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## 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
(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
(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
(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
(C) remains unchanged

Question 5.
Equation of the perimeter of a square of side x is 25 m is ______
(A) 4x = 25
(B) x2 = 25
(C) $$\frac{x}{4}$$ = 25
(D) x – 4 = 25
(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
(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
(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
(C) variable

Question 9.
If $$\frac{4}{3}$$x = $$\frac{4}{3}$$, then x = ______
(A) 3
(B) 4
(C) 2
(D) 1
(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
(B) 11x + 20

Question 11.
The truth value of 5x+ 1 =6 is ______
(A) 1
(B) 2
(C) 3
(D) 4
(A) 1

Question 12.
Sum of three consecutive numbers is 108, then the largest number is ______
(A) 35
(B) 36
(C) 37
(D) 38
(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
(A) 24, 60

Question 14.
Solution of 11 (x – 4) – 8(x + 2) = 0 is ______
(A) 10
(B) 15
(C) 20
(D) 25
(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
(A) 24, 36

Question 16.
$$\frac{x}{2}-\frac{x}{3}$$ = 4 ; x = ______
(A) 20
(B) 25
(C) 24
(D) 30
(C) 24

Question 17.
If $$\frac{2}{7}$$x = 14, then x = ______
(A) 4
(B) 12
(C) 49
(D) 28
(C) 49

Question 18.
Siddhanta Shiromani was written by ______
(A) Aryabhatta

Question 19.
Five times of a number is 60, then the number ______
(A) 15
(B)14
(C) 13
(D) 12
(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
(D) 45, 30

Question 21.
Which of the following represents a variable ?
(A) Length of your pencil box
(D) Number of hands to a human being

Question 22.
Which of the following represents a constant ?
(B) Number of students in your class in every year
(D) The days in January month
(D) The days in January month

Reasoning Questions:

Question 1.
6 × 6 = 6 + 6
(A) + – =
(B) = – +
(C) – + =
(D) – — +
(A) + – =

Question 2.
24 = 4 + 6 – 1
(A) ÷ = ×
(B) ÷ × =
(C) = ÷ ×
(D) × ÷ =
(A) ÷ = ×

Question 3.
16 = 6 – 5 ÷ 2
(A) = ÷ –
(B) ÷ = –
(C) – ÷ =
(D) – = ÷
(C) – ÷ =

Question 4.
30 + 6 = 8 ÷ 13
(A) = ÷ +
(B) = + ÷
(C) + ÷ =
(D) ÷ + =
(D) ÷ + =

Question 5.
8 – 2 = 4 ÷ 0
(A) ÷ – =
(B) – ÷ =
(C) = – ÷
(D) = ÷ –
(A) ÷ – =

Question 6.
12 ÷ 10 = 5 – 10
(A) = ÷ –
(B) – × =
(C) – = ÷
(D) = – ÷
(B) – × =

Question 7.
15 = 2 × 5 + 25
(A) = + ×
(B) + = ×
(C) + × =
(D) – × +
(C) + × =

Question 8.
10 × 5 = 2 ÷ 4
(A) = ÷ +
(B) + ÷ =
(C) = + ÷
(D) ÷ + =
(D) ÷ + =

Question 9.
40 – 4 = 8 ÷ 2
(A) ÷ – =
(B) – ÷ =
(C) ÷ = –
(D) = – ÷
(A) ÷ – =

Question 10.
7 – 5 × 32 = 3
(A) = – ×
(B) – = ×
(C) = × –
(D) × – =
(D) × – =

Fill in the blanks:

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

Question 2.
If a same non-zero number divides both sides of equation ______
unchanged

Question 3.
An equation is multiplied or divided by two different numbers on either side then the equation ______
Can change

Question 4.
Equation of a number y increased by 8 is 15 is ______
y + 8 = 15

Question 5.
Equation of the three times of z minus 8 is 20 is ______
3z – 8 = 20

Question 6.
Statement form of $$\frac{x}{4}$$ = 7 is
one fourth of x is 7

Question 7.
A fixed value in the equation is called ______
Constant

Question 8.
If two expressions Sire equal, then it is called ______ .
Equation

Question 9.
An expression for y is divided by 4 and – 7 is subtracted from quotient is ______
$$\frac{y}{4}$$ – 7

Question 10.
Value of 5x – 3 when x = 3 is ______
12

Question 11.
Value of $$\frac{3 x-2}{5}$$ when x = 4 is ______
2

Question 12.
If $$\frac{2}{3 x}=\frac{4}{6}$$, then x = ______
1

Question 13.
Solution of 9 – 5x = – 24 is ______
$$\frac{33}{5}$$

Question 14.
Solution of 8(p + 2) – 3 = 29 is ______
2

Question 15.
The process of changing the term from one side of the equation to other side is called ______
transposition

Question 16.
In transforming terms from LHS to RHS “- quantity” becomes ______
” + quantity”

Question 17.
In transforming terms from LHS to RHS “× quantity” becomes ______
” ÷ quantity”

Question 18.
Solution of 3(x + 2) – 7 = 26 is ______
9

Question 19.
If two numbers are in the ratio 2 : 5 and their difference is 24, then the biggest number is ______
40

Question 20.
A number is triple 6 and 16 is added to it, the result is 40. The number is ______
8

Question 21.
If x = – 1, then the value of x2 – 1 is ______
0

Question 22.
An algebraic expression for p is multiplied by – 6 is ______
– 6p

Question 23.
An algebraic expression for b is multiplied by x and 5 is added to the product is ______
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

 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

 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

 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