Forming Algebraic Equations (Addition)

Q.

How do you use numerical expressions to solve real-world problems?

Q. William has bought 30 apples out of which 20% are rotten. Can you write an expression for the apple that are edibles?

1. $30=6+x$
2. $30=6-x$
3. $20=6+x$
4. $30=5+x$

Q.

Write the algebraic expression for the following situation.

Ravis age is $32years$ less than his fathers.

Q.

Write the statement for the following algebraic expression:

$\frac{x+5}{4}$

Q.

Ali is $x$ years old. Express the following in algebraic form:

The present age of Alis father who is $5$times as old as Ali was $3$years ago.

Q.

Explain how to write and evaluate an algebraic expression that represents the situation.

Adi studied for three more hours.
Evaluate when $h=8.$

Q.

Ali is $x$ years old. Express the following in algebraic form:

The present age is Alis aunt who is four times as old as Ali will be $5$years from today.

Q.

Write an algebraic expression for each of the following :

(i) The number, t, decreased by 5

Q.

Write algebraic expression of this statement. " $7$ added to thrice of $\mathrm{x}$."

Q.

Write each phrase as an algebraic expression.

A number divided by $-15$.

Q.

Express the following as an algebraic expression.

The product of $a$ and $b$ added to their sum

Q.

Sarabjit is $4$ years younger than his sister Lena. Write the algebraic expression for this situation.

Q.

A girl is $30$ years younger than her mother. If she is $x$ years old, how old is her mother.

Q.

Write an algebraic expression for the following :

Ramesh is twice as old as Hari. If Hari is $p$ years old, what is Rameshs age?

Q. Length and breadth of a recatngle are 10 cm and 5 cm respectively. Calculate the area of the rectangle.

1. $15c{m}^2$
2. $30c{m}^2$
3. $20c{m}^2$
4. $25c{m}^2$

Q.

Write the algebraic expression for the following situation.

Jane is twice as old as Maya. write the expression for Janes age in terms of Mayas age.

Q.

Write the algebraic expression for the following situation.

Sam is $wyears$old. Surya is $3years$ older. Write the expression for Suryas age in terms of $w$.

Q.

Write the sentence as an algebraic equation.

$10$less than a number is $35$.

Q.

Form the pair of linear equations in the following problem and find their solution (if they exist) by any algebraic method:

Meena went to a bank to withdraw $Rs.2000$. She asked the cashier to give her $Rs.50$ and $Rs.100$ notes only. Meena got $25$ notes in all. Find how many notes of $Rs.50$ and $Rs.100$ she received.

Q.

Write the expression for the following cases:

Three times the difference of $30$ and $a$

Q. William is five years older than his six-year-old sister.
Form an algebraic expression from the above comprehension

1. $x=6+5$
2. $x=6-5$
3. $x=6\times 5$
4. $x=6÷5$

Q. At 4 p.m., one-third of the $x$ number of people in the tourist place visited the park. At 5 p.m., another 25 people came to the park, so the number of people in the park increased to 130.
Derive the algebraic equation for the above comprehension <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

1. $130=\frac{1}{3}x+25$
2. $130=3x+25$
3. $130=3x+25$
4. $130=3-x+25$

Q. Manish and Nitish are brothers. Manish is three years younger than Nitish. If Nitish age is $x$ then find the algebraic expression for Manish’s age.

Q. There are 2a number of passengers on a train. At the next junction, another 15 passengers catch the train. There are a total of 150 people on the train.
Write the algebraic equation for the above comprehension.

1. 150 = 2a + 15$
   
2. $150=2a+15$
   
3. $150=2a-15$
   
4. $150=2a\times 15$
   

Q.

Write an algebraic expression for each of the following :

(iv) The number of birds, t, in a nest after 3 flew away