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MATHS 1 Marks Question

Algebraic Expressions · Gujarat Board (GSEB) STD 7 (GSEB - English Medium). 43 questions.

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Question 11 Mark
Describe how the following expressions are obtained?
(ii) $x^2 y$
Answer
In $x^2 y$, first obtain $x^2$ by multiplying the variable $x$ by itself and then multiply $x^2$ by $y$ to get the expression $x^2 y$.
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Question 21 Mark
Describe how the following expressions are obtained?
(i) 7xy + 5
Answer
In 7xy + 5, first multiply two variables x and y to get x × y = xy, then multiply their product by 7 to get 7xy and add 5 to 7xy to get the expression 7xy +5.
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Question 31 Mark
When a = 0 and b = -1 , find the value of the given expressions.
$a^2+a b+2$
Answer
Do same as above Ans. 2
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Question 41 Mark
When a = 0 and b = -1 , find the value of the given expressions.
$2 a^2 b+2 a b^2+a b$
Answer
Do same as above Ans. 0
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Question 51 Mark
When a = 0 and b = -1 , find the value of the given expressions.
2a + 2b
Answer
When a = 0 and b = -1 then
the value of 2a + 2b = 2 × (0) + 2(-1) = 0 - 2 = -2
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Question 61 Mark
Find the value of the following expressions when x = - 1
(- x + 2
Answer
On putting x = - in - x + 2 we get
-x + 2 = - (- 1) + 2 = 1 + 2 = 3
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Question 71 Mark
Find the value of the following expressions when x = - 1
2x - 7
Answer
On putting x = - in * 2x - 7 we get
2x - 7 = 2(- 1) - 7 = - 2 - 7 = - 9
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Question 81 Mark
If p = - 2 then find the value of
4p + 7
Answer
(i) On putting p = -2 in 4p + 7, we get
4p + 7 = 4(- 2) + 7 = - 8 + 7 = -1
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Question 141 Mark
Classify into monomials, binomials and trinomials.
$1+x+x^2$
Answer
Expression $1+x+x^2$ is a trinomial because it contains three unlike terms $1, x$ and $x^2$.
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Question 151 Mark
Classify into monomials, binomials and trinomials.
$z^2+z$
Answer
Expression $z^2+z$ is a binomial because it contains two unlike terms $z^2$ and $z$.
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Question 161 Mark
Classify into monomials, binomials and trinomials.
$a^2+b^2$
Answer
Expression $a^2+b^2$ is a binomial because it contains two unlike terms $a^2$ and $b^2$.
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Question 171 Mark
Classify into monomials, binomials and trinomials.
$z^2-3 z+8$
Answer
Expression $z^2-3 z+8$ is a trinomial because it contains three unlike terms $z^2,-3 z$ and 8.
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Question 181 Mark
Classify into monomials, binomials and trinomials.
7mn
Answer
Expression 7mn is a monomial because it contains only one term 7mn.
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Question 191 Mark
Classify into monomials, binomials and trinomials.
$4 p^2 q-4 p q^2$
Answer
Expression $4 p^2 q-4 p q^2$ is a binomial because it contains two unlike terms $4 p^2 q$ and $-4 p q^2$.
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Question 201 Mark
Classify into monomials, binomials and trinomials.
5 - 3t
Answer
Expression 5 - 3t is a binomial because it contains two unlike terms 5 and-3t.
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Question 211 Mark
Classify into monomials, binomials and trinomials.
ab - a - b
Answer
Expression ab - a - b is a trinomial because it contains three unlike terms ab, -a and-b.
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Question 221 Mark
Classify into monomials, binomials and trinomials.
100
Answer
Expression 100 is a monomial because it contains only one constant term 100.
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Question 231 Mark
Classify into monomials, binomials and trinomials.
x + y - xy
Answer
Expression x + y - xy is a trinomial because it contains three unlike terms x, y and -xy.
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Question 241 Mark
Classify into monomials, binomials and trinomials.
$y^2$
Answer
Expression $y^2$ is a monomial because it contains only one term $y^2$.
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Question 251 Mark
Classify into monomials, binomials and trinomials.
