Practice the AP 6th Class Maths Bits with Answers Chapter 7 Introduction to Algebra on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 6th Class Maths Bits 7th Lesson Introduction to Algebra with Answers

I. Choose the correct answer and write it in the brackets.

Question 1.

A letter which we used to represent a number is called ………………

A) Constant

B) Variable

C) Pattern

D) None

Answer:

B) Variable

Question 2.

A fixed value is called …………….

A) Constant

B) Variable

C) Pattern

D) None

Answer:

A) Constant

Question 3.

If ‘n’ number of distinct triangles are to be formed, we need ……………….. matchsticks.

A) 2n

B) 4n

C) 3n

D) 5n

Answer:

C) 3n

Question 4.

If x number of L shapes are to be formed, we need …………….. matchsticks.

A) 2x

B) 3x

C) 4x

D) 5x

Answer:

A) 2x

Question 5.

If two expressions are equal, then it is called ………………..

A) Expression

B) Equation

C) Variable

D) Constant

Answer:

B) Equation

Question 6.

What is the pattern of the series 5, 10, 15, 20, ………………… is?

A) \(\frac{x}{5}\)

B) 5^{x}

C) 5x

D) 5 + x

Answer:

C) 5x

Question 7.

…………….. Find the rule for the pattern.

A) 4y + 1

B) 2y + 1

C) 3y + 1

D) 4y – 1

Answer:

C) 3y + 1

Question 8.

What is the pattern of the letter H?

A) 3x

B) 4x

C) 5x

D) 2x

Answer:

A) 3x

Question 9.

For which value of x, 2 + x = 10?

A) 12

B) – 8

C) – 12

D) 8

Answer:

D) 8

Question 10.

Value of 3z – 2, when z = 0 is ………………

A) 1

B) 5

C) -2

D) -1

Answer:

C) -2

Question 11.

Value of \(\frac{5 \mathbf{x}-\mathbf{2}}{\mathbf{3}}\), when x = 4 is …………………

A) \(\frac{7}{2}\)

B) 6

C) \(\frac{22}{3}\)

D) 9

Answer:

B) 6

Question 12.

Swathi’s present age is ‘p’ years. Her age 3 years back was ………………

A) p + 3

B) p – 3

C) \(\frac{\mathrm{p}}{3}\)

D) 3 × p

Answer:

B) p – 3

Question 13.

The expression for “8 is subtracted from 2y” is ………………..

A) 2y – 8

B) 2y + 8

C) 8 – 2y

D) 16y

Answer:

A) 2y – 8

Question 14.

The expression for “-x divided by 4” is …………….

A) -x × 4

B) \(\frac{4}{-x}\)

C) \(\frac{-\mathrm{x}}{4}\)

D) -x + 4

Answer:

C) \(\frac{-\mathrm{x}}{4}\)

Question 15.

Write an expression for the statement “5 times of a is subtracted from twice of b”.

A) 5a – 2b

B) 5b – 2a

C) 2a – 5b

D) 2b – 5a

Answer:

D) 2b – 5a

II. Fill in the blanks.

1. Variable is represented by ………………….

Answer:

a, b, …………….m, n, ……………. x, y, …………

2. If n number of squares are to be formed, we need ……………….. matchsticks.

Answer:

4.n

3. If y number of shapes are to be formed, we need …………….. matchsticks.

Answer:

6.y

4. In an equation the value of the variable for which LHS and RHS are equal is called ……………….

Answer:

Solution

5. Another name for solution of an equation is ………………..

Answer:

Root of the equation

6. What is the pattern of the series 6, 12, 18, 24, ………………..?

Answer:

6.n

7. RHS of 2a + 4 = 9 – 3a is ……………..

Answer:

9 – 3a

8. If \(\frac{2}{3 x}=\frac{4}{6}\), then x = ……………

Answer:

1

9. What is the pattern of the series 4, 7, 10, 13, ……………….?

Answer:

3x + 1

10. Number of pencils with Ranga is 3 more than Krishna. Find the number of pencils with Ranga in terms of what Krishna has ……………..

Answer:

y + 3

11. What is the area of a square, if its side is x mts? ………………..

Answer:

x.x (or) x^{2}

12. If cost of a book is ₹ 20, then the cost of ‘n’ books is ……………..

Answer:

20.n

13. What is the perimeter of an equilateral triangle, whose side is ‘a’ units ?

Answer:

3a units

14. If -10 = \(\frac{-2 \mathrm{p}}{3}\), then p = …………………

Answer:

15

15. The n^{th} term of the sequence 1, 4, 9, 16, 25, …………… is ………….

Answer:

x^{2}

III. Match the following:

A)

1) The pattern of 2, 4, 6, 8, ……………… | a) 6 |

2) The pattern of 4, 8, 12, 16, | b) 4x |

3) Value of -x + 5 when x = – 1 is ……………… | c) -2 |

4) Solution of 7x = 49 is ……………….. | d) 2n |

5) If x – 3 = – 5, then x = ………………… | e) 7 |

Answer:

1) – d) 2n

2) – b) 4x

3) – a) 6

4) – e) 7

5) – c) -2

B)

1) LHS of 2x + 1 = 5 – 3x | a) 4a |

2) RHS of 2p + 10 = 3p + 5 | b) n^{3} |

3) Perimeter of square, whose side is ‘a’ units. | c) 3x |

4) Perimeter of triangle, whose side is ‘x’ units. | d) 3p + 5 |

5) n<sup>th</sup> term of 1, 8, 27, 64, 125 …………. | e) 2x + 1 |

Answer:

1) – e) 2x + 1

2) – d) 3p + 5

3) – a) 4a

4) – c) 3x

5) – b) n^{3}