Practice the AP 7th Class Maths Bits with Answers 3rd Lesson Simple Equations on a regular basis so that you can attempt exams with utmost confidence.

## AP Board 7th Class Maths Bits 3rd Lesson Simple Equations

Multiple Choice Questions :

Question 1.

An open sentence which contain sign = is called ______

(A) expression

(B) equation

(C) variable

(D) constant

Answer:

(B) equation

Question 2.

Value of the variable for which equation becomes true is called ______ of the equation.

(A) solution

(B) root

(C) variable

(D) A & B

Answer:

(D) A & B

Question 3.

If the same number is added or subtracted to both sides of the equation

(A) increases

(B) decreases

(C) remains unchanged

(D) none

Answer:

(C) remains unchanged

Question 4.

If both sides of the equation are multiplied by a same number, then equation

(A) increases

(B) decreases

(C) remains unchanged

(D) we can’t say

Answer:

(C) remains unchanged

Question 5.

Equation of the perimeter of a square of side x is 25 m is ______

(A) 4x = 25

(B) x^{2} = 25

(C) \(\frac{x}{4}\) = 25

(D) x – 4 = 25

Answer:

(A) 4x = 25

Question 6.

Equation of sum of interior angles x, y, z together of a triangle is ______

(A) x + y + z = 90°

(B) x + y + z = 180°

(C) x + y + z = 120°

(D) x + y = z

Answer:

(B) x + y + z = 180°

Question 7.

Statement of the equation 3x – 2 = 5 is ______

(A) Two is subtracted three times of x is 5

(B) Three is subtracted two times of x is 5

(C) 5 times of x is subtracted from 3 is 2

(D) Three times of x is subtracted from

Answer:

(A) Two is subtracted three times of x is 5

Question 8.

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

(A) constant

(B) equation

(C) variable

(D) statement

Answer:

(C) variable

Question 9.

If \(\frac{4}{3}\)x = \(\frac{4}{3}\), then x = ______

(A) 3

(B) 4

(C) 2

(D) 1

Answer:

(D) 1

Question 10.

The two digit dumber having x in units place and (x + 2) in ten’s place is ______

(A) 10x + 20

(B) 11x + 20

(C) 10x + 2

(D) 11x + 2

Answer:

(B) 11x + 20

Question 11.

The truth value of 5x+ 1 =6 is ______

(A) 1

(B) 2

(C) 3

(D) 4

Answer:

(A) 1

Question 12.

Sum of three consecutive numbers is 108, then the largest number is ______

(A) 35

(B) 36

(C) 37

(D) 38

Answer:

(C) 37

Question 13.

A number is 2\(\frac{1}{2}\) times another number. If their sum is 84, then the numbers are ______

(A) 24, 60

(B) 34, 50

(C) 14, 70

(D) 40, 44

Answer:

(A) 24, 60

Question 14.

Solution of 11 (x – 4) – 8(x + 2) = 0 is ______

(A) 10

(B) 15

(C) 20

(D) 25

Answer:

(C) 20

Question 15.

Divide 60 into two parts such that one part is 1\(\frac{1}{2}\) times the other part. They are ______

(A) 24, 36

(B) 25, 35

(C) 45, 15

(D) 20, 40

Answer:

(A) 24, 36

Question 16.

\(\frac{x}{2}-\frac{x}{3}\) = 4 ; x = ______

(A) 20

(B) 25

(C) 24

(D) 30

Answer:

(C) 24

Question 17.

If \(\frac{2}{7}\)x = 14, then x = ______

(A) 4

(B) 12

(C) 49

(D) 28

Answer:

(C) 49

Question 18.

Siddhanta Shiromani was written by ______

(A) Aryabhatta

(B) Bhaskara — I

(C) Bhaskara — II

(D) Bhaskaracharya

Answer:

(C) Bhaskara — II

Question 19.

Five times of a number is 60, then the number ______

(A) 15

(B)14

(C) 13

(D) 12

Answer:

(D) 12

Question 20.

The length of a rectangle is 15 more than its breadth. If the perimeter of the rectangle is 750 m , then the length and breadth are ______

(A) 40, 25

(B)35, 20

(C) 25, 30

(D) 45, 30

Answer:

(D) 45, 30

Question 21.

Which of the following represents a variable ?

(A) Length of your pencil box

(B) Breadth of your math text book

(C) Your height

(D) Number of hands to a human being

Answer:

(C) Your height

Question 22.

Which of the following represents a constant ?

(A) Your weight

(B) Number of students in your class in every year

(C) Your age

(D) The days in January month

Answer:

(D) The days in January month

Reasoning Questions:

Question 1.

6 × 6 = 6 + 6

(A) + – =

(B) = – +

(C) – + =

(D) – — +

Answer:

(A) + – =

Question 2.

24 = 4 + 6 – 1

(A) ÷ = ×

(B) ÷ × =

(C) = ÷ ×

(D) × ÷ =

Answer:

(A) ÷ = ×

Question 3.

16 = 6 – 5 ÷ 2

(A) = ÷ –

(B) ÷ = –

(C) – ÷ =

(D) – = ÷

Answer:

(C) – ÷ =

Question 4.

30 + 6 = 8 ÷ 13

(A) = ÷ +

(B) = + ÷

(C) + ÷ =

(D) ÷ + =

Answer:

(D) ÷ + =

Question 5.

8 – 2 = 4 ÷ 0

(A) ÷ – =

(B) – ÷ =

(C) = – ÷

(D) = ÷ –

Answer:

(A) ÷ – =

Question 6.

