

- Now,

- So,

### Answer 7 (A)

- Given that:

- So,

- Now,

- So,

### Answer 7 (B)

- Given that:

- So,

- Now,

- Therefore;

### Answer 8 (A)

- Given that:

- We know identities that

- Compare this identities with given expression; so we have

- Now, as per the identities

- Therefore;

### Answer 8 (B)

- Given that:

- We know identities that

- Compare this identities with given expression; so we have

- Now, as per the identities

- Therefore;

### Answer 8 (C)

- Given that:

- We know identities that

- Compare this identities with given expression; so we have

- Now, as per the identities

- Therefore;

### Answer 9 (A)

- Given that:

- We know identities that

- Compare this identities with given expression; so we have

- Now,

- Therefore, the answer is

### Answer 9 (B)

- Given that:

- We know identities that

- Compare this identities with given expression; so we have

- Now,

- Therefore

### Answer 10 (A)

- Given that:

- We know identities that

- Compare this identities with given expression; so we have

- Now,

- Therefore

### Answer 10 (B)

- Given that:

- We know identities that

- Compare this identities with given expression; so we have

- Now,

- Therefore

### Answer (11)

- Identity says that

- Now for (a) :
- Compare this with identities,

- Now,

- For (b) :
- Compare this with identities,

- Now,

- For (c) :
- Compare this with identities,

- Now,

- Therefore;

### Answer 12 (A)

- Given expression:

- Compare this expression with identities

- So,

- So,

- Now using identities;

### Answer 12 (B)

- Given expression:

- Compare this expression with identities

- So,

- So,

- Now using identities;

### Answer 13 (A)

- Given that:

- Compare this expression with identities
- Therefore

- So,

- Now,

- Therefore;

### Answer 13 (B)

- Given that:

- Compare this expression with identities
- Therefore

- So,

- Now,

- Therefore;

### Answer 14 (A)

- Given that:

- Compare this expression with identities:

- Therefore,

- So,

- Now,

- Therefore;

### Answer 14 (B)

- Given that:

- Compare this expression with identities:

- Therefore,

- So,

- Now,

- Therefore;