Select the expression that contains only like terms.

Add the like terms to create an equivalent expression. 12p + p

Since, an expression contains the like terms. let, us try to reduce them using expression evaluation.
Given Expression :
12p + p
Here, the like terms present in the given expression are 12p,p.
Hence, try to evaluate their operation , 12p + p = 13p.
The final expression obtained from 12p + p = 13p

Robin charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents, so as a result, he must increase the rate of change by $25 to ensure his profits are not harmed. The equation best represents how much his tenants will now have to pay is

Given That :
Rent paid by tenants per month= 400 dollars
Total security deposit per month= 600 dollars
let, there exists x tenants in the house belongs to the owner.
Rate of change made by owner = 25 dollars.
Now, Amount that should be paid by one tenant =  425 dollars.
Amount that should be paid by x tenants   = 425x dollars
Then, total amount paid by the x tenant = y = 425x + 600
The final equation is  y = 425x + 600 

Robert earns $25 per yard he mows in the summer. If he also makes a onetime amount of $100 for babysitting his brother, write an equation that can be used to determine the number of yards (y) he will need to mow to go to Italy for $3,100.

Given That:
Number of yards : y
Amount earned by Robert per yard : 25 dollars
Amount earned by Robert from his brother : 100 dollars
Total amount needed to go to Italy : 3100 dollars.
Hence, Total amount earned by Robert for y yards : 25y dollars
Now, the amount that Robert earn totally = 25y + 100 dollars.
Now, the final Equation becomes 25y + 100 = 3100

Simplify by combining like terms: 4x² - 3x + 11 - 2x

The expression is evaluated using the like terms. Reduce the given expression into a final expression by performing required operations.
Given Expression:
4x² - 3x + 11 - 2x
Here, the like terms are -3x, -2x. Then,
adding like terms : -5x
Final Expression becomes 4x² - 5x +11
* Hence, The final expression becomes 4x² -5x +11.

Simplify the following expression: 3 + 5x + 8 – 2x

Since, an expression can have any terms in it. we can reduce the like terms with the operation between them and combine their results to obtain the final expression.
Given Expression:
3 + 5x + 8 – 2x
Here, the like terms are 3,5 with 0 degree terms and 5x, -2x with 1 degree terms. Then,
**degree 0 terms>> 3+8 = 11
degree 1 terms >>5x-2x = 3x
** By combining the above results gives 3x + 11
Hence, an expression becomes  3 + 5x + 8 – 2x = 11 + 3x.

Add like terms in the expression 3x + 1 + 7x.

Since, expression is evaluated with the reduction of like terms and combining their results to get the final expression.
Given Expression;
3x + 1 + 7x.
Here, the like terms are 3x, 7x. Hence, perform the operation between them
= 10x +1
* Hence, The final expression that we got after the reduction of the like terms is 10x +1.

Select the expression that contains only like terms.

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. 

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

Use properties of operations to complete the equivalent expression.4(y+2) = __y+___

Use properties of operations to write an equivalent expression. 7 (9y+2)

90m + 40 - 25 + 60n - 20m is equivalent to ________.

The expression is equivalent to: 6m – m

For given expression, select one correct equivalent expression from the four options.25x − 10y

For given expression, select one correct equivalent expression from the four options.18xy + 45x