Converting Algebraic Statements to Verbal Statements and Vice Versa

Q.

Write an expression to represent 4 more than the product of 3 and number x.

1. 4 + 3 + x

2. 4x + 3

3. 3x + 4

4. 3x - 4

Q. Aditya has a certain number of pencils that cost ₹3 per piece. The total cost of all the pencils he had is 10 more than 4 times the number of pencils. If the total cost is ₹162, then how many pencils does Aditya have?

1. 12
2. 10
3. 11
4. 13

Q.

"9k + 1" is same as:

1. 9 multiplied to k and 1 is added to k

2. 9 multiplied to k and then 1 is added

3. k multiplied to 1 and then 9 is added

4. 9 multiplied to 1 and then k is added

Q. A number is 12 more than the other if their sum is 48. What are the numbers? Also, find the product of these numbers. [4 MARKS]

Q.

Express as an equation:

A number decreased by its one-sixth is $6$.

Q. The expression obtained when x is multiplied by 2 and then subtracted from 20 is

1. 3x - 20
2. 2x + 20
3. 2x - 20
4. 20 - 2x

Q. If a number is increased by 20, it becomes 45. Then, the number is ____

1. 25
2. 20
3. 30
4. 35

Q. If 4(x + 5) = 28, the value of x is .

1. 2
2. 3
3. 4

Q.

What must be added to 5x to thr power of 3 -2x to the power of 2 +6x +7 to get the sum x to the power of 3 +3x to the power of 2 -1x +1

Q. Taking x = 3, find the values of the following algebraic expressions.

(1) 5x − 3
(2) x²
(3) 2x³
(4) 5x² + x
(5) x² + 2x

Q. If a = 3, b = 4 and c = −2, find the values of the following algebraic expressions.

(1) 2a + 5b
(2) a + b + c
(3) b² + a² − c²
(4) b² − a²

Q. Rahul had to finish his homework before leaving to school. He had to find the value of the term 8xyz, when x = 2, y = 3 and z = 4. He found the value of 8xyz as 8 + 2 + 3 + 4 = 17.

The procedure employed by Rahul is correct. State whether True/False.

1. False
2. True

Q. Taking x = 4, find the values of the following algebraic expressions.

(1) 5 − x
(2) 3 (5 − x)
(3) (5 − x)²
(4) (x + 2)²
(5) 3(x + 2)
(6) 2 (x + 2) + 3

Q. 9x+48=55

Q.

Rahul's dad's age is 4 more than 3 times of his present age. If Rahul is 11 years old, then his dad is _____.

1. 35 years old

2. 36 years old

3. 34 years old

4. 37 years old

Q. Write the following using numbers, literals and sings of basic operations:

(i) The sum of 6 and x.
(ii) 3 more than a number y.
(iii) One-third of a number x.
(iv) One-half of the sum of number x and y.
(v) Number y less than a number 7.
(vi) 7 taken away from x.
(vii) 2 less than the quotient of x by y.
(viii) 4 time x taken away from one-third of y.
(ix) Quotient of x by 3 is multiplied by y.

Q.

Express as an equation:

$9$ increased by one-forth of a number is $15$.

Q. There is a certain number, whose value is unknown. But it is known that when $5$ is added to that number, we get $15$. What is the value of the number?

1. $12$
2. $11$
3. $9$
4. $10$

Q. Ram says he has 5 marbles more than Shyam does. Shyam says he has 6 marbles more than Krishna does. If the total number of marbles with both of them is 35, how many marbles does Krishna have?

1. 10
2. 9
3. 11
4. 12

Q. Priya has three times as many chocolates as Shriya has. If the total number of chocolates with both of them is 36, how many chocolates does Shriya have?

1. 12
2. 6
3. 9
4. 27

Q. Andy has ₹ x in his pocket and he spent ₹ 250 on his hair cut and ₹ 115 on his face wash. The amount left with him is ₹ 1175. Find the value of x.

1. ₹365
2. ₹1290
3. ₹1425
4. ₹ 1540

Q.

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

1. (p + q)pq

2. pq + (p - q)

3. pq + p + q

4. pq - (p + q)