12 ÷ 10 = 5 – 10

(A) = ÷ –

(B) – × =

(C) – = ÷

(D) = – ÷

Answer:

(B) – × =

Question 7.

15 = 2 × 5 + 25

(A) = + ×

(B) + = ×

(C) + × =

(D) – × +

Answer:

(C) + × =

Question 8.

10 × 5 = 2 ÷ 4

(A) = ÷ +

(B) + ÷ =

(C) = + ÷

(D) ÷ + =

Answer:

(D) ÷ + =

Question 9.

40 – 4 = 8 ÷ 2

(A) ÷ – =

(B) – ÷ =

(C) ÷ = –

(D) = – ÷

Answer:

(A) ÷ – =

Question 10.

7 – 5 × 32 = 3

(A) = – ×

(B) – = ×

(C) = × –

(D) × – =

Answer:

(D) × – =

Fill in the blanks:

Question 1.

An equation which involves only one variable whose highest power 1 is known as ______

Answer:

Answer:

simple equation

Question 2.

If a same non-zero number divides both sides of equation ______

Answer:

unchanged

Question 3.

An equation is multiplied or divided by two different numbers on either side then the equation ______

Answer:

Can change

Question 4.

Equation of a number y increased by 8 is 15 is ______

Answer:

y + 8 = 15

Question 5.

Equation of the three times of z minus 8 is 20 is ______

Answer:

3z – 8 = 20

Question 6.

Statement form of \(\frac{x}{4}\) = 7 is

Answer:

one fourth of x is 7

Question 7.

A fixed value in the equation is called ______

Answer:

Constant

Question 8.

If two expressions Sire equal, then it is called ______ .

Answer:

Equation

Question 9.

An expression for y is divided by 4 and – 7 is subtracted from quotient is ______

Answer:

\(\frac{y}{4}\) – 7

Question 10.

Value of 5x – 3 when x = 3 is ______

Answer:

12

Question 11.

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

Answer:

2

Question 12.

If \(\frac{2}{3 x}=\frac{4}{6}\), then x = ______

Answer:

1

Question 13.

Solution of 9 – 5x = – 24 is ______

Answer:

\(\frac{33}{5}\)

Question 14.

Solution of 8(p + 2) – 3 = 29 is ______

Answer:

2

Question 15.

The process of changing the term from one side of the equation to other side is called ______

Answer:

transposition

Question 16.

In transforming terms from LHS to RHS “- quantity” becomes ______

Answer:

” + quantity”

Question 17.

In transforming terms from LHS to RHS “× quantity” becomes ______

Answer:

” ÷ quantity”

Question 18.

Solution of 3(x + 2) – 7 = 26 is ______

Answer:

9

Question 19.

If two numbers are in the ratio 2 : 5 and their difference is 24, then the biggest number is ______

Answer:

40

Question 20.

A number is triple 6 and 16 is added to it, the result is 40. The number is ______

Answer:

8

Question 21.

If x = – 1, then the value of x^{2} – 1 is ______

Answer:

0

Question 22.

An algebraic expression for p is multiplied by – 6 is ______

Answer:

– 6p

Question 23.

An algebraic expression for b is multiplied by x and 5 is added to the product is ______

Answer:

bx + 5

Match the following:

Question 1.

Group A | Group B |

1. x is reduced by | (A) \(\frac{7}{4}\) |

2. 8 subtracted from | (B) \(\frac{\text { p.q }}{4}\) |

3. 7 divided by 4 | (C) x – 4 |

4. One-fourth of the product of p and q | (D) 3z + 5 |

5. 5 added to the three times of z | (E) y – 8 |

Answer:

Group A | Group B |

1. x is reduced by | (C) x – 4 |

2. 8 subtracted from | (E) y – 8 |

3. 7 divided by 4 | (A) \(\frac{7}{4}\) |

4. One-fourth of the product of p and q | (B) \(\frac{\text { p.q }}{4}\) |

5. 5 added to the three times of z | (D) 3z + 5 |

Question 2.

Group A | Group B |

1. 6 more than p | (A) -5q |

2. q multiplied by – 5 | (B) 2y – 5 |

3. n multiplied by 5 and added to 10 | (C) 10y = 13 |

4. 5 subtracted from two times of y | (D) p + 6 |

5. y multiplied by 10 and added to 13 | (E) 5n + 10 |

Answer:

Group A | Group B |

1. 6 more than p | (D) p + 6 |

2. q multiplied by – 5 | (A) -5q |

3. n multiplied by 5 and added to 10 | (E) 5n + 10 |

4. 5 subtracted from two times of y | (B) 2y – 5 |

5. y multiplied by 10 and added to 13 | (C) 10y = 13 |

Question 3.

Group A | Group B |

1. 3m + 11 | (A) y is multiplied by 2 and 5 is subtracted From the product |

2. y – 7 | (B) x is divided by 5 |

3. \(\frac{x}{5}\) | (C) m is multiplied by 3 and 11 is added to it |

4. 2y – 5 | (D) x is added to 3 |

5. x + 3 | (E) 7 is subtracted from y |

Answer:

Group A | Group B |

1. 3m + 11 | (C) m is multiplied by 3 and 11 is added to it |

2. y – 7 | (E) 7 is subtracted from y |

3. \(\frac{x}{5}\) | (B) x is divided by 5 |

4. 2y – 5 | (A) y is multiplied by 2 and 5 is subtracted From the product |

5. x + 3 | (D) x is added to 3 |