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1 Mark Question

Question 511 Mark
Identify the like terms in the following algebraic expressions:$\text{3x}+\text{4xy}-2\text{yz}+\frac{5}{2}\text{zy}$
Answer
The like terms in the given algebraic expressions are as follows:
The like terms in the given algebraic expressions are -2yz and $\frac52\text{zy}.$
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Question 521 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:7 + 5
Answer
The monomial are as follows:
7 + 5 = 12 is a monomial expression as it contains one term only.
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Question 531 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$2 a^2-b^2-3 a b+6$
Answer
We have,
$2 a^2-b^2-3 a b+6$
$=2 a^2-b^2-(3 a b-6)$
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Question 541 Mark
Write all the terms of the following algebraic expressions:
2x - 3
Answer
The terms of the given algebraic expressions are as follows:
2x and -3 are the terms of the given algebraic expression.
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Question 551 Mark
IdeIdentify the like terms in the following algebraic expressions: $a^2+b^2-2 a^2+c^2+4 a$
Answer
The like terms in the given algebraic expressions are as follows: The like terms in the given algebraic expressions are $a^2$ and $-2 a^2$.
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Question 561 Mark
Evaluate the following algebraic expressions for x = 1, y = -1, z = 2, a = -2, b = 1, c = -2:
axy + byz + cxy
Answer
We have x = 1, y = -1, z = 2, a = -2, b = 1 and c = -2.Thus,
axy + byz + cxy
= (-2) × 1 × -1 + 1 × -1 × 2 + (-2) × 1 × (-1)
= 2 + (-2) + 2
= 4 - 2
= 2
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Question 571 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions: $x ^3+ y ^3+ z ^3$
Answer
The trinomial are as follows: $x^3+y^3+z^3$ is a trinomial expression as it contains three terms.
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Question 581 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions: $x^3+y^3+z^3+3 x y z$
Answer
The quadrinomial are as follows: $x^3+y^3+z^3+3 x y z$ is a quadrinomial expression as it contains four terms.
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Question 591 Mark
Evaluate the following expressions for x = -2, y = -1, z = 3:
$\frac{\text{x}}{\text{y}}+\frac{\text{y}}{\text{z}}+\frac{\text{z}}{\text{x}}$
Answer
$\frac{\text{x}}{\text{y}}+\frac{\text{y}}{\text{z}}+\frac{\text{z}}{\text{x}}$$=\frac{-2}{-1}+\frac{-1}{3}+\frac{3}{-2}$
$=\frac{12-2-9}{6}=\frac{1}{6}$
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Question 611 Mark
Write the coefficient of 2 in the following:
$5 x^2 y z$
 
Answer
The coefficient of $x^2$ is as follows:
The numerical coefficient of $x^2$ is $5 y z$.
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1 Mark Question - Page 2 - Maths STD 7 Questions - Vidyadip