Commutative Property in Algebra

Q. The sum of three consecutive numbers is 45. Find the numbers.

1. 12, 13, 14
2. 12, 13, 20
3. 14, 15, 16
4. 15, 16, 17

Q.

The three consecutive numbers that we should start with to get 100 on the top are

1. 30, 31 and 32
2. 23, 24 and 25
3. 24, 25 and 26

Q. For a two digit number, the digit at tens place is twice the digit at the units place. If 36 be subtracted from the number, the digits of the number get reversed. Find the number.

1. 84
2. 24
3. 42
4. 48

Q.

Soham borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is

___

Q.

A number is decreased by 20 and the new number so obtained is increased by 35; the result is 100. Find the number

1. 90

2. 75

3. 85

4. 65

Q. Prajakta has a certain number of chocolates; she gave one-third of the chocolates to her brother Arjun, one-sixth to her friend Preeti. She was then left with 30 chocolates. What is the sum of the number of chocolates that she gave to Arjun and Preeti?

1. 10
2. 20
3. 30
4. 60

Q.

Solve the equation : $x+93-67=-66$

1. -40

2. 40

3. -92

4. 92

Q.

(6 $\times$ 5 + 30) $÷$ (10 + 50)-100 $÷$ 2

1. -94

2. -49

3. 49

4. 98

Q. A number 'x' multiplied by 2, then decreased by 41 is 3. Find x.

1. 18
2. 20
3. 22
4. 24

Q. Find three consecutive natural numbers such that the sum of the first and second is 15 more than the third.

Q. Find the area of the following diagram:

Q.

10 + 6 $÷$ 3 + 2 $\times$ 8

1. 28

2. 24

3. 12

4. 18

Q. The area of a rectangle is $640m^2$. Taking its length as x m; find in terms of x, the width of the rectangle. If the perimeter of the rectangle is 104 m; find its dimensions.

1. $Width=\frac{640}{x}m;32mand20m$
2. $Width=\frac{320}{x}m;42mand10m$
3. $Width=\frac{640}{x}m;22mand30m$
4. $Width=\frac{640}{x}m;44mand8m$

Q. In a span of 50 years, out of the 6 main cities in a country, the population of cities A, B and C doubles while the population of cities D, E and F becomes 4 times as much as their initial population. If the population in each city is as given in the table, choose the line plot that correctly represent their populations 50 years later.

City	$A$	$B$	$C$	$D$	$E$	$F$
Initial population (in millions)	$\frac{1}{8}$	$\frac{1}{4}$	$\frac{1}{4}$	$\frac{1}{8}$	$\frac{1}{8}$	$\frac{1}{16}$

1. Plot 1
2. Plot 2
3. Plot 3
4. None of the above

Q. Two square have sides $x$ cm and $(x+4)$ cm. The sum of their areas is $656c{m}^2$. Find the sides of the squares.

1. $8$ cm, $12$ cm
2. $12$ cm, $15$ cm
3. $16$ cm, $20$ cm
4. $6$ cm, $10$ cm

Q.

Four more than twice of x is 44. We can write it as ____.

1. 2x = 44

2. 2x + 4 = 44

3. x + 4 = 44

4. 2x - 4 = 44

Q.

7y subtracted from 5 is equal to 8. Express this statement as an equation

1. 9y - 3 = 4

2. 5 - 7y = 8

3. 3 + 9y = 4

4. 3 - 9x = 4

Q.

$25\%$of what number is $5$?

Q.

Which property is represented in the following algebraic equation: 5 + 6 = 6 + 5

1. Associative property of addition

2. Distributive property of addition

3. Commutative property of addition

4. substitution property

Q. The total number of variables in the equation 3a + b + 6ab = 0 is 2.

1. False
2. True

Q.

An equation is called a ___ if the power of its variables is 1.

1. linear equation

2. quadratic equation

3. single equation

4. straight equation

Q.

The perimeter of a rectangle is 440 cms. Can you find the length of the rectangle if the breadth = 70 cms?

1. 150 cms

2. 110 cms

3. 370 cms

4. 300 cms

Q.

Solve the equation : $8x+6+2x-4=80$

1. 7.8

2. 78

3. 80

4. 0

Q.

One third of a number when added to 20 is 29. Can you find the number?

1. 27

2. 30

3. 90

4. 120

Q.

The area of a square is 576 sq cm. Can you find the length of each side of the square?

1. 144 cms

2. 24 cms

3. 14 cms

4. 124 cms

Q.

By splitting the following figures into rectangles, find their areas (the measures are given in centimeters).

Q. The sum of three consecutive numbers is given. What is the difference between the first and the third number?

1. one
2. Two
3. Four
4. Data inadequate

Q. Identify the commutative property of addition from the given options:

1. (a + b) + c = a + (b + c)
2. a + b = b + a
3. $a\times \frac{1}{a}=1$
4. a(b + c) = (a x b) + (a x c)