Question

Simplify the expression.

the linear expression quantity negative 1 over 7 times r minus 9 minus 2 over 3 times r end quantity minus the linear expression quantity negative 5 over 7 times r plus 10 end quantity

negative 32 over 21 times r minus 1
negative 2 over 21 times r plus negative 19
negative 2 over 21 times r minus 1
4 over 11 times r plus negative 19

Answer 1

The solution to the expression include: B. negative 2 over 21 times r plus negative 19.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided above, we would translate the word problem into an algebraic expression as follows;

`-(1)/(7)r-9-(2)/(3)r -(-(5)/(7)r+10) \\\\-(1)/(7)r-9-(2)/(3)r+ (5)/(7)r-10\\\\-(1)/(7)r-(2)/(3)r+ (5)/(7)r-10-9\\\\(5r)/(7)-(r)/(7) -(2r)/(3)-19\\\\(15r-3r-14r)/(21) -19\\\\(-2r)/(21) -19`

Therefore, this is translated as negative 2 over 21 times r plus negative 19.