Question

Write down the corresponding algebraic form of each expression given in the statement
form:-​

Answer 1

Answer :-

【1】A number added to 3.

➟ x+3

【2】5 subtracted from a number.

➟ x-5

【3】A number multiplied by 5.

➟ (5×x)= 5x

【4】3 added to twice a number .

➟ (2×x)+3 = 2x+3

【5】2 subtracted from thrice a number.

➟ (3×x) -2 = 3x-2

【6】Twice the sum of a number and 3.

➟ 2(x+3) = 2x+6

【7】Thrice a number subtracted from 5.

➟ 5-(3×x) = 5-3x

【8】10 subtracted from five times a number.

➟ (5×x) - 10 = 5x-10

【9】3 more than five times Abu's age.

➟ (5×x)+3 = 5x+3

【10】5 less than thrice Hari's age.

➟ (3×x)-5 = 3x-5

Answer 2

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Write down the corresponding algebraic form of each expression given in the statement form :-

1. A number added to 3
2. 5 subtracted from a number
3. A number multiped by 5 or 5 times a number
4. 3 added to twice a number
5. 2 subtracted from thrice a number
6. twice the sum of a number and 3
7. Thrice a number subtracted from 5
8. 10 subtracted from five times a number
9. 3 more than 5 times Abu's age ( Where the age is x )
10. Five less than Hari's age ( take age of Hari as x )

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$\sf{\underline{\purple{Note\: :\: Let \:the\: variable\:be\:x\:in\:all\:cases}}}$

A number added to 3

• $\implies\:x\:+\:3$

5 subtracted from a number

• $\implies\:x\:-\:5$

A number multiped by 5 or 5 times a number

• $\implies\:x\:\times\:5\:or\:5x$

3 added to twice a number

• $\implies\:(2\:\times\:x)\:+\:3\:or\:2x\:+\:3$

2 subtracted from thrice a number

• $\implies\:(3\:\times\:x)\:-\:2\:or\:3x\:-\:2$

Twice the sum of a number and 3

• $\implies\:2\:(\:x\:+\:3\:)\:or\:2x\:+\:6$

Thrice a number subtracted from 5

• $\implies\:5\:-\:3x$

10 subtracted from five times a number

• $\implies\:5x\:-\:10$

3 more than 5 times Abu's age ( Where the age is x )

• $\implies\:5x\:+\:3$

Five less than Hari's age ( take age of Hari as x )

• $\implies\:3x\:-\:5$

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What is a linear equation ?

Answer : A linear equation is a mathematical statement that has both sides equal that is LHS is equal to RHS and gives a straight line when plotted in a graph .

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What are constants and variables ?

Answer : Constants are numbers that have a fixed value . Variables are the terms whose value is unknown . Their value is not fixed while solving linear equations often will at their value as alphabets . Generally they are x , y and z .

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Give some examples of linear equations ?

Answer :

• $\hookrightarrow\:x\:+54\:=\:8$

• $\hookrightarrow\:3y\:+\:4\:=\:32$

• $\hookrightarrow\:6x\:+\:y\:=\:89$