Simple Equations Test

Result

Simple Equations Test - 16

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Frame the statement "Twice a number decreased by $$119$$ equals $$373$$" into an equation.

A
$$2y + 119 =373$$

B
$$3y - 119=373$$

C
$$2y - 119=373$$

D
None of the above.

Solution

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.
Question 2
1 / -0

$$12, a, 6, 8, 2, 14$$
The average (arithmetic mean) of the numbers listed above is $$6$$. Calculate the value of $$a$$.

A
$$-36$$

B
$$-6$$

C
$$0$$

D
$$6$$

E
$$36$$

Solution

We know that average of a bunch of numbers is the sum of the numbers divided by how many numbers in the bunch.
We can set up an equation for the average from the given question,
$$\Rightarrow \dfrac { 12+a+6+8+2+14 }{ 6 } =6$$
$$\Rightarrow \dfrac { 42+a }{ 6 } =6$$
$$\Rightarrow 42+a=36$$
$$\Rightarrow a=-6$$
Question 3
1 / -0

Frame the given statement into a mathematical expression: "Thrice of a number increased by $$150$$."

A
$$150-x$$

B
$$3x-150$$

C
$$3x+150$$

D
None of these

Solution

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 $$\displaystyle (3x+150)$$.
Question 4
1 / -0

What is an equation?

A
A statement in which the values of two mathematical expressions are equal.

B
An expression that computes the values of variables.

C
A mathematical expression.

D
None of these

Solution

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.
Question 5
1 / -0

If the average of $$3, 4$$, and $$x$$ is $$2$$, then find $$x$$.

A
$$-15$$

B
$$-1$$

C
$$-8$$

D
$$-6$$

E
$$-2$$

Solution

Given: The average of $$3,4$$ and $$x$$ is $$2$$
we have to find $$x$$
$$\Rightarrow \dfrac { 3+4+x }{ 3 } =2$$
$$\Rightarrow 7+x=6$$
$$\Rightarrow x=-1$$
$$x$$ is $$-1$$
Hence, the answer is option $$B$$.
Question 6
1 / -0

Given that $$5x-2\left( 6+7x \right) =15$$, the value of $$x$$ is

A
$$1\dfrac { 13 }{ 14 } $$

B
$$1\dfrac { 8 }{ 19 } $$

C
$$\dfrac { 1 }{ 3 } $$

D
$$-3$$

Solution

In order to simplify :- $$5x-2(6+7x)=15$$
Solving bracket first,
$$-2(6+7x)$$ = $$-12-14x$$ ........ eq $$(1)$$
using eq $$(1)$$,
$$5x-12-14x= 15$$
$$\Rightarrow 5x-14x= 15+12$$
$$\Rightarrow -9x = 27$$
$$\Rightarrow x =\dfrac{27}{-9}$$
$$\Rightarrow x = -3$$
Option $$D$$ is correct.
Question 7
1 / -0

If the mean of $$6, 8, 5, x $$ and $$4$$ is $$7$$, then the value of $$x$$ is ______.

A
$$11$$

B
$$12$$

C
$$13$$

D
$$14$$

Solution

Given, mean $$= 7$$ and data is $$6,8,5,x,4$$
Therefore, $$\dfrac {6+8+5+x+4}{5}$$ $$= 7$$
$$\Rightarrow$$ $$x + 23 = 35 $$
$$\Rightarrow$$ $$x = 12$$
Question 8
1 / -0

Which of the following equations has $$x = 2$$ as a solution?

A
$$x + 2 = 5$$

B
$$x - 2 = 0$$

C
$$2x + 1= 0$$

D
$$x + 3 = 6$$

Solution

(A) Putting $$x = 2$$ in $$x + 2$$, we get $$2 + 2 = 4\neq 5$$
(B) Putting $$x = 2$$ in $$x - 2$$, we get $$2 - 2 = 0$$
(C) Putting $$x = 2$$ in $$2x + 1$$, we get $$2\times 2 + 1 = 5\neq 0$$
(D) Putting $$x = 2$$ in $$x + 3$$, we get $$2 + 3 = 5\neq 6$$
Thus, the above conditions shows that $$x = 2$$ is the solution of $$x - 2 = 0$$ only.
Question 9
1 / -0

The average of $$11, 12, 13, 14$$ and x is $$13$$. The value of x is _____________.

A
$$17$$

B
$$21$$

C
$$15$$

D
$$20$$

Solution

The average of $$11, 12, 13, 14$$ and $$x$$ is $$13$$
$$\therefore$$ $$\dfrac{11+12+13+14+x}{5}=13$$
$$\therefore$$ $$50+x=65$$
$$x=15$$
Hence, correct option is $$C$$.
Question 10
1 / -0

Convert this statement in mathematical form.
Twice of remainder when 8 is subtracted from a number is 10.

A
$$2x-8=10$$

B
$$2(x-8)=10$$

C
$$\dfrac{2x}{8}=10$$

D
$$2x-10=8$$

Solution

let number be $$x$$,then remainder$$=x-8$$
so $$2(x-8)=10$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Simple Equations Test - 16

Result

Simple Equations Test - 16

Score

-

Rank

-

SHARING IS CARING

Question 1

$$2y + 119 =373$$

$$3y - 119=373$$

$$2y - 119=373$$

None of the above.

Solution

Question 2

$$-36$$

$$-6$$

$$0$$

$$6$$

$$36$$

Solution

Question 3

$$150-x$$

$$3x-150$$

$$3x+150$$

None of these

Solution

Question 4

A statement in which the values of two mathematical expressions are equal.

An expression that computes the values of variables.

A mathematical expression.

None of these

Solution

Question 5

$$-15$$

$$-1$$

$$-8$$

$$-6$$

$$-2$$

Solution

Question 6

$$1\dfrac { 13 }{ 14 } $$

$$1\dfrac { 8 }{ 19 } $$

$$\dfrac { 1 }{ 3 } $$

$$-3$$

Solution

Question 7

$$11$$

$$12$$

$$13$$

$$14$$

Solution

Question 8

$$x + 2 = 5$$

$$x - 2 = 0$$

$$2x + 1= 0$$

$$x + 3 = 6$$

Solution

Question 9

$$17$$

$$21$$

$$15$$

$$20$$

Solution

Question 10

$$2x-8=10$$

$$2(x-8)=10$$

$$\dfrac{2x}{8}=10$$

$$2x-10=8$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.