Algebraic Expressions Test - 6

Number of peons working = 5y² + 6y + 9
Number of managers working = 6y² + 3y + 8
Total number of managers and peons = 5y² + 6y + 9 + 6y² + 3y + 8 = 11y² + 9y + 17

Number of products that company P buys monthly = x
Number of products that company P buys yearly = 12x
Number of products that company P sells quarterly = y

Number of products that company P sells yearly = 4y
Number of products left with company P after 1 year = 12x - 4y

So, number of products left with the company after 3 years = 3(12x - 4y) = 36x - 12y

Cost of one set of chairs = Rs. 456.10
Cost of one table = Rs. 320.90

Total cost of 5 sets of chairs and 4 tables = (5 × 456.10) + (4 × 320.90)
= 2280.5 + 1283.6 = Rs. 3564.1

A = 5x² + 6y + 9
B = 6y² + 3x + 8

A + B = (5x² + 6y + 9) + (6y² + 3x + 8) = 5x² + 6y² + 6y + 3x + 17

Statement (1) is false because the terms which have the same algebraic factors are called like terms, and the terms which have different algebraic factors are called unlike terms.)

Statement (2) is false because the degree of a polynomial is the largest exponent. In case of 5a² - 6a + 10, the degree is 2.

Statement (3) The factors of expression 4pq + 9 are 4, p, q and 9. (False: the factors of expression cannot be determined.)

1. Terms which have the same algebraic factors are like terms..
2. An algebraic expression of more than three terms is called a polynomial.
3. m × m has two factors, so to express it we can write: m × m = m².
4. The sum or difference of two like terms is a like term with coefficient equal to the sum (or difference) of the coefficients of the two like terms