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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
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

AP 7th Class Maths Bits 3rd Lesson Simple Equations

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) x2 = 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

AP 7th Class Maths Bits 3rd Lesson Simple Equations

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) ÷ + =

AP 7th Class Maths Bits 3rd Lesson Simple Equations

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

AP 7th Class Maths Bits 3rd Lesson Simple Equations

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 x2 – 1 is ______
Answer:
0

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

AP 7th Class Maths Bits 3rd Lesson Simple Equations

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 AGroup 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 AGroup 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

AP 7th Class Maths Bits 3rd Lesson Simple Equations

Question 3.

Group AGroup 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 AGroup 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