How to write an equivalent expression with using the distributive property?

Question

1. 2(3+8)

2. 4(y+z)

3. 7(x+2)

4. b(c+d)

Thanks!

NOTE: Again, this is that weird algebra where you don't know what the variable's worth are.


Thanks!

Answer 1

6+16
4y+4z
7x+14
bc+bd

:)

Answer 2

The distributive property of multiplication means that the product of a number and a sum of two (or more ) other numbers is equal to the sum of the products of that number and each of the other numbers.
A ( B + C) = AB +AC
or as in 4. b (c+d) = bc + bd
3. 7 (x + 2) = 7x + 14
2. 4 (y + z) = 4 y = 4 z
1. 2 (3 + 8 ) = 6 + 16 = 22

Answer 3

The first one should be done using bedmas but...just multiply the number out front with each number in the bracket.

2(3 + 8) = 2*3 + 2*8 = 6 + 16 = 22

4(y+z) =4y + 4z

Answer 4

2(3+8) = 2 x 3 + 2 x 8

4 (Y+Z) = 4 x Y+ 4 x Z

7 (X+2) = 7 x X + 7 x 2

B (C+D) = B x C + B x D

Im guessing your in 7th grade...Im in seventh too...We learned a few weeks ago!

Answer 5

write an equivalent expression for 1/2(6g-3)

Answer 6

2(3+8) = 2(3) + 2(8) = 22

4(y + z) = 4y + 4z

7(x+2) = 7x + 14

b(c+d) = bc + bd