MCQ Questions for Class 6 Maths Algebra Quiz 2

$3251+587+369-$ ?

$=3007$

0%
$1250$
0%
$1300$
0%
$1375$
0%
$1200$
0%
None of these

Explanation

$3251$ Let

$4207-x=3007$
+

$587$ Then,

$x=4207-3007=1200$
+

$369$
---------------

$4207$
---------------

Who applied algebra to astronomy?

0%
Brahmagupta
0%
Diophantus' Arithmetica
0%
Aryabhatt
0%
Hermann Grassman

Three times the number is

$300$ . Convert this statement in mathematical form.

0%
$3x=100$
0%
$3+x=300$
0%
$3 =300+x$
0%
$3x=300$

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 _____ .

0%
$x$
0%
${x}^{3}$
0%
$x\times x$
0%
$2x$

Explanation

$\Rightarrow$

$x$ multiplied by itself.

$\Rightarrow$

$x\times x$

$\Rightarrow$ The algebraic expression for the statement '

$x$ multiplied by itself' is

$x\times x$

$7:00$ 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 ?

0%
$(-6 + 8)^oF$
0%
$(-6 - 8)^oF$
0%
$(8 + 6)^oF$
0%
$(8 +(-6))^oF$

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?

0%
$x + 2 = 5$
0%
$x - 2 = 0$
0%
$2x + 1= 0$
0%
$x + 3 = 6$

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

$'A-5'$ ?

0%
Ishan is $5$ times as old as Sanjit. If $A$ is Sanjit's age in years, how old is Ishan?
0%
Tarun is $5$ years younger than Anny. If $A$ is Anny's age in years, how old is Tarun?
0%
Naman is one-fifth as old as Aman, If $A$ is Naman's age, how old is Aman?
0%
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

$21=z+11$

0%
$Yes$
0%
$NA$
0%
$No$
0%
$15$

Explanation

$21=z+11$ is a equation

The substraction of 3 from 2x is represent as

0%
2x-3
0%
3-2x
0%
2x+3
0%
$\frac{2x}{3}$

Explanation

Subtraction

$3$ from

$2x=2x-3$

The total number of planets of Sun can be denoted by the variable

$n$ .

0%
True
0%
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

0%
$5x-y$
0%
$y-5x$
0%
$x-5y$
0%
$5y-x$

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

0%
Known quantities
0%
Unknown quantities
0%
Fixed numbers
0%
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

0%
(5, 0)
0%
(3, 0)
0%
(0, 5)
0%
(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

$10+5x$

0%
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

0%
$x + 2 y = 7$
0%
$5x + 2y = 7$
0%
$x + y = 7$
0%
$5 x + y = 7$

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

0%
True
0%
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

$2y-5$ .

1222155_703763_ans_c41fc8e71e4047dbad7c5a70042fa7f9.png

State true or false:

If we multiply both sides of an equation by zero, then we can create an equivalent equation.

0%
True
0%
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:

$y-8$

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

0%
$ax-by$
0%
$x+a-by$
0%
$by-ax$
0%
$xa-b-y$

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

$5z+3$

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

$3z+5$ .

CBSE Questions for Class 6 Maths Algebra Quiz 2 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

CBSE Questions for Class 6 Maths Algebra Quiz 2 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

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