AP 6th Class Maths Bits Chapter 7 Introduction to Algebra with Answers

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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.
AP 6th Class Maths Bits Chapter 7 Introduction to Algebra with Answers 1 …………….. 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 AP 6th Class Maths Bits Chapter 7 Introduction to Algebra with Answers 2 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) x²

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:
x²

III. Match the following:

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

1) LHS of 2x + 1 = 5 – 3x	a) 4a
2) RHS of 2p + 10 = 3p + 5	b) n³
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) n³