Find the perimeter of a triangle whose sides are 2y + 3z , z - y, 4y - 2z.
Question types
Algebraic Expressions question types
109 questions across 7 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
109
Questions
7
Question groups
5
Question types
01
[1 Mark Question Answer]
48 Q→02[2 Mark Question Answer]
22 Q→03[3 marks sum]
5 Q→04[4 marks sum]
2 Q→05TRUE / FALSE
6 Q→06Fill in the blanks.
10 Q→07MCQ
16 Q→Sample Questions
Algebraic Expressions questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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The two adjacent sides of a rectangle are 3a - b and 6b - a Find its perimeter.
What should be added to $m^2-2 m n+5 n^2$ to get $n^2+m n-m^2$ ?
View full solution →What should be subtracted from $2 x^2-y^2+4 z^2$ to get $x^2+y^2-z^2 ?$
View full solution →What should be subtracted from x + 2y - 3z to get 3x - 2y + z?
Find the excess of $4 p^2-2 p q+3 q^2$ over $2 p^2-p q+4 q^2$.
View full solution →The perimeter of a rectangle is $16 x^3-6 x^2+12 x+4$. If one of its sides is $8 x^2+3 x$, find the other side.
View full solution →The perimeter of a triangle is $8+13 a+7 a^2$ and two of its sides are $2 a^2+3 a+2$ and $3 a^2-4 a-1$. Find the third side of the triangle.
View full solution →What should be added to $1+2 x-3 x^2$ to get $x^2-x-1$ ?
View full solution →What should be added to 7a - 9b + 13c to get 9a + b - c ?
Subtract : $2 a b c-a^2-b^2$ from $b^2+a^2-2 a b c$
View full solution →Subtract : $3 z^3-2 z^2+7 z-8$ from $8-z-z^2$
View full solution →Subtract : $3 p^3-5 p^2 q+2 q^2$ from $q^2+p^2 q-4 p^3$
View full solution →Subtract : $5 x^2-3 x y-7 y^2$ from $3 x^2-x y-2 y^2$
View full solution →Subtract : $3 a-2 b+4 c$ from $5 a-3 b-5 c$
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Saket wrote four different algebraic expressions in his notebook. These are $f(x)=2 x^3-\frac{1}{3} x$ $g(x)=x-\frac{1}{x}+2, h(x)=x^2-2 \sqrt{x}$ and $k(y)=2 y-1$.
Q.1. Which of these expressions is / are binomials ?
(a) $f(x), g(x), h(x)$ only
(b) $f(x), g(x), k(y)$ only
(c) $f(x), h(x), h(y)$ only
(d) $f(x), h(x)$ only
Q.2. Which of these expressions is / are not polynomials ?
(a) $f(x), g(x), h(x)$ only
(b) $f(x), h(x)$ only
(c) $g(x), h(x)$ only
(d) $h(x)$ only
Q.3. Which of these expressions is/are polynomials in two variables ?
(a) $f(x)$ only $\quad$$\quad$(b) $k(y)$ only $\quad$$\quad$$\quad$$\quad$(c) $f(x), k(y)$ only $\quad$$\quad$(d) None of these
Q.4. The degree of the polynomial $f(x)$ is :
(a) 0$\quad$$\quad$(b) 1 $\quad$$\quad$$\quad$$\quad$(c) 2 $\quad$$\quad$(d) 3
View full solution →Q.1. Which of these expressions is / are binomials ?
(a) $f(x), g(x), h(x)$ only
(b) $f(x), g(x), k(y)$ only
(c) $f(x), h(x), h(y)$ only
(d) $f(x), h(x)$ only
Q.2. Which of these expressions is / are not polynomials ?
(a) $f(x), g(x), h(x)$ only
(b) $f(x), h(x)$ only
(c) $g(x), h(x)$ only
(d) $h(x)$ only
Q.3. Which of these expressions is/are polynomials in two variables ?
(a) $f(x)$ only $\quad$$\quad$(b) $k(y)$ only $\quad$$\quad$$\quad$$\quad$(c) $f(x), k(y)$ only $\quad$$\quad$(d) None of these
Q.4. The degree of the polynomial $f(x)$ is :
(a) 0$\quad$$\quad$(b) 1 $\quad$$\quad$$\quad$$\quad$(c) 2 $\quad$$\quad$(d) 3
The degree of the monomial $3^3$ is 3 .
View full solution →The coefficient of $a^2 b$ in $-9 a^2 b^2 c$ is $-9 b c$.
View full solution →If we add a monomial and a trinomial, the answer can be a monomial.
3 mn is a factor of $-9 mn ^2$.
View full solution →$2 a^3 b-a^2 b-3 a^2 b^2+7 b a^2-b a^3$ is a trinomial.
View full solution →If the length of a rectangle having perimeter ( $6 m^2-2 m n+2 m^2 n-4 n^2$ ) units, is $\left(3 m^2+m^2 n-2 m n\right)$ units, then its breadth is equal to _________ units.
View full solution →In a polynomial, the exponents of the variables are always
The length of a side of a square having perimeter $8 x^2-2 y+16 x y$ is _________.
View full solution →1 + x + y + xy is a polynomial having _________ terms and degree __________.
The algebraic expression for the statement 'the number of times b is contained in x' is_______.
The value of the expression $2 m^2+3 n^2 m+\frac{7}{2} n^2+8$, when $m=-2$ and $n=2$ is
- A1
- B-4
- ✓6
- D-14
Answer: C.
View full solution →Which of the following has the highest degree?
- A$x^5+2 x^5$
- B$2^8$
- ✓$-\frac{3 a^3 b^2 c}{4}$
- D$\frac{7 a^6 b^5}{-5 a^3 b^4}$
Answer: C.
View full solution →Which of the following is a polynomial?
- A$x-\frac{1}{x}$
- B$x+\sqrt{x}$
- ✓$\frac{x}{\sqrt{2}}-\frac{1}{\sqrt[3]{2}}$
- D$x^{\frac{1}{2}}+x^{\frac{-1}{2}}$
Answer: C.
View full solution →Which of the following is a binomial?
- A$a^2-6 b^2+1000$
- ✓$-7 x^2 y+x y^2+3 x^2 y$
- C$m a^2 b-(m+n) a^2 b^2+n a b^2$
- D$s t^2-s t+1$
Answer: B.
View full solution →The expression $-3 h^4+7(h-1)$ is a
- Amonomial
- Bbinomial
- ✓trinomial
- Dnone of these
Answer: C.
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