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Question 1 of 4
1. Question
Evaluate`6x8x` (2x)
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Terms with the same variable can be added or subtracted.Both terms have `x` as their variable, meaning we can freely add or subtract them like integers.Since the signs are different `(+ )` we will find the difference of the two numbers`86` `=` `2` Find the Difference `\text(Difference)` `=` `2` Insert the sign of the larger number `(8)` to the difference as well as the variable `x`.`6x8x` `=` `2x` Insert a negative sign since the larger number, `8` is negative `2x` 
Question 2 of 4
2. Question
Evaluate`4y3x+y7x` (5y10x, 10x+5y)
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Terms with the same variable can be added or subtracted.First, solve for the values with an `x` variable (`3x7x`).Since the signs are the same `( )` we will find the sum of the two numbers`3+7` `=` `10` Find the Sum `\text(Sum)` `=` `10` Insert the sign of the larger number `(7)` to the difference as well as the variable `x`.`3x7x` `=` `10x` Insert a negative sign since the larger number, `7` is negative Next, solve for the values with a `y` variable (`4y+y`).Since the signs are the same `(+ +)` we will find the sum of the two numbers`4+1` `=` `5` Find the Sum `\text(Sum)` `=` `5` Insert the sign of the larger number `(+4)` to the difference as well as the variable `y`.`4y+y` `=` `5y` Use a positive sign since the larger number, `5` is positive Finally, combine the terms.`5y10x` `5y10x` 
Question 3 of 4
3. Question
Evaluate`12+(7x)+6x(18)` (30x, x+30)
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Terms with the same variable can be added or subtracted.First, solve for the values with an `x` variable (`7x+6x`).Since the signs are different `( +)` we will find the difference of the two numbers`76` `=` `1` Find the Difference `\text(Difference)` `=` `1` Insert the sign of the larger number `(7)` to the difference as well as the variable `x`.`7x+6x` `=` `x` Insert a negative sign since the larger number, `7` is negative Next, solve for the values with no variables.`12````(````18)` `=` `12``+``18` Recall, `=` `30` Finally, combine the terms.`30x` `30x` 
Question 4 of 4
4. Question
Evaluate`(7m)^2divide7m` (7m)
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Rules for Dividing Integers
Transform the expression into a fraction to make it easier to solve.`(7m)^2divide7m` `=` `((7m)^2)/(7m)` `=` `(49m^2)/(7m)` Simplify the fraction$$\frac{\color{#00880A}{49}m^2}{\color{#CC0000}{7}m}$$ `=` `7``(m^2)/m` Recall, `=` `7m^(21)` Recall rules for indices `=` `7m^(1)` `=` `7m` `7m`
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