Question

A.Select all that applies. Find the equivalent expressions to 15m - 30
1. 3(5m - 6 )=
2. 5(3m - 6 ) =
3. 1m (15 - 30m) =
4. 15 ( m - 2) =
5. 3(5m + 10) =

B.Use Distributive Property and Simplify
1. 5( m + n + p)=
2. z ( 4 + 5 + 6) =
3. 4(5d - 3) =

Answer 1

A.
Option 2 and 4

B.
1. 5m+5n+5p
2. 4z+5z+6z
3. 20d-12

Answer 2

Answer:

A. {2. 5(3m - 6)} and {4. 15 ( m - 2 )}

B. 1. 5m + 5n + 5p

   2. 15z

   3. 20d - 12

Step-by-step explanation:

A.

1. 3 * 5m = 15m

  3 * -6 = -18

 15m - 18 = 15 - 30 (false)

2. 5 * 3m = 15m

   5 * -6 = -30

  15m - 30 = 15m - 30 (true)

3. 1m * 15 = 15m

   1m * -30m = -30m²

  15m * -30m² = 15m - 30m (false)

4. 15 * m = 15m

   15 * -2 = -30

  15m - 30 = 15m - 30 (true)

5.  3 * 5m = 15m

    3 * 10 = 30

   15m + 30 = 15m - 30 (false)

B.

1. (5 * m) + (5 * n) + ( 5 * p) = 5m + 5n + 5p

2. (z * 4) + (z * 5) + (z * 6) = 4z + 5z + 6z Simplify -->15z  

3. (4 * 5d) - (4 * 3) = 20d - 12