Framing an Algebraic Expression

Q.

What will be the expression for the sum of numbers p and q, which is subtracted from their product ?

1. pq - p + q

2. pq + p + q

3. (p + q)pq

4. pq - p - q

Q.

Observe the pattern given below.

What is the general expression for this pattern?

1. $\frac{n(n+1)}{2}$

2. $\frac{n(n-1)}{2}$

3. $n\ast (n-1)$

4. $n^2$

Q. In a two digit number, the units digit is x and tens digit is (x+3). What is the sum of the digits in the number?

1. 11x + 3
2. 2x + 3
3. 3 + x
4. 11x + 30

Q.

Write an algebraic equation for the following:

The product of $9$ and a number $‘x’$ is $36$

Q.

Write the statements for the following algebraic expression:

• $(x+2)-y$

Q. The expression represents the pattern 1, 5, 9, 13, 17, ..... perfectly.

1. 3n - 3
2. 3n - 2
3. 4n - 2
4. 4n - 3

Q. Raju's age is 5 more than twice of Ram's age. If Ram's age is represented by $x$, then the expression which represents Raju's age is ________.

1. $2x$
2. $2x$ + 5
3. $5x+2$
4. $2x-5$

Q. How do you write an algebraic equation for "the difference between 16 and a number is 4"?

1. 16n = 4
2. n + 16 = 4
3. 16 - n = 4
4. n - (-16) = 4

Q.

State whether the following statements are true (T) or false (F):

(vii) If $x$ toffees are distributed equally among $5$ children, then each child gets $5x$ toffees.

1. True
2. False

Q.

write the sentence as an algebraic equation.

The product of a number and $4$ is $-15$.