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MATHS M.C.Q. [1 Marks Each]

Algebraic Expressions · Gujarat Board (GSEB) STD 7 (GSEB - English Medium). 16 questions.

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M.C.Q. [1 Marks Each]

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16 questions · timed · auto-graded

MCQ 11 Mark
Which of the following is a pair of like terms?
  • A
    $-7 x y^2 z,-7 x^2 y z$
  • ✓
    $-10 x y z^2, 3 x y z^2$
  • C
    $3 x y z, 3 x^2 y 2 z^2$
  • D
    $4 x y z^2, 4 x^2 y z$
Answer
Correct option: B.
$-10 x y z^2, 3 x y z^2$

Like terms are those terms, having same algebraic factor.
Hence, $-10 a y z^2$ and $3 a y z^2$ are like terms as they contain $x y z^2$ same factor.

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MCQ 21 Mark
The side length of the top of square table is $x$. The expression for perimeter is:
  • A
    $4 + x$
  • B
    $2x$
  • ✓
    $4x$
  • D
    $8x$
Answer
Correct option: C.
$4x$
Given, side length of a square table $= x$
$\therefore\ $Perimeter of a square $= 4x$
Side $= 4 × x = 4x.$
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MCQ 31 Mark
The expression for the number of diagonals that we can make from one vertex of a $n$ sided polygon is:
  • A
    $2n + 1$
  • B
    $n - 2$
  • C
    $5n + 2$
  • ✓
    $n - 3$
Answer
Correct option: D.
$n - 3$
Since, vertex is formed by joining two sides. Diagonal is line segment joining the two opposite vertex.
So, number of diagonal formed by one vertex $= n - 3.$
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MCQ 41 Mark
$123 x^2 y-138 x^2 y$ is a like term of:
  • A
    $10 x y$
  • B
    $-15 x y$
  • C
    $-15 x y^2$
  • ✓
    $10 x^2 y$
Answer
Correct option: D.
$10 x^2 y$

We have, $123 x^2 y-138 x^2 y=-15 x^2 y$
Hence, it is like term of $10 x^2 y$ as both contain $x^2 y$.

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MCQ 51 Mark
Factors of $-5 x^2 y^2 z$ are:
  • A
    $-5 \times x \times y \times z$
  • B
    $-5 \times x^2 \times y \times z$
  • ✓
    $-5 \times x \times x \times y \times y \times z$
  • D
    $-5 \times x \times y \times z^2$
Answer
Correct option: C.
$-5 \times x \times x \times y \times y \times z$

$-5 x^2 y^2 z$ can be written as $-5 \times x \times x \times y \times y \times z$

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MCQ 61 Mark
Coefficient of $x$ in $-9 x y^2 z$ is:
  • A
    $9 y z$
  • B
    $-9 y z$
  • C
    $9 y^2 z$
  • ✓
    $-9 y^2 z$
Answer
Correct option: D.
$-9 y^2 z$

Coefficient of $x$ in $-9 x^2 y z=-9 y^2 z$

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MCQ 71 Mark
$-b - 0$ is equal to:
  • ✓
    $-1 \times b$
  • B
    $1 - b - 0$
  • C
    $0 - (-1) \times b$
  • D
    $-b - 0 - 1$
Answer
Correct option: A.
$-1 \times b$
$i.$ We have, $-b - 0 = -b$
$ii. -1 \times b = - b$
$iii. 1 - b - 0 = 1 - b$
$iv. 0 - (-1) \times b = 0 + b = b$
$v. -b - 0 - 1 = -b - 1$
Hence, option $(a)$ is correct.
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MCQ 81 Mark
Identify the binomial out of the following:
  • A
    $3 x y^2+5 y-x^2 y$
  • B
    $x^2 y-5 y-x^2 y$
  • C
    $x y+y z+z x$
  • ✓
    $3 x y^2+5 y-x y^2$
Answer
Correct option: D.
$3 x y^2+5 y-x y^2$

We know that, an algebraic expression containing two terms is called binomial. So, taking option $(d)$, $3 x y^2+5 y-x y^2=2 x^2 y+5 y$ As it contains only two terms.
Hence it is known as binomial.

