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Algebraic Expression

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The value of 2x2 - 6x + 4 when x = 3 is

  1. 6

  2. 5

  3. 4

  4. -2

  5. -4


Correct Option: C
Explanation:

x = 3, 2 x 3 x 3 – 6 x 3 + 4 = 18 – 18 + 4 = 4. So, option 3 is correct.

Write the following expression in the form of algebraic expression: Twice of x added to thrice of y

  1. 2x + 3y

  2. x + 3y

  3. 2x + y

  4. x + y + 5


Correct Option: A
Explanation:

Twice of x added to thrice of y is 2x + 3y.

Number of sides going through a vertex of n-sided polygon is

  1. 2

  2. n - 2

  3. n

  4. n - 1


Correct Option: A
Explanation:

Number of sides going through a vertex of n-sided polygon is 2.

Coefficient of z in -12x2y3z is

  1. -12x2y3

  2. 12x2y3

  3. -12x2

  4. 12y3

  5. None of these


Correct Option: A
Explanation:

Coefficient of z in -12 x2y3z is -12x2y3.

The addition of 3 times y and x gives

  1. 3y + x

  2. 3x + y

  3. x + y

  4. None of these


Correct Option: A
Explanation:

The addition of 3 times y and x gives 3y + x. 

How many coefficients are there in the expression 4x + 3xy - z?

  1. 3

  2. 4

  3. 2

  4. 1

  5. None of these


Correct Option: A
Explanation:

There are 3 constant numbers written with variables x, xy and z.

c + 0 is equal to

  1. -1 x - c

  2. -1 + c

  3. 1 – c

  4. -1 x c


Correct Option: A
Explanation:

(-1) x (-c) = c = c + 0

Which symbols can we use to write the variables in an algebraic equation?

  1. Letters

  2. Numerals

  3. Indices

  4. Specific symbols

  5. None of these


Correct Option: A
Explanation:

We can use any letter to represent the variables in an algebraic equation, e.g. a, b, x, y and so on.

The side length of a square is four times x. The expression for its area is

  1. 4x2

  2. (4x)2

  3. (x/4)2

  4. (4 + x)2


Correct Option: B
Explanation:

Side = 4x Area = (4x)2

Find the value of m2 – n3 + p where m = 2, n = 1 and p = -5.

  1. -3

  2. -2

  3. -1

  4. 0

  5. 1


Correct Option: B
Explanation:

2 x 2 – 1 x 1 x 1 – 5 = 4 – 1 – 5 = -2 Therefore, option (2) is correct.

Tom has Rs. 3x2y and he was given another Rs. 9x2y by his mother. Then out of the total amount of money that he had, he used some to buy a toy car of Rs. 7x2y. How much money is left with him?

  1. 5x2y

  2. 5xy

  3. 5xy2

  4. 25x2y

  5. None of these


Correct Option: A
Explanation:

Here, Tom's money = Rs. 3x2y Amount given by his mother = Rs. 9x2y Total amount of money = Rs. 12x2y So, amount of money left with him = Total money – Price of toy                                                    = Rs. 12x2y – Rs. 7x2y                                                    = Rs. 5x2y Therefore, option (1) is correct.

The length of each side of an equilateral triangle is 3x + 2. Which expression represents the perimeter of the triangle?

  1. 3x + 6

  2. 9x + 2

  3. 9x + 6

  4. None of these


Correct Option: C
Explanation:

Perimeter = 3(3x + 2) = 9x + 6

Add 7x2 + 8x + 3 and 8x + 3x2 + 9.

  1. 8x2 + 16x + 12

  2. 10x2 + 8x + 12

  3. 10x2 + 16x + 12

  4. 10x2 + 16x + 6

  5. None of these


Correct Option: C
Explanation:

7x2 + 8x + 3 + 8x + 3x2 + 9 = 8x + 3x2 + 9 + 7x2 + 8x + 3 = 10x2 + 16x + 12

Coefficient of x in 68xy8z9 is

  1. 68x2y3

  2. 68z2y3

  3. 68z9y8

  4. 68z3y4

  5. None of these


Correct Option: C
Explanation:

Coefficient of x in 68xy8z9 is 68z9y8.

Write the coefficient of x in 2x3 + 3x + 4.

  1. 2

  2. 3

  3. 4

  4. None of these


Correct Option: B
Explanation:

The coefficient of x in 2x3 + 3x + 4 is 3.

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