Introduction to Algebraic Expressions

Q. In an algebraic equation, a variable is a symbol (usually a letter) that represents an unknown value.

1. True
2. False

Q. What is the degree of the algebraic expression,
$x^3{y}^2-6x^2{y}^5+x^4{y}^4-8x{y}^6+5x^{3}y$ ?

1. 5
2. 7
3. 8
4. 4

Q.

Classify into monomials, binomials and trinomials.

$4y-7z$

Q. An algebraic expression that consists of one or more than one term is called polynomial expression.

1. False
2. True

Q. Fill in the blank:
$iii$. If $18=\frac{18}{a}$ then $a=$

Q. Observe the pattern given below:
1, 4, 9, 16, 25, ...
The algebraic expression for $n^{th}$ term of the pattern is

1. $n$
2. $n^2+1$
3. $n^2$
4. $n^3+1$

Q. The numerical coefficient of the term $-7abc$ is

1. $7ab$
2. $-7$
3. $-7a$
4. $7$

Q. Which among the following algebraic expressions does not contain a constant term?

1. $8x+7y+6z$
2. $2x^3+9y^4+5$
3. $27x^4+91z^4+84$
4. $7a^2+6b^2-42$

Q. Add:
(i) 𝑎+𝑏 and 2𝑎+3𝑏

Q. Identify the non-constant term in the algebraic expression $3x^2-4$ and get its coefficient.

1. Term: $3x^2$
   Coefficient: $4$
2. Term: $3x^2$
   Coefficient: $-4$
3. Term: $3x^2$
   Coefficient: $3$
4. Term: $3x^2$
   Coefficient: $2$

Q.

Classify the following as ‘arithmetic expression’ or ‘algebraic expression’:

$16÷(2-1)$

Q. Find the value of the expression $3x-1$ for the given values of $x$:
$x=1,5,-6,\frac{3}{7}$

1. $2,14,-17,\text{and}\frac{2}{7}\text{respectively}$
2. $2,14,-19,\text{and}\frac{2}{7}\text{respectively}$

Q. What will be the degree of $1+4x^{2}y+xyz+x^{2}yz$

1. 0
2. 3
3. 4
4. 10

Q. The numerical coefficient of the term $-7abc$ is

1. $7$
2. $-7$
3. $-7a$
4. $7ab$

Q.

Get the algebraic expressions in the following cases using variables, constants, and arithmetic operations:

Sum of numbers $a$ and $b$ subtracted from their product.

Q. Two different unknowns in an algebraic expression can not be combined to form a single algebraic expression term .

1. True
2. False

Q.

In $15-x^2$, the term which is not a constant is __________ and its coefficient is ________.

Q. $\text{What is the sum of first 11 odd numbers?}$

1. 93
2. 107
3. 121
4. 115

Q. An algebraic expression consists of arithmetic operations of numbers, unknowns, or both.

1. False
2. True

Q.

Classify the following as ‘arithmetic expression’ or ‘algebraic expression’:

• $3xy+1$

Q. Find the value of the expression $2x$ for the given values of $x$:
$x=1,5,-6,\frac{3}{7}$

1. 
   $2,10,-12$ and $\frac{6}{7}$ respectively
2. 
   $\frac{6}{7},10,-12,$ and $2$ respectively
3. 
   $1,5,-6,$ and $\frac{3}{7}$ respectively

Q.

Classify into monomials, binomials and trinomials.

$5-3t$

Q. Find the value of the expression $-4x$ for the given values of $x$:
$x=1,5,-6,\frac{3}{7}$

1. $-4,-20,24,$ and $\frac{12}{7}$ respectively.
2. $-\frac{12}{7},24,-20,$ and $44 respectively.

Q. Find the value of the expression $x$ for the given values of $x$:
$x=1,5,-6,\frac{3}{7}$

1. 
   $1,5,-6$ and $\frac{3}{7}$ respectively
2. 
   $\frac{3}{7},-6,5$ and $1$ respectively

Q. Identify the exponent of $z$ in the algebraic expression $8x^5{y}^{3}z+4xy+16$.

1. 1

Q.

Classify the following as ‘arithmetic expression’ or ‘algebraic expression’:

$18-\left\{12÷(2+3)\right\}$

Q.

Classify the following as ‘arithmetic expression’ or ‘algebraic expression’:

• $4x÷3$

Q. The numerical coefficient of the term $-7abc$ is

1. $-7$
2. $7$
3. $7ab$
4. $-7a$

Q. Add:
(iv) 4+𝑥, 5−2𝑥 and 6𝑥

Q. Jonny baked $9x$ similar cookies with a total of $x$ ounces of butter. The number of cookies, he baked with one ounce of butter is