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CBSE Questions for Class 6 Maths Algebra Quiz 2 - MCQExams.com
CBSE
Class 6 Maths
Algebra
Quiz 2
$$3251+587+369-$$? $$=3007$$
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$$1250$$
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$$1300$$
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$$1375$$
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$$1200$$
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None of these
Explanation
$$3251$$ Let $$4207-x=3007$$
+$$587$$ Then, $$x=4207-3007=1200$$
+$$369$$
---------------
$$4207$$
---------------
Who applied algebra to astronomy?
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Brahmagupta
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Diophantus' Arithmetica
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Aryabhatt
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Hermann Grassman
Explanation
Brahmagupta applied algebra to astronomy.
Three times the number is $$300$$. Convert this statement in mathematical form.
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$$3x=100$$
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$$3+x=300$$
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$$3 =300+x$$
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$$3x=300$$
Explanation
$$3$$ times the number is $$300.$$
$$\Rightarrow$$ Let the number $$=x$$
$$\Rightarrow 3$$ times the number $$=3x$$
$$\Rightarrow$$ This is equal to $$3x=300.$$
Hence, the answer is $$3x=300.$$
The algebraic expression for the statement '$$x$$ multiplied by itself' is _____ .
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$$x$$
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$${x}^{3}$$
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$$x\times x$$
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$$2x$$
Explanation
$$\Rightarrow$$ $$x$$ multiplied by itself.
$$\Rightarrow$$ $$x\times x$$
$$\Rightarrow$$
The algebraic expression for the statement '$$x$$ multiplied by itself' is
$$x\times x$$
At $$7:00$$ a.m., the temperature was $$-6^oF$$. The temperature was $$8^oF$$ higher at noon. Which one of the following expression can be used to calculate the temperature at noon ?
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$$ (-6 + 8)^oF$$
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$$ (-6 - 8)^oF$$
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$$ (8 + 6)^oF$$
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$$ (8 +(-6))^oF$$
Explanation
Temperature at $$7 : 00$$ a.m. is $$-6^{\circ} F$$
At noon temperature increases by $$8^{\circ} F$$, hence new temperature is $$(-6+8)^{\circ} F$$
Which of the following equations has $$x = 2$$ as a solution?
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$$x + 2 = 5$$
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$$x - 2 = 0$$
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$$2x + 1= 0$$
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$$x + 3 = 6$$
Explanation
$$\textbf{The value of the variable in an equation which satisfies the equation is called a solution to the}$$ $$\textbf{ equation.}$$
Let us now try and check the value of $$x=2$$ for all the four given equations
For option (A)
$$\begin{aligned}&x+2=5 \\&2+2 \neq 5\end{aligned}$$
$$\textbf{ Does not satisfy}$$
For option (B)
$$\begin{aligned}&x-2=0 \\&2-2=0\end{aligned}$$
$$\textbf{ Satisfies.}$$
For option (C)
$$\begin{aligned}&2 x+1=0 \\&(2 \times 2)+1 \neq 0\end{aligned}$$
$$\textbf{ Does not satisfy}$$
For option (D)
$$\begin{aligned}&x+3=6 \\&2+3 \neq 6\end{aligned}$$
$$\textbf{ Does not satisfy}$$
$$\textbf{Clearly option B is correct as it gives us the Left hand side equal to the Right hand side.}$$
Which of these could be solved by using the sentence $$'A-5'$$?
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Ishan is $$5$$ times as old as Sanjit. If $$A$$ is Sanjit's age in years, how old is Ishan?
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Tarun is $$5$$ years younger than Anny. If $$A$$ is Anny's age in years, how old is Tarun?
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Naman is one-fifth as old as Aman, If $$A$$ is Naman's age, how old is Aman?
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Geet is $$5$$ years older than Suhana. If $$A$$ is Suhana's age in years, how old is Geet?
Explanation
(a) Age of Ishan$$=5A$$
(b) Age of Rarun$$=A-5$$
(c) Age of Aman$$=5A$$
(d) Age of Geet $$=A+5$$
Hence the correct answer is option B.
Is this an equation $$21=z+11$$
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$$Yes$$
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$$NA$$
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$$No$$
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$$15$$
Explanation
$$21=z+11$$ is a equation
The substraction of 3 from 2x is represent as
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2x-3
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3-2x
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2x+3
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$$\frac{2x}{3}$$
Explanation
Subtraction $$3$$ from $$2x=2x-3$$
The total number of planets of Sun can be denoted by the variable $$n$$.
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True
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False
Explanation
The total number of planets of Sun is fixed, so it is not a variable but is a constant.
So, we cannot denote the number of planets of Sun by the variable n.
$$\textbf{Hence, the given statement is False.}$$
The subtraction of $$5$$ times of $$y$$ from $$x$$ is
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$$5x-y$$
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$$y-5x$$
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$$x-5y$$
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$$5y-x$$
Explanation
$$\bullet$$ 5 times of y is $$5y$$
$$\bullet$$ Subtraction of $$5y$$ from x is $$x-5y$$
$$\textbf{Hence, the correct option is (c)}$$
In algebra, letters may stand for
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Known quantities
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Unknown quantities
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Fixed numbers
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None of these
Explanation
In algebra, letters may stand for unknown quantities also known as $$\textbf{variables}$$
$$\textbf{Hence, Option B is correct.}$$
The graph of the linear equation $$3x + 5y = 15$$ cuts the $$x-$$axis at the point
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(5, 0)
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(3, 0)
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(0, 5)
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(0, 3)
Explanation
For graph to cut x-axis;
we will substitute $$y=0$$ in $$3x+5y=15$$
as equation of x-axis is $$y=0$$.
