Question

Express the following in algebraic expressions
1.) one-half the sum of m and n
2.) p is two thirds of q
3.) three added to four times a number
4.) divide the sum of six and two by the difference of two from ten
5. )the sum of one hundred and one-fourth of twelve
6.) five times a number y subtracted from thirty

Answer 1

Answer - 1 :-

1.) One-half the sum of m and n.

Its algebraic expression is

$\boxed{ \blue{\rm : \implies \:\dfrac{1}{2} (m \: + \: n)}}$

Answer - 2 :-

2.) p is two thirds of q.

Its algebraic expression is

$\boxed{ \green{ \rm : \implies \: p\: = \dfrac{2}{3}q }}$

Answer - 3 :-

3.) Three added to four times a number.

Let number be 'x'.

Its algebraic expression is

$\boxed{ \orange{ \rm : \implies \:4x \: + \: 3}}$

Answer - 4 :-

4.) Divide the sum of six and two by the difference of two from ten.

Its algebraic expression is

$\boxed{ \pink{ \rm : \implies \: \dfrac{6 + 2}{10 - 2} \: }}$

Answer - 5 :-

5. )The sum of one hundred and one-fourth of twelve.

Its algebraic expression is

$\boxed{ \red{ \rm : \implies \:100 \: + \dfrac{1}{4} \times 12}}$

Answer - 6 :-

6.) Five times a number y subtracted from thirty.

Its algebraic expression is

$\boxed{ \pink{ \rm : \implies \: 30\: - \: 5y}}$

Answer 2

Answer:

One-half the sum of m and n.

Its algebraic expression is

$➜ \frac{1}{2} (m + n)$

Step-by-step explanation:

Answer - 2 :-

2.) p is two thirds of q.

Its algebraic expression is

$➜p = \frac{2}{3} q$

Answer - 3 :-

3.) Three added to four times a number.

Let number be 'x'.

Its algebraic expression is

$➜4x + 3$

Answer - 4 :-

4.) Divide the sum of six and two by the difference of two from ten.

Its algebraic expression is

$➜\frac{6 + 2} {10 - 2}$

Answer - 5 :-

5. )The sum of one hundred and one-fourth of twelve.

Its algebraic expression is

$➜100 + \frac{1}{4}×12$

Answer - 6 :-

6.) Five times a number y subtracted from thirty.

Its algebraic expression is

$➜30 - 5y$

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