Question

Drag the tiles to the correct boxes to complete the pairs.

Match each expression to its simplified form.

Answer 1

Answers:

(Check attched image).

Explanation:

In this exercise we must simplify each expression until it matches one of the answers below, let's work with each expression one by one.

1. (6r + 7) + (13 + 7r).

a. Group all the similar terms.

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

b. Simplify.

13r+20

2. (13 - 3/2r) - (1 - r).

a. Solve all parenthesis.

13 - 3/2r - 1 + r

b. Work with similar terms to simplify.

(-3/2r + r) + (13-1)

-1/2r + 12

3. (- 8 - r) + (2r - 4).

a. Group all the similar terms.

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

b. Simplify.

r + (-12)

r - 12

4. (7r - 3/2) - (2/3 + 6r).

a. Solve all parenthesis.

7r - 3/2 - 2/3 - 6r

b. Simplify by operating with similar terms.

7r-6r-2/3-3/2

r-2/3-3/2

Let's do the fraction substraction below.

`-(2)/(3) -(3)/(2)= \\ \\-(2*2)/(3*2) -(3*3)/(2*3)=\\ \\-(4)/(6) -(9)/(6)=\\ \\(-4-9)/(6) =\\ \\-(13)/(6)`

Hence, the final result of this simplification is:

r - 13/6

Check out the attched image below to see the original problem and the answers.