Question

Drag the tiles to the correct boxes to complete the pairs. Match each expression to its simplified form.

(6r+7) + (13+7r) : 12-1/2r
(13-3/2r) - (1-r) : r-13/6
(-8-r) + (2r-4) : -12+r
(7r-3/2) - (2/3+6r) : 13r+20

Answer 1

(6r + 7) + (13 + 7r) simplifies to 13r + 20

(13 - 3/2r) - (1 - r) simplifies to -1/2r - 7/6

(-8 - r) + (2r - 4) simplifies to r - 20

(7r - 3/2) - (2/3 + 6r) simplifies to -13r - 2/3

Step-by-step explanation:

1. For the first expression, combine like terms by adding the coefficients of 'r' and the constant terms separately: (6r + 7) + (13 + 7r) = 13r + 20.

2. In the second expression, distribute the negative sign and then combine like terms: (13 - 3/2r) - (1 - r) = -1/2r - 7/6.

3. In the third expression, combine like terms by adding the coefficients of 'r' and the constant terms separately: (-8 - r) + (2r - 4) = r - 20.

4. For the fourth expression, combine like terms by subtracting the coefficients of 'r' and the constant terms separately: (7r - 3/2) - (2/3 + 6r) = -13r - 2/3.

These simplifications involve the basic principles of algebra, such as combining like terms and distributing operations.