Important Questions Test: Algebra - Class 6 MCQ

# Important Questions Test: Algebra - Class 6 MCQ

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## 20 Questions MCQ Test Mathematics (Maths) Class 6 - Important Questions Test: Algebra

Important Questions Test: Algebra for Class 6 2024 is part of Mathematics (Maths) Class 6 preparation. The Important Questions Test: Algebra questions and answers have been prepared according to the Class 6 exam syllabus.The Important Questions Test: Algebra MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Questions Test: Algebra below.
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Important Questions Test: Algebra - Question 1

### Number of matchsticks required to make a pattern of “V”

Detailed Solution for Important Questions Test: Algebra - Question 1
Explanation:

• Pattern of "V": The pattern of "V" requires two lines coming together at an angle to form a V shape.

• Number of matchsticks: To create a V shape, we need 2 matchsticks for the two lines and 1 matchstick for the point where they meet.

• Total matchsticks: Therefore, the total number of matchsticks required to make a pattern of "V" is 2 + 1 = 3.

Important Questions Test: Algebra - Question 2

### Number of matchsticks required to make a pattern of “Z”

Detailed Solution for Important Questions Test: Algebra - Question 2
Number of matchsticks required to make a pattern of "Z"

• Step 1: To create a pattern of "Z", you need to draw two diagonal lines meeting at a right angle.

• Step 2: Each diagonal line requires 2 matchsticks.

• Step 3: The right angle where the two lines meet will require an additional matchstick.

• Step 4: Therefore, the total number of matchsticks required to make a pattern of "Z" is 2 + 2 + 1 = 5.

So, the correct answer is 5 matchsticks.

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Important Questions Test: Algebra - Question 3

### Number of matchsticks required to make a pattern of “A”

Detailed Solution for Important Questions Test: Algebra - Question 3

Number of matchsticks required to make a pattern of “A” is 5.

Important Questions Test: Algebra - Question 4

The answer of factorization of the expression 4z(3a + 2b - 4c) + (3a + 2b - 4c) is

Detailed Solution for Important Questions Test: Algebra - Question 4

(3a + 2b - 4c)(4z) + (3a + 2b - 4c)
(3a + 2b - 4c)(4z + 1)

Important Questions Test: Algebra - Question 5

Perimeter of an equilateral triangle, whose each side is ‘x’ unit is

Detailed Solution for Important Questions Test: Algebra - Question 5
Perimeter of an equilateral triangle

• Definition: An equilateral triangle is a triangle in which all three sides are equal in length.

• Given: Each side of the equilateral triangle is 'x' units.

• Perimeter Formula: The perimeter of any polygon is the sum of the lengths of its sides. For an equilateral triangle, the perimeter is the sum of all three sides.

Solution

• Since the given triangle is equilateral, all three sides are of equal length, which is 'x' units.

• Therefore, the perimeter P of the equilateral triangle is P = x + x + x = 3x units.

• Hence, the correct answer is 3x.

By following the formula for calculating the perimeter of an equilateral triangle and substituting the given value of 'x', we can easily determine that the correct answer is 3x units.
Important Questions Test: Algebra - Question 6

State which of the following are equations (with a variable).

Detailed Solution for Important Questions Test: Algebra - Question 6
Explanation:

• Equation A: This is an equation with a variable (x). It can be solved for x.

• Equation B, C, and D are not equations as they do not have an equals sign and a variable that can be solved for.

Important Questions Test: Algebra - Question 7

The _______ of the variable in an equation which satisfies the equation is called a solution to the equation.

Detailed Solution for Important Questions Test: Algebra - Question 7

The value of the variable in an equation which satisfies the equation is called a Solution to the Equation. So for example we take the equation 2n=10, If n = 1, the number of matchsticks is 2. Clearly, the condition is not satisfied, because 2 is not 10.

Important Questions Test: Algebra - Question 8

The ________ of an equation is equal to its RHS only for a definite value of the variable in the equation.

Detailed Solution for Important Questions Test: Algebra - Question 8
Explanation:

• LHS: The Left Hand Side (LHS) of an equation consists of the terms on the left side of the equals sign.

• RHS: The Right Hand Side (RHS) of an equation consists of the terms on the right side of the equals sign.

• Equal: The equation states that the LHS is equal to the RHS.

• Definite value: For a particular value of the variable in the equation, the LHS is equal to the RHS.

• Conclusion: The LHS of an equation is equal to its RHS only for a definite value of the variable in the equation.

Important Questions Test: Algebra - Question 9

Pick out the solution from the values given in the bracket next to each equation. x + 4 = 2 (– 2, 0, 2, 4)

Detailed Solution for Important Questions Test: Algebra - Question 9
Step-by-step

• Substitute the given values into the equation:

• x + 4 = 2

• x + 4 - 4 = 2 - 4

• x = -2

• Therefore, the solution to the equation is x = -2

Important Questions Test: Algebra - Question 10

How many variables are used in the expression 2x + 3y +5?

Detailed Solution for Important Questions Test: Algebra - Question 10
Variables in the Expression 2x + 3y + 5:

• Variables: Variables are letters used to represent unknown values in mathematical expressions.

• Expression: An expression is a combination of variables, constants, and operators that represents a value.

• 2x: In the expression 2x, 'x' is a variable representing an unknown value.

• 3y: In the expression 3y, 'y' is a variable representing another unknown value.

• 5: The number 5 in the expression is a constant, not a variable.

Number of Variables:

• 2: There are 2 variables used in the expression 2x + 3y + 5.

Conclusion:

• The expression 2x + 3y + 5 contains 2 variables, 'x' and 'y'.

• Therefore, the correct answer is 2.

