Question

Match each expression to its simplified form.

Answer 1

Answer:

12-1/2r            =>  (13− 3/ 2 r)−(1−r)

r-13/6             =>  (7r-3/2)-(2/3+6r)

13r+20           =>  (6r+7)+(13+7r)

-12+r               =>  (−8−r)+(2r−4)

Answer 2

The matching simplified solutions are as follows

(6r + 7)+(13 + 7r) → 13r + 20

(13 - $\frac{3}{2} r$) - (1 - r) → -$\frac{1}{2} r$+12

(-8-r)+(2r - 4) → r - 12

(7r -$\frac{3}{2}$ ) - ($\frac{2}{3}$+6r) → r - $\frac{13}{6}$

let's simplify each expression from the beginning. Therefore,

(6r + 7)+(13 + 7r)

open the brackets

6r + 7 + 13 + 7r

• 13r + 20

(13 - $\frac{3}{2} r$) - (1 - r)

13 -  $\frac{3}{2} r$ - 1 + r

• -$\frac{1}{2} r$+12

(-8-r)+(2r - 4)

-8 - r + 2r - 4

• r - 12

(7r -$\frac{3}{2}$ ) - ($\frac{2}{3}$+6r)

7r -$\frac{3}{2}$ - $\frac{2}{3}$ - 6r

• r - $\frac{13}{6}$

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