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MCQ 91 Mark
The number of scarfs of length half metre that can be made from $y$ metres of cloth is:
  • ✓
    $2\text{y}$
  • B
    $\frac{\text{y}}{2}$
  • C
    $\text{y}+2$
  • D
    $\text{y}+\frac{1}{2}$
Answer
Correct option: A.
$2\text{y}$
We have
Length of $1$ scarf $=\frac{1}{2}\text{m}$
So, number of scarf’s which can be made from $y$ meters $=\text{y}\Big(\frac{1}{2}\Big)=2\text{y}$
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MCQ 101 Mark
The length of a side of square is given as $2x + 3$. Which expression represents the perimeter of the square?
  • A
    $2x + 16$
  • B
    $6x + 9$
  • C
    $8x + 3$
  • ✓
    $8x + 12$
Answer
Correct option: D.
$8x + 12$
Given, side of the square $= (2x + 3)$
Perimeter of square $= 4 x$ (Side)
$= 4 \times (2x + 3)$
$= 8x + 1$
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MCQ 111 Mark
The subtraction of $5$ times of $y$ from $x$ is:
  • A
    $5x - y$
  • B
    $y - 5x$
  • ✓
    $x - 5y$
  • D
    $5y - x$
Answer
Correct option: C.
$x - 5y$
$5$ times of $y = 5y$
Now, subtraction of $5$ times of $y$ from $x$ is written as $x - 5y.$
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MCQ 121 Mark
The value of $3 x^2-5 x+3$ when $x = 1$ is:
  • ✓
    $1$
  • B
    $0$
  • C
    $-1$
  • D
    $11$
Answer
Correct option: A.
$1$
Putting $x = 1$ in given equation we get $3 x^2-5 x+3=3(1)^2-5(1)+3=3-5+3=1$
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MCQ 131 Mark
The terms of expression $4 x^2-3 x y$ are:
  • ✓
    $4 x^2$ and $-3 x y$
  • B
    $4 x^2$ and $3 x y$
  • C
    $4 x^2$ and $-x y$
  • D
    $x^2$ and $x y$
Answer
Correct option: A.
$4 x^2$ and $-3 x y$
Terms in the expression $4 x^2-3 x y$ are $4 x^2$ and $-3 x y$.
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MCQ 141 Mark
Number of terms in the expression $3 x^2 y-2 y^2 z-z^{2 x}+5$ is:
  • A
    $2$
  • B
    $3$
  • ✓
    $4$
  • D
    $5$
Answer
Correct option: C.
$4$
The terms in the expression are $3 x^2 y,-2 y^2 z,-z^2 x$ and $5.$
Hence, total number of terms is $4$.
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MCQ 151 Mark
The sum of $x^4-x y+2 y^2$ and $-x^4+x y+2 y^2$ is:
  • ✓
    Monomial and polynomial in $y$.
  • B
    Binomial and Polynomial.
  • C
    Trinomial and polynomial.
  • D
    Monomial and polynomial in $x$.
Answer
Correct option: A.
Monomial and polynomial in $y$.
$\text { Required sum }=\left(x^4-x y+2 y^2\right)+\left(-x^4+x y+2 y^2\right)$
$=x^4-x y+2 y^2-x^4+x y+2 y^2=\left[\left(x^4+\left(-x^4\right)\right]+(-x y+x y)+\left(2 y^2+2 y^2\right)\right.$
$=0+0+4 y^2=4 y^2$
$4 y^2$ is a monomial and polynomial in $y$.
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MCQ 161 Mark
An algebraic expression containing three terms is called a:
  • A
    Monomial.
  • B
    Binomial.
  • ✓
    Trinomial.
  • D
    All of these.
Answer
Correct option: C.
Trinomial.
An algebraic expression containing one term is called monomial, two terms is called binomial and three terms is called trinomial.
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