# Grade 8 Consolidation of the Basic Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

Get unlimited access to the best preparation resource for CBSE/Class-8 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-8.

## (1) Identify the Constants and Variables in Each Expression

Expression | Numerical constant | Variables | |

(a) | |||

(b) |

## (2) Write Out the Coefficients and the Variables of Each Term of the Algebraic Expression

(a)

(b)

## (3) Write in How Many Terms Each Expression Has After Simplification. Tick โMโ if the Expression is a Monomial, โBโ if It is a Binomial and โTโ if It is a Trinomial

Expression | Number of terms after simplification | Monomial/binomial/trinomial | |

(a) | |||

(b) |

## (4) Match Each Polynomial in Column a to Its โTypeโ in Column B

Column-A | Column-B |

(a) | (a) Linear polynomial |

(b) | (b) quadratic polynomial |

(c) | (c) cubic polynomial |

(d) | (d) quartic polynomial |

(e) | |

(f) |

## (5) Answer the Following Questions

(a) Add

(b) Subtract from

(6) is subtract from . The difference is added to the sum of and 3 times write out the resulting algebraic expression.

## (7) Answer the Following Questions

(a)

(b)

(c)

## (8) Answer the Following Questions

(a)

(b)

(c)

## (9) Answer the Following Questions

(a)

(b)

(c)

## (10) Answer the Following Questions

(a)

(b)

## (11) Answer the Following Questions

(a)

(b)

## Answers and Explanations

### Answer 1 (A)

- Expression equation is as below,

- Numerical constant in algebraic expression is a fixed number as its value is fixed.
**Here in given expression numerical constant is**- Variables is a latter that is used in place of a number which value is not fixed and was find out with the help of related expression.
**Here in given expression variables are**

Expression | Numerical constant | Variables | |

(a) |

### Answer 1 (B)

- Expression equation is as below,

- Numerical constant in algebraic expression is a fixed number as its value is fixed.
**Here in given expression numerical constant is**- Variables is a latter that is used in place of a number which value is not fixed and was find out with the help of related expression.
**Here in given expression variables are**

Expression | Numerical constant | Variables | |

(b) |

### Answer 2 (A)

- Coefficient is a constant number that stand beside the variable means in multiplication with variable.
**Coefficient in given expression are**- Variables is a latter that is used in place of a number which value is not fixed and was find out with the help of related expression.
**Here in given expression variables are**

Expression | Numerical constant | Variables | |

(a) |

### Answer 2 (B)

- Coefficient is a constant number that stand beside the variable means in multiplication with variable.
**Coefficient in given expression are****Here in given expression variables are**

Expression | Numerical constant | Variables | |

(a) |

### Answer 3 (A)

- Given expression is already in its simplest form we cannot do any process in this expression to simplify it,
- Hence simple form of given equation is
- itีs clear from simplest form that expression
**have three (3) term**;

Expression | Number of terms after simplification | Monomial/binomial/trinomial | |

(a) | 3 |

### Answer 3 (B)

- The simplest form of given equation is written as below,

- Hence simple form of given equation is
- itีs clear from simplest form that expression
**have three (2) term**;

Expression | Number of terms after simplification | Monomial/binomial/trinomial | |

(b) | 2 |

### Answer 4

__Linear polynomial__: A polynomial whose degree is 1 after simplificationof polynomial is named as a linear polynomial.- For example;
__Quadratic polynomial__: A polynomial whose degree is 2 after simplificationof polynomial is named as a Quadratic polynomial.- For example;
__Cubic polynomial__: A polynomial whose degree is 3after simplification of polynomial is named as a Cubic polynomial.- For example;
__Quartic polynomial__: A polynomial whose degree is 4after simplification of polynomial is named as a Cubic polynomial.- For example;
- Hence

### Answer 5 (A)

- Adding the given terms we have,

- Hence,

### Answer 5 (B)

- Subtract from

- Hence,

### Answer 6

- Here first is subtract from
- Hence,

- Sum of, and 3 times

- Now, is subtracting from .
- The difference is added to the sum of and 3 times

**Hence the resulting algebraic expression is**

### Answer 7 (A)

- Given equation,

- Therefore, the answer will be

### Answer 7 (B)

- Given equation,

- Hence, the answer will be

### Answer 7 (C)

- Given equation,

- Therefore, the answer will be

### Answer 8 (A)

- Given equation,

- Hence, the answer is

### Answer 8 (B)

- Given equation,

- Hence, the answer is

### Answer 8 (C)

- Given equation,

- Hence, the answer is

### Answer 9 (A)

- Here,

- Hence, the answer is

### Answer 9 (B)

- Here,

- Hence, the answer is

### Answer 9 (C)

- Here,

- Hence, the answer is

### Answer 10 (A)

- Hence, the answer is

### Answer 10 (B)

- Hence, the answer is

### Answer 11 (A)

- Hence, the answer is

### Answer 11 (B)

- Hence, the answer is