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CBSE Questions for Class 6 Maths Algebra Quiz 1 - MCQExams.com
CBSE
Class 6 Maths
Algebra
Quiz 1
State true or false:
Sum of $$2$$ and $$p$$ is $$2p$$
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True
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False
Explanation
Sum of $$2$$ and $$ p$$ will be $$2+p$$.
$$2p$$ is the product of $$2$$ and $$p$$
Hence, the given statement is false.
State whether the statement is true (T) or false (F).
An equation is true for all values of its variables.
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True
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False
Arpita's present age is thrice of Shilpa. If Shilpa's age three years ago was $$x$$. Then Arpita's present age is
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$$3(x-3)$$
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$$3x+3$$
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$$3x-9$$
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$$3(x+3)$$
$$\dfrac{9}{5}$$ is the solution of the equation $$4X-1=8$$
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0%
True
0%
False
Explanation
$$4 \times \dfrac{9}{5}=8$$
$$\dfrac{36}{5}=8$$
But,
$$\dfrac{36}{5}\neq8$$
Hence, $$\dfrac{9}{4}$$ is the solution of the given equation, not the $$\dfrac{9}{5}$$
Which of the sign should always be there in an equation?
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$$=$$
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$$\displaystyle \neq $$
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$$\displaystyle >$$
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$$\displaystyle <$$
Explanation
An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign. For example $$x=y$$ is an equation where two expressions $$x$$ and $$y$$ are equal.
Hence, $$=$$ sign should always be there in an equation.
Frame the statement "Twice a number decreased by $$119$$ equals $$373$$" into an equation.
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$$2y + 119 =373$$
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$$3y - 119=373$$
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$$2y - 119=373$$
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None of the above.
Explanation
Let $$y$$ be the number.
According to the question,
Twice a number $$y$$, decreased by $$119$$ means
$$2y-119=373$$.
So, option $$C$$ is correct.
Sumeet guessed a number $$x$$ and then he added $$30$$ to it. Give the expression for double of it.
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$$2(x+30)$$
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$$\dfrac{1}{2(x+30)}$$
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$$2x+30$$
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$$x+60$$
Explanation
According to the question,
The expression is $$x+30$$.
$$\therefore$$ double of it will be $$ 2(x+30$$).
So. option $$A$$ is correct.
Frame the given statement into a mathematical expression: "Thrice of a number increased by $$150$$."
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$$150-x$$
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$$3x-150$$
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$$3x+150$$
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None of these
Explanation
Let $$x$$ be the required number.
$$\therefore $$ thrice of a number shall be
$$\displaystyle 3\times x=3x$$.
According to the question, if it is increased by $$150$$,
the number would be
$$\displaystyle (3x+150)$$.
Frame the statement
into an equation:
Adding $$16$$ to $$3$$ times $$x $$ is $$39$$.
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$$\displaystyle 3x-16=39$$
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$$\displaystyle 3x+16=-39$$
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$$\displaystyle -3x+16=39$$
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$$\displaystyle 3x+16=39$$
Explanation
$$3 \times x=3x$$
As per the given condition,
Adding $$16$$ to
$$3x$$ results in $$16+3x=39$$
So, option $$D$$ is correct.
What is an equation?
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A statement in which the values of two mathematical expressions are equal.
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An expression that computes the values of variables.
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A mathematical expression.
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None of these
Explanation
An equation is a mathematical statement which represents two things are equal. It consists of two expressions, one on either side of equal to symbol.
In other words, an equation is a statement in which the values of two mathematical expressions are equal.
An important development in algebra in the $$16^{th}$$ century was the
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introduction of unknown symbols
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arithmetic mean
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introduction to exponents
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introduction to powers
Explanation
An important development in algebra in the $$16^{th}$$ century was the introduction to unknown symbols.
The method of finding solution by trying out various values for the variable is called
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Rrror method
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Trial and error method
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Testing method
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Checking method
Explanation
The required method is called "Trial and error method"
Convert the statement
into an equation :
Adding $$14$$ to $$9$$ times $$y$$ is $$89$$.
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$$14y+9=89$$
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$$14+9y=89$$
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$$14-9y=-89$$
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$$14+y=89$$
Explanation
According to the question,
$$9$$ times $$y$$ means $$9 \times y = 9y$$.
Adding $$14$$ to it means $$9y+14$$.
$$\therefore$$ the equation is
$$9y+14=89$$.
Algebraic expression for the statement: $$6$$ times $$a$$ taken away from $$40$$
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$$6a - 40$$
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$$40a - 6$$
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$$40 - 6a$$
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$$0$$
Explanation
Given, $$6$$ times $$a$$ takes away from $$40$$.
Required algebraic equation is given by,
$$40-6\times a=40-6a$$
In which century algebraic powers and operations were developed?
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$$16^{th}$$
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$$19^{th}$$
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$$18^{th}$$
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$$15^{th}$$
Explanation
In $$16^{th}$$ century algebraic powers and operations were developed
The history of algebra began in ancient
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German
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British
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Egypt
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China
Explanation
The history of algebra began in ancient Egypt.
What is known as the history of the theory of equations?
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mensuration
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trigonometry
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linear equations
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algebra
Explanation
Algebra is known as the history of the theory of equations.
The word algebra is derived from _____ language.
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English
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Arabic
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French
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Spanish
Explanation
The word algebra is derived from the language Arabic.
Convert this statement in mathematical form.
Twice of remainder when 8 is subtracted from a number is 10.
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$$2x-8=10$$
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$$2(x-8)=10$$
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$$\dfrac{2x}{8}=10$$
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$$2x-10=8$$
Explanation
let number be $$x$$,then remainder$$=x-8$$
so $$2(x-8)=10$$
$$12$$ times a number is $$4$$ less than the $$5$$ times the number. Write an equation representing the statement given.
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$$12x -4 = 5x$$
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$$12x+4 = 5x$$
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$$12+ 4x= 5$$
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$$12 -4x= 5$$
Explanation
Let the number be $$x$$
$$\Rightarrow 12\times x=5\times x-4 $$
$$\Rightarrow 12x+4=5x$$
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