Question
Select the expression that contains only like terms.
- 4t - 4t
- 6f - 6t + 3
- 7y - 9
- 4f + 4f + 4
Hint:
An expression is said to have only like terms then, an expression should have only one variable exist in the equation with different coefficients.
The correct answer is: 4t - 4t
An expression is having only like terms if and only if it's expression is having only one variable with different coefficients.
Then. let us consider the options to find the expression with like terms.
option 1: 4t - 4t is an expression having only one variable t. Hence, we can say that this is the expression that has only like terms.
***Hence, we can say that 4t-4t is the expression that has only like terms.
In Mathematics, general simplification of the expression is evaluated using the properties of the variables.
** Like terms can perform any operation defined in the expression.
** Unlike terms are remained unevaluated after the evaluation of the like terms present in the expression.
** Hence, Simplification of the expression should follow above rules.
Example to show expression evaluation: a + a = 2a ; 2a-a = a ; are the correct evaluation of the like terms where as
a-b = a-b is the example for evaluation for the evaluation of the unlike terms.
Related Questions to study
Find the expression that contains only like terms.
When an expression is said to have only like terms if it's expression has only one variable with different coefficients.
Given that:
we were asked to find the expression having only terms.
Hence, let us consider first option 15k + 2k - 4k + 2 , it has k, 2 as variable terms. Hence, It is having unlike terms.
Similarly, second Option: 16h - 7h + 3g - 9h, it has variables g, h . Hence, it is having unlike terms.
Similarly, Third option : 5r - 3r + 6r - r, it has only one variable r. Hence, it is considered as the expression having only like terms.
Find the expression that contains only like terms.
When an expression is said to have only like terms if it's expression has only one variable with different coefficients.
Given that:
we were asked to find the expression having only terms.
Hence, let us consider first option 15k + 2k - 4k + 2 , it has k, 2 as variable terms. Hence, It is having unlike terms.
Similarly, second Option: 16h - 7h + 3g - 9h, it has variables g, h . Hence, it is having unlike terms.
Similarly, Third option : 5r - 3r + 6r - r, it has only one variable r. Hence, it is considered as the expression having only like terms.
Simplify: 5p + 7y + 2t - 3p + 4y
Since, the given expression is reduced to solve using the like terms present in the expression.
Given that:
5p + 7y + 2t - 3p + 4y
Like terms presents in the expression are 5p, -3p and 7y, 4y.
Hence, 5p + 7y + 2t - 3p + 4y becomes:
= (5p-3p) + (7y+4y) + 2t
= 2p + 11y + 2t
Therefore, 5p + 7y + 2t - 3p + 4y = 2p + 11y +2t
Simplify: 5p + 7y + 2t - 3p + 4y
Since, the given expression is reduced to solve using the like terms present in the expression.
Given that:
5p + 7y + 2t - 3p + 4y
Like terms presents in the expression are 5p, -3p and 7y, 4y.
Hence, 5p + 7y + 2t - 3p + 4y becomes:
= (5p-3p) + (7y+4y) + 2t
= 2p + 11y + 2t
Therefore, 5p + 7y + 2t - 3p + 4y = 2p + 11y +2t