Question

Algebra help please?

Answer 1

use the distributive property to decide which of the following is equivalent to 2(3+5x)? select all that apply.

2(3)+2(5x)
6+10x
2+8x
-6x

Answer 2

\[2(3+5x)=2(3)+2(5x)=6+10x\]

Answer 3

Is that the only one?

Answer 4

The first and the second are correct.

Answer 5

can you help me with some more?

Answer 6

Ok ;)

Answer 7

which value of a would make the following statement true? -5(6x+a)=-30+40

8
6
-8
-6

Answer 8

You must use substitution. In this case,
\[-5(6x+a)=-30x+40)\Leftrightarrow a=-8\]Because,
\[-5(6x+a)=-5(6x)-5a=-30x-5a\]The terms with a must be equal in both sides,
\[-5a=+40\Rightarrow a=-8\]

Answer 9

use the distributive property to simplify the expression 1/2(4x-2)

2x-2
2x-1
8x-2
8x-4

Answer 10

i understand that thanks! :D

Answer 11

The answer to the last exercise you posted is 2x-1, also, applying distributive property.

Answer 12

use the distributive property to simplify the expression 1/3(-3x+9)

-x+3
-x+9
-9x+9
-9x+27

Answer 13

Again,
\[\frac{1}{3}(-3x+9)=\frac{-3x}{3}+\frac{9}{3}=-x+3\]

Answer 14

which of the following is equivalent to 1/5(15x-25y)?

3x+5y
3x-5y
3x-25y
15x-25t

Answer 15

\[\frac{1}{5}(15x-25y)=\frac{15x}{5}-\frac{25y}{5}=3x-5y\]

Answer 16

use the distributive property to rewrite the expression -6(-5x+2y-7z)

30x-12y+42z
30x+2y-7z
-30x-12y-42z
-5x+2y-7z

Answer 17

use the distributive property to rewrite the expression -1/5(20x-30y+5z)

-4x+6y-z
4x+6y+5z
-4x-30y+5z
20x-30y+5z

Answer 18

these are the last 2

Answer 19

can you help?