Algebraic Expressions - ICSE STD 8 MATHS Questions

Subtract : $4xy^2$ from $3xy^2$

In the polynomial, given below, separate the like terms :
$y^2z^3, xy^2z^3, −5x^2yz, −4y^2z^3, −8xz^3y^2, 3x^2yz$ and $2z^3y^2$

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Q 3[1 Mark Question Answer]1 Mark

In the polynomial, given below, separate the like terms:
$3 x y,-4 y x^2, 2 x y^2, 2.5 x^2 y,-8 y x,-3.2 y^2 x$ and $x^2 y$

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Q 4[1 Mark Question Answer]1 Mark

In $\frac{5}{7} x y^2 z^3$, write the coefficient of $y z^2$

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Q 5[1 Mark Question Answer]1 Mark

$\ln \frac{5}{7} x y^2 z^3$, write the coefficient of $5 x y z$

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Q 6[2 Mark Question Answer]2 Marks

Simplify : $a^2 − 2a + {5a^2 − (3a + 4a^2)}$

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Q 7[2 Mark Question Answer]2 Marks

Divide : $ 8x − 10y + 6c by 2$

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Q 8[2 Mark Question Answer]2 Marks

Divide : $63\ a^4b^5c^6 by −9\ a^2b^4c^3$

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Q 9[2 Mark Question Answer]2 Marks

Divide: $−24x^4d^3 by −2x^2d^5$

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Q 10[2 Mark Question Answer]2 Marks

Divide: $24x^3y^3 by −8y^2$

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Q 11[3 marks sum]3 Marks

Simplify:$a^5 ÷ a^3+ 3a \times 2a$

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Q 12[3 marks sum]3 Marks

Simplify: $3 \mathrm{a} \times[8 \mathrm{~b} \div 4-6\{\mathrm{a}-(5 \mathrm{a}-\overline{3 \mathrm{~b}-2 \mathrm{a}})\}]$

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Q 13[3 marks sum]3 Marks

Simplify: $(y^3 − 5y^2) ÷ y \times (y − 1)$

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Q 14[3 marks sum]3 Marks

Simplify: $(x^5 ÷ x^2) \times y^2\times y^3$

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Q 15[3 marks sum]3 Marks

Simplify: $x^5 ÷ (x^2 \times y^2) \times y^3$

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Q 16[4 marks sum]4 Marks

Simplify: $7x + 4 \{x^2 \div (5x \div 10)\} − 3 \{2 − x^3 \div (3x^2 \div x)\}$

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Q 17[4 marks sum]4 Marks

Simplify : $3 x-[4 x-\overline{3 x-5 y}-3\{2 x-(3 x-\overline{2 x-3 y})\}]$

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Q 18[4 marks sum]4 Marks

Simplify : $2[6+4\{m-6(7-\overline{n+p})+q\}]$

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Q 19[4 marks sum]4 Marks

Divide $x^6 – y^6$ by the product of $x^2 + xy + y^2$ and $x – y.$

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Q 20[4 marks sum]4 Marks

The area of a rectangle is $x^3 – 8x + 7$ and one of its sides is $x – 1$. Find the length of the adjacent side.

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Q 21[5 marks sum]5 Marks

The product of two numbers$-$is $16 x^4-1$. If one number is $2 x-1$, find the other.

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Q 22[5 marks sum]5 Marks

Find the quotient and the remainder when : $3 x^4+6 x^3-6 x^2+2 x-7$ is divided by $x-3$. verify your answer.

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Q 23[5 marks sum]5 Marks

Find the quotient and the remainder when : $a^3− 5a^2 + 8a + 15$ is divided by $a + 1$. verify your answer.

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Q 24[5 marks sum]5 Marks

If $x = 6a + 86 + 9c\ ;\ y = 2b – 3a – 6c$ and $z = c – b + 3a$ ; find : $(i)\ x + y + z\ (ii)\ x – y + z\ (iii)\ 2x – y – 3z\ (iv)\ 3y – 2z – 5x$

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Algebraic Expressions question types

Algebraic Expressions questions

Generate a Algebraic Expressions paper free

Algebraic Expressions MATHS - Algebraic Expressions

Algebraic Expressions question types

Algebraic Expressions questions

Generate a Algebraic Expressions paper free