Introduction to Algebraic Expressions

Q.

Change the following statements using expressions into statements in ordinary language. (For example, Given Salim scores $r$runs in a cricket match, Nalin scores $(r+15)$ runs.

In ordinary language - Nalin scores $15$ runs more than Salim.)

1. A notebook costs $₹p$. A book costs $₹3p$
2. Tony put $q$marbles on the table. He has $8q$ marbles in his box.
3. Our class has $n$ students. The school has $20n$students.
4. Jaggu is $z$ years old. His uncle is $4z$ years old and his aunt is $(4z-3)$ years old.
5. In an arrangement of dots there are $r$ rows. Each row contains $5$ dots

Q.

At a high school football game Jamie buys $6$ hot dogs and $4$ soft drinks for $\$13$. Amy buys $3$ hot dogs and $4$ soft drinks for $\$8.50$. What is the price of a hot dog?

Q.

Write down separately the terms of each of the following algebraic expressions :

$2p-3q$

Q.

Convert into algebraic expression: $z$ is divided by $10$.

Q.

State the number of terms in each of the following algebraic expressions .

$x÷2+y-3$

Q. The cost of an adult ticket in an amusement park is $\$20,$ whereas the cost of a child ticket is $\$15.$ Find the expression for the amount of money (in dollars) required to purchase the tickets for a family with $a$ number of adults and $c$ number of children.

1. $\$(20+15)$
2. $\$(20c+15a)$
3. $\$\left(35c\right)$
4. $\$(20a+15c)$

Q. In the algebraic expression $4x+5y+7,$ what is(are) variable(s)?

1. $x$
2. $y$
3. $4$
4. $7$

Q.

Multiple Choice Questions. Tick Only One Option.

$2x+1$ is

1. A linear equation

2. An algebraic expression

3. Both

4. None of these

Q. Which of the following option(s) is(are) NOT an algebraic expression?

1. $2x+5$
2. $5x+3y$
3. $7y$
4. $9$
5. None of the above

Q. $5-x+8-y$ is an algebraic expression.

1. True
2. False

Q. The above image is of a square of length "$a$" units.

1. True
2. False

Q.

Write all the terms of the following algebraic expression :

$2xy+2yz-5zx+\frac{1}{9}$

Q. Algebraic expressions include which of the following?

1. Constants
2. Variables
3. Arithmetic operations
4. Coefficients

Q. Transform the following compound sentence to a simple sentence:
Not only did his family congratulate him but his friends did too.

1. His friends and family congratulated him.
2. His family congratulated him and his friends congratulated him.
3. His family congratulated him before his friends congratulated him.
4. His friends congratulated him after his family congratulated him.

Q.

The sum of two integers is $-396$. If one of the integers is $64$, determine the other.

Q. Rohan doesn't know how many tennis balls he has. Sonia has $36$ tennis balls with her which are $6$ more than the tennis balls that Rohan has. How many tennis balls Rohan has?

1. $42$
2. $30$
3. $216$
4. $6$

Q.

Write how the following expression has been formed.

$3/5-x$

Q. Select the bubble which represents or is the output of the algebraic expression ${}^{\prime }5\times 3^{\prime }$.

1. 53
2. (5)(3)
3. 15
4. $5÷3$
5. $45÷3$
6. $3\times 5$
7. 35
8. $1\times 15$

Q.

Identify the algebraic expression from the following.

$12-4x$

Q. Choose the correct pair involving expression and the number of terms contained in it.

1. $2x+3y$
   
2. $5z-7a+6b$
3. $8q-5r+2d+k-3e$
   
4. Two
5. Three
6. Five

Q. Rohan doesn't know how many tennis balls he has. Sonia has $36$ tennis balls with her which are $6$ more than the tennis balls that Rohan has. How many tennis balls Rohan has?

1. $42$
2. $30$
3. $216$
4. $6$

Q. The total number of distinct variables in the algebraic expression $3x^4+4xy+5y+7$ is