Conversion of Verbal Statements to Algebraic Expressions and Vice Versa

Q.

What happens to the area of a rectangle if its length is doubled, breadth remains the same?

Q. Which of the following algebraic expression is the correct representation of the following expession?
3 divided by z is added to the product of x and y.

1. $3z+\frac{x}{y}$
2. $\frac{3}{z}+\frac{x}{y}$
3. $\frac{3}{z}+xy$
4. $\frac{z}{3}+xy$

Q.

Write the algebraic expressions for

Five more than a number divided by five.

Q.

A bus covers $630$ km in $9$ h. If it completes the first two thirds of the journey at $60$ km/h, calculate its speed for the rest of the journey.

Q.

Reema has $12a$ flowers. Ria has $6$ flowers more than Reema. How many flowers does Ria have ?

Q. Simran had ₹350 to spend on 7 books. After buying them she had ₹14 left. Find the cost of each book.

1. ₹ 60
2. ₹ 72
3. ₹ 48
4. ₹ 56

Q.

Manish and Nitish are brothers. Manish is three years younger than Nitish. If Nitish age is ‘x’ then Manish’s age could be represented by the expression

1. x - 3

2. x + 1

3. x - 1

4. x + 3

Q.

What happens to the area of a rectangle if its length as well as its breadth is doubled ?

Q. Bittu tells Kittu " I have 5 chocolates more than seven times the number of chocolates you have”. If Kittu has 5 chocolates, how many chocolates does Bittu have ?

1. 35
2. 40
3. 30
4. 45

Q.

Write the algebraic expression one-ninth of $x$ added to half of the sum of $a$ and $b$.

Q. Which of the following algebraic expression is the correct representation of the following expession?
3 divided by z is added to the product of x and y.

1. $\frac{3}{z}+xy$
2. $\frac{z}{3}+xy$
3. $\frac{3}{z}+\frac{x}{y}$
4. $3z+\frac{x}{y}$

Q. Write an algebraic equation for: A number added to 3 gives 9.

1. x+5 = 9
2. x+3 = 9
3. x+2 = 3
4. x+9 = 3

Q. An expression that represents the statement "10 is added to three times of $a$ and equal to 13' is ___.

1. $3a+10=13$
2. $4a+3=11$
3. $4a+4=12$
4. $3a+13=10$

Q.

If 5 is added to three times the product of two numbers $m$ and $n$, then the expression will be _______.

1. $5+mn$

2. $5+3mn$

3. $m+3n+5$

4. $(mn+5)\times 3$

Q. In a quiz program, the correct answer gets you 2 marks. For each wrong answer, one mark is deducted. There are 50 questions to be answered. If Preeti scored 76 marks in the quiz, how many of her questions were right?

1. 26
2. 13
3. 42
4. 38

Q. Frame an algebraic expression: 'Twice a number added to 4'.

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

Q.

The runs scored by Nitish is five more than one-eighth of that scored by Shekhar. If Shekhar scored 'y' runs then the expression for the runs scored by Nitish is ________.

1. (5 - $\frac{y}{8}$)

2. 5 + y

3. 5 - y

4. (5+ $\frac{y}{8}$)

Q. Let prices of a pencil and an eraser be $x$ and $y$ respectively, then the algebraic expression for the price of 3 pencils and 2 erasers is _______.

1. $3x+2y$
2. $2x+3y$
3. $6xy$
4. $xy+6$