So; $$3x+5(0) = 15$$
$$\Rightarrow 3x=15$$
$$\Rightarrow x = 5$$
$$\therefore $$ Point is $$(x, o) = (5,0)$$
$$\boxed{\text{Hence, answer is (a)}}$$
State true or false:
The statement "$$x$$ multiplied by $$5$$ and added to $$10$$" can be represented as
$$10+5x$$
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True
0%
False
Explanation
Here, the given statement is $$x$$ multiplied by $$5$$ and added to $$10$$.
The word '
multiplied by'
suggests multiplication that is
$$x$$ multiplied by $$5$$ means $$x\times 5=5x$$
and the word '
added to
'
suggests addition. So, the verbal expression
$$x$$ multiplied by $$5$$ and added to $$10$$
can be represented by the algebraic expression
$$10+5x$$
.
Hence, the statement
$$x$$ multiplied by $$5$$ and added to $$10$$
can be rewritten as
$$10+5x$$
.
So, $$TRUE$$
$$x = 5, y = 2$$ is a solution of the linear equation
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$$x + 2 y = 7$$
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$$5x + 2y = 7$$
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$$x + y = 7$$
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$$5 x + y = 7$$
Explanation
$$\textbf{Step 1: Check which of the equation passes through (5,2).}$$
$$\text{The solution should satisfy the appropriate equation.}$$
$$\text{So, let us investigate each option by substituting }x=5$$ & $$y=2$$
$$(A)$$
$$x+2y=7$$.
$$\text{L.H.S. }=5+2\times 2=9\neq$$ $$\text{R.H.S.}$$
$$ \therefore$$ $$\text{It is not the appropriate equation.}$$
$$(B)$$ $$5x+2y=7$$
$$\text{L.H.S. }=5\times 5+2\times 2=29\neq$$ $$\text{R.H.S.}$$
$$\therefore $$ $$\text{It is not the appropriate equation.}$$
$$(C)$$ $$x+y=7$$
$$\text{L.H.S. }=5+2=7=$$ $$\text{R.H.S}$$
$$\therefore$$ $$\text{It is the appropriate equation.}$$
$$(D)$$ $$ 5x+y=7$$
$$\text{L.H.S. }=5\times 5+2=27\neq$$ $$\text{R.H.S.}$$
$$\therefore $$ $$\text{It is not the appropriate equation.}$$
$$\textbf{Hence, option C is correct.}$$
The following expressions in statement is given as:
$$2y-5$$
5 is subtracted from 2 times of y
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True
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False
Explanation
Consider the parenthesis as shown in the above image to write a statement
using variables, constants and arithmetic operations:
Here, the given statement is $$5$$ is subtracted from $$2$$ times of $$y$$.
The word '
subtracted from
'
suggests subtraction
and the word '
times
'
suggests multiplication
that is
$$2$$ times of $$y$$
means $$2\times y=2y$$
. So, the verbal expression
$$5$$ is subtracted from $$2$$ times of $$y$$
can be represented by the algebraic expression
$$2y-5$$
.
Hence, the statement
$$5$$ is subtracted from $$2$$ times of $$y$$ can be rewritten as
$$2y-5$$
.
State true or false:
If we multiply both sides of an equation by zero, then we can create an equivalent equation.
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0%
True
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False
Explanation
Let the equation be $$y=7$$
By multiplying zero to both sides, we will get
$$y \times 0 = 7 \times 0$$
$$0=0$$
Hence, this is a true statement.
State true/false:
The mathematical expression corresponding to statement, $$8$$ is subtracted from $$y$$
is given as below:
$$y-8$$
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0%
True
0%
False
Explanation
Here, the given statement is $$8$$ subtracted from $$y$$.
The word '
subtracted from
' suggests subtraction. So, the verbal
expression $$8$$
subtracted from
$$y$$
can be represented by
the algebraic expression $$y-8$$.
Hence, the statement
$$8$$ subtracted from $$y$$
can be rewritten as $$y-8$$.
The algebraic expression for the statement "Product of $$x$$ and $$a $$ subtracted from the
product of $$b$$ and $$y$$'' is
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$$ax-by$$
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$$x+a-by$$
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$$by-ax$$
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$$xa-b-y$$
Explanation
Product of $$ b$$ and $$y$$ = $$by$$ ..... $$(1)$$
Product of $$a$$ and $$x$$ = $$ax$$ .....$$(2)$$
We need $$(1)$$ - $$(2)$$; wiz. $$by-ax$$
The mathematical expression for the given statement, five added to the three times of $$z$$ is given as
$$5z+3$$
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0%
True
0%
False
Explanation
Here, the given statement is five added to the three times of $$z$$.
The word '
added to'
suggests addition
and the word '
times
'
suggests multiplication, thus
three times of $$z$$ means $$3\times z=3z$$.
So, the verbal expression
five added to the three times of $$z$$
can be represented by the algebraic expression
$$3z+5$$
.
Hence, statement
five added to the three times of $$z$$
can be rewritten as
$$3z+5$$
.
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