Algebra Test

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Algebra Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Which of the sign should always be there in an equation?

A
$$=$$

B
$$\displaystyle \neq $$

C
$$\displaystyle >$$

D
$$\displaystyle <$$

Solution

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.
Question 2
1 / -0

Sumeet guessed a number $$x$$ and then he added $$30$$ to it. Give the expression for double of it.

A
$$2(x+30)$$

B
$$\dfrac{1}{2(x+30)}$$

C
$$2x+30$$

D
$$x+60$$

Solution

According to the question,
The expression is $$x+30$$.
$$\therefore$$ double of it will be $$ 2(x+30$$).

So. option $$A$$ is correct.
Question 3
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 4
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 5
1 / -0

Frame the statement into an equation:
Adding $$16$$ to $$3$$ times $$x $$ is $$39$$.

A
$$\displaystyle 3x-16=39$$

B
$$\displaystyle 3x+16=-39$$

C
$$\displaystyle -3x+16=39$$

D
$$\displaystyle 3x+16=39$$

Solution

$$3 \times x=3x$$

As per the given condition,
Adding $$16$$ to $$3x$$ results in $$16+3x=39$$

So, option $$D$$ is correct.
Question 6
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 7
1 / -0

The method of finding solution by trying out various values for the variable is called

A
Rrror method

B
Trial and error method

C
Testing method

D
Checking method

Solution

The required method is called "Trial and error method"
Question 8
1 / -0

An important development in algebra in the $$16^{th}$$ century was the

A
introduction of unknown symbols

B
arithmetic mean

C
introduction to exponents

D
introduction to powers

Solution

An important development in algebra in the $$16^{th}$$ century was the introduction to unknown symbols.
Question 9
1 / -0

Algebraic expression for the statement: $$6$$ times $$a$$ taken away from $$40$$

A
$$6a - 40$$

B
$$40a - 6$$

C
$$40 - 6a$$

D
$$0$$

Solution

Given, $$6$$ times $$a$$ takes away from $$40$$.
Required algebraic equation is given by,
$$40-6\times a=40-6a$$
Question 10
1 / -0

Convert the statement into an equation : Adding $$14$$ to $$9$$ times $$y$$ is $$89$$.

A
$$14y+9=89$$

B
$$14+9y=89$$

C
$$14-9y=-89$$

D
$$14+y=89$$

Solution

According to the question,
$$9$$ times $$y$$ means $$9 \times y = 9y$$.

Adding $$14$$ to it means $$9y+14$$.

$$\therefore$$ the equation is $$9y+14=89$$.

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Algebra Test - 8

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Algebra Test - 8

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SHARING IS CARING

Question 1

$$=$$

$$\displaystyle \neq $$

$$\displaystyle >$$

$$\displaystyle <$$

Solution

Question 2

$$2(x+30)$$

$$\dfrac{1}{2(x+30)}$$

$$2x+30$$

$$x+60$$

Solution

Question 3

$$2y + 119 =373$$

$$3y - 119=373$$

$$2y - 119=373$$

None of the above.

Solution

Question 4

$$150-x$$

$$3x-150$$

$$3x+150$$

None of these

Solution

Question 5

$$\displaystyle 3x-16=39$$

$$\displaystyle 3x+16=-39$$

$$\displaystyle -3x+16=39$$

$$\displaystyle 3x+16=39$$

Solution

Question 6

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 7

Rrror method

Trial and error method

Testing method

Checking method

Solution

Question 8

introduction of unknown symbols

arithmetic mean

introduction to exponents

introduction to powers

Solution

Question 9

$$6a - 40$$

$$40a - 6$$

$$40 - 6a$$

$$0$$

Solution

Question 10

$$14y+9=89$$

$$14+9y=89$$

$$14-9y=-89$$

$$14+y=89$$

Solution

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