4y - 7z
Answer
Expression 4y - 7z is a binomial because it contains two unlike terms 4 y and-7z.
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Question 261 Mark
Identify terms which contain x and give the coefficient of x.
$7 x+x y^2$
Answer
In the expression $7 x+x y^2$, the terms which contains $x$ are $7 x$ and $x y^2$, so the coefficients of $x$ are 7 and $y^2$, respectively.
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Question 271 Mark
Identify terms which contain x and give the coefficient of x.
$12 x y^2+25$
Answer
In the expression $12 x y^2+25$, the term which contain $x$ are $12 x y^2$, so the coefficient of $x$ is $12 y^2$.
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Question 281 Mark
Identify terms which contain x and give the coefficient of x.
1 + x + xy
Answer
In the expression I + x + xy the terms which contain x are x and xy, so the coefficients of x are 1 and y, respectively.
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Question 291 Mark
Identify terms which contain x and give the coefficient of x.
5 + z + zx
Answer
In the expression 5 + z + zx the term which contains x is zx, so the coefficient of x is z.
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Question 301 Mark
Identify terms which contain x and give the coefficient of x.
x + y + 2
Answer
In the expression x + y + 2 the term which contains x is x, so the coefficient of x is 1.
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Question 311 Mark
Identify terms which contain x and give the coefficient of x.
$13 y^2-8 y x$
Answer
In the expression $13 y^2-8 y x$, the term which contains x is -8 yx, so the coefficient of x is -8 y.
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Question 321 Mark
Identify terms which contain x and give the coefficient of x.
$y^2 x+y$
Answer
In the expression $y^2 x+y$, the term which contains x is y^2 x.
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Question 331 Mark
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
Sum of numbers a and b subtracted from their product.
Answer
We know that sum of numbers a and b is (a + b) and their product is ab. Then, subtract (a + b) from ab, we get ab - (a + b).
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Question 341 Mark
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
Product of numbers y and z subtracted from 10.
Answer
We know that the product of y and z is yz. Then, subtract yz from 10, we get 10 yz.
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Question 351 Mark
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
Number 5 added to three times the product of numbers m and n.
Answer
We know that the product of numbers m and nis mn and its three times is 3mn. Then, add 5 in this product, we get 3mn + 5.
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Question 361 Mark
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
Numbers x and y both squared and added.
Answer
We know that square of number x is $x^2$ and y is $y^2$.
Then, their sum = $x^2+y^2$.
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Question 371 Mark
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
One-fourth of the product of numbers pand q.
Answer
We know that the product of numbers p and q is pq.
Then, one-fourth of the product = $\frac{1}{4} p q$.
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Question 381 Mark
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
The number z multiplied by itself.
Answer
The number z multiplied by itself = $z \times z=z^2$.
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Question 391 Mark
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
One-half of the sum of numbers x and y.
Answer
We know that sum of numbers x and y is (x + y).
Then, one-half of the sum = $\frac{1}{2}(x+y)$.
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Question 401 Mark
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
Subtraction of z from y.
Answer
Subtraction of z from y = y - z
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Question 411 Mark
If x = 1 y = 1 and z = - 2 then what will the value of expression $x^3+y^3+z^3-3 x y z$?
Answer
For $x=1, y=1$ and $z=-2, x^3+y^3+z^3-3 x y z$
$\begin{array}{l}=(1)^3+(1)^3+(-2)^3-3 \times 1 \times 1 \times(-2) \\ =1+1-8+6=0\end{array}$
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Question 421 Mark
Write the like terms in the expression $4 x^2 y z+7 x y^2 z-14 x y z+7 x^2 y z^2+14 x y z^2$$-15 x y^2 z+10 z x y^2+13 y^2 x z$.
Answer
The like terms are $7 x y^2 z,-15 x y^2 z, 10 z x y^2, 13 y^2 x z$
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Question 431 Mark
Identify the numerical coefficient of term, other than constant in $6-7 m^2$.
Answer
Given, expression $6-7 m^2$
Term other than constant is $-7 m^2$.
So, numerical coefficient is -7.
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