1. which best describes like terms?
a. like terms have the same sign.
b. like terms have the same degree.
c. like terms have the same literal coefficient.
d. like terms have the same numerical coefficient
2. which of the following is the correct translation of 2x-3 ?.
a. twice of x less than 3
b. twice of x diminished by 3
c. twice of x subtracted from 3
d. twice the difference of x and 3
Answers & Comments
1. In algebraic expression 5x2y + 4xy2 – xy – 9yx2
Here, the like terms are 5x2y, – 9yx2 since each of them having the same literal coefficients x2y.
And the unlike terms are 4xy2, – xy since each of them having the different literal coefficients.
2. In algebraic expression 5x2 – 3y2 – 7x2 + 5xy + 4y2 + x2 – 2ab
Here, the like terms are 5x2, – 7x2, x2 and – 3y2, 4y2.
And the unlike terms are 5xy and – 2ab
3. Separate like & unlike terms from algebraic expression 5m2 – 3mn + 7m2n.
Here we see that all the terms of the given expression are unlike.
4. List out the like terms from each set:
(i) 7a, -5a, -8b, -a, a/3
7a, -5a, -a, a/3 are the set of like terms.
(ii) –xy, 3y, 5xy, -x, -xy/11
–xy, 5xy, -xy/11 are the set of like terms.
(iii) 2p3q2, -4p2q3, 7q2p3, -2p3q2
2p3q2, 7q2p3, -2p3q2 are the set of like terms.
(iv) 2x2y, 3x3y, 2xy2, 4yx2, -2x2y, -3yx2
2x2y, 4yx2, -2x2y, -3yx2 are the set of like terms.
(v) a2b3, -5a3b2, 7a3b2, 11a3b3, -3b2a3
-5a3b2, 7a3b2, -3b2a3 are the set of like terms.
Explanation:
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