Important Questions Test: Algebra - Question 11

The expression for the statement: “y multiplied by 10 and then 7 added to product” is

Detailed Solution for Important Questions Test: Algebra - Question 11
Explanation:

• Given expression: y multiplied by 10 and then 7 added to product

• Translation: 10y + 7

• Therefore, the correct expression is: 10y + 7

Important Questions Test: Algebra - Question 12

Give expression for: “ 5 times of ‘y’ to which 3 is added”.

Detailed Solution for Important Questions Test: Algebra - Question 12
Expression: "5 times of 'y' to which 3 is added"

• Step 1: Multiply 'y' by 5

• Step 2: Add 3 to the result obtained in Step 1

Detailed

• Step 1: 5 times of 'y' is represented as 5y

• Step 2: Adding 3 to 5y gives the expression 5y + 3

Conclusion:

• Therefore, the correct expression for "5 times of 'y' to which 3 is added" is 5y + 3

Important Questions Test: Algebra - Question 13

What is the statement for the expression 2y – 9?

Detailed Solution for Important Questions Test: Algebra - Question 13
Explanation:

• Expression: 2y - 9

• Given Statement: 9 subtracted from 2y

Detailed

• When we have the expression 2y - 9, it means we have 2 times y with 9 subtracted from it.

• We can interpret this as taking 9 away from the value of 2y.

• Therefore, the correct statement for the expression 2y - 9 is "9 subtracted from 2y."

• So, option B: "9 subtracted from 2y" is the correct choice.

Important Questions Test: Algebra - Question 14

Which of the following is an equation?

Detailed Solution for Important Questions Test: Algebra - Question 14
Equation Identification

• Equation: An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign.

• A: 2x + 3 = 5 is an equation as it contains an equal sign, indicating equality between two expressions.

• B, C, D: These options contain inequality signs (<, >, ≤), which represent inequalities, not equations.

Explanation of the Equation

• 2x + 3 = 5: This equation can be solved to find the value of x that satisfies the equality.

• Step 1: Subtract 3 from both sides to isolate the term with x: 2x = 2.

• Step 2: Divide by 2 on both sides to solve for x: x = 1.

• Final The value of x that satisfies the equation 2x + 3 = 5 is x = 1.

Conclusion

• Among the given options, A (2x + 3 = 5) is the only equation, while B, C, D are inequalities.

• An equation represents an equality relationship between two expressions, making it distinct from inequalities.

Important Questions Test: Algebra - Question 15

What is an expression for the statement: “p is multiplied by 16”?

Detailed Solution for Important Questions Test: Algebra - Question 15

The correct option is Option A.

If we break the factor 16p, it can be written as p multiplied with 16 (16 × p)

If we break the factor 16 - p, it can be written as p subtracted from 16 (16 - p)

If we break the factor 16 + p, it can be written as p added to 16 (16 + p)

Important Questions Test: Algebra - Question 16

Perimeter of an __________ = 3 × length of a side

Detailed Solution for Important Questions Test: Algebra - Question 16

• Perimeter of an equilateral triangle: In an equilateral triangle, all sides are equal in length. Therefore, the perimeter is equal to 3 times the length of one side.

Detailed Explanation:

• An equilateral triangle is a type of triangle in which all three sides are equal in length.

• Since all sides are equal, the perimeter of an equilateral triangle is the sum of the lengths of all three sides, which is equal to 3 times the length of one side.

• This property is unique to equilateral triangles and does not apply to isosceles or right-angled triangles.

• Therefore, the correct answer is option A: equilateral triangle.

Important Questions Test: Algebra - Question 17

Pick out the solution from the values given in the bracket next to each equation. p – 5 = 5 (0, 10, 5 – 5)

Detailed Solution for Important Questions Test: Algebra - Question 17
Explanation:

• Given Equation: p - 5 = 5

• Values given in bracket: (0, 10, 5 - 5)

• We need to find the value of p.

• To find the value of p, we need to isolate p in the equation.

• Adding 5 to both sides of the equation, we get: p = 5 + 5 = 10

• Therefore, the solution is p = 10.

Important Questions Test: Algebra - Question 18

An ________ is a condition on a variable.

Detailed Solution for Important Questions Test: Algebra - Question 18
Explanation:

• Variable: In mathematics, a variable is a symbol or letter representing a value that is not yet known.

• Condition: A condition on a variable restricts the possible values that the variable can take.

• Equation: An equation is a statement that two mathematical expressions are equal.

• Answer: In this context, an equation is used to set a condition on a variable, defining the relationship between different expressions involving the variable.

• Example: If we have an equation like "2x + 5 = 11", the condition on the variable x is that it must satisfy the equation by taking a specific value.

Important Questions Test: Algebra - Question 19

The word ‘_________’ means something that can vary, i.e. change.

Detailed Solution for Important Questions Test: Algebra - Question 19
Explanation:

• Definition of 'Variable': A variable is a symbol used to represent any member of a set of numbers or other objects, which can vary or change in value.

• Example: In the equation y = 2x + 3, x is a variable because its value can change, leading to different values of y.

• Characteristics: Variables are used in mathematics, science, and computer programming to represent unknown or changing quantities.

• Functions: Variables play a crucial role in mathematical equations, scientific experiments, and computer algorithms by allowing for flexibility and adaptability.

• Importance: Understanding variables is essential in problem-solving and critical thinking, as they enable us to analyze, predict, and control changes in various situations.

Important Questions Test: Algebra - Question 20

Take Meena’s present age to be y years, what will be her age 5 years from now?

Detailed Solution for Important Questions Test: Algebra - Question 20
Explanation:

• Given: Meena's present age is y years.

• To find: What will be her age 5 years from now?

• Meena's age 5 years from now will be her present age (y) plus 5 years.

• Therefore, her age 5 years from now is represented as y+5.

• The correct answer is y+5.

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## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests