Algebraic Expression | MCQs

Explanation

Let us convert the given word expression into a numerical format by deriving each term and its operation.

The operation of multiplication or 'x' in words is 'times'.

Eight times of a number b is denoted by 8xb = 8b.

Ten times of a number c is denoted by 10xc = 10c.

The operation of subtraction is denoted by ' - '.

Since we are subtracting eight times the number b from ten times the number c, we will write the term 10c first and then place the operation sign (of subtraction), which is followed by the next term 10c.

Hence, the required expression is = 10c- 8b.

ND12_8_2023

Explanation

Let, a and b two given numbers.

Let,

$A_1,A_2,A_3.............A_n$ be Arithmetic means between a and b.

$a,A_1,A_2,A_3.............A_n,$

Explanation

The mean proportional between two numbers a and b is a number x such that: a : x :: x : b

In this case, we want to find the mean proportional between 64 and 81.

Let's set up the proportion: 64 : x :: x : 81

We can rewrite this as: 64/x = x/81

Cross-multiplying, we get: 64 × 81 = x^2

Simplifying, we get: 5184 = x^2

Taking the square root of both sides, we get:

x = √5184

x = 72

So, the mean proportional between 64 and 81 is 72.

Explanation

Given:

Sum of numbers = -8

Product of numbers = 15

The algebraic expression representing this is:

x^2 - (sum)x + (product) = 0

x^2 - (-8)x + 15 = 0

x^2 + 8x + 15 = 0

The correct answer is: x^2 + 8x + 15

Explanation

the order of removing bracket and simplify the expression :

BODMAS' Rule:

This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of given expression.

Here B - Bracket,

O - of,

D - Division,

M - Multiplication,

A - Addition and

S - Subtraction

• Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order (), {} and ||.
• After removing the brackets, we must use the following operations strictly in the order:
• (i) of (ii) Division (iii) Multiplication (iv) Addition (v) Subtraction.
• Sh5-9-2023

Explanation

Degree of a term = sum of the powers of variables in that term.

Highest degree term is 8x²y³ with degree 2 + 3 = 5.

Explanation

a^2 (-2b)^2 = a^2 × 4b^2 = 4a^2b^2

Explanation

A binomial expression contains exactly two terms, and x² + y² fits that definition.

x²y² is a monomial (single term).

x + y + 1 is a trinomial (three terms).

Explanation

8×2=8+2+82=10+4= 14

Explanation

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Out of the given options:

18 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

27 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

30 is not a perfect square because it cannot be expressed as the product of an integer multiplied by itself.

36 is a perfect square because it can be expressed as 6×6=36, where 6 is an integer.