Question

Which two expressions are equivalent to 9x+3 * 1 point 2(2x−1)+5(x+1) 5(x+4)+4(x−1) 3(3x+3) 9(x−1)+12

Answer 1

[AI-generated answer — Bot GPT 3.5]

The two expressions equivalent to 9x + 3 are:

1) 2(2x−1) + 5(x+1)
2) 3(3x+3)

Answer 2

Which of these expressions is equivalent to the following? 4(x+5)

| (X+5) + (X+5) +(X+5) +(X+5)

II 4x+5

III x + x + x + x + 5 + 5 + 5 + 5

IV 4x + 20

Select only 1 response below.
*
1 point
I
II
III
IV
I and IV
I, II, and III
I, III, IV
II and III
III and IV

Answer 3

[AI-generated answer — Bot GPT 3.5]

The expression 4(x + 5) can be expanded as (x + 5) + (x + 5) + (x + 5) + (x + 5), which simplifies to x + x + x + x + 5 + 5 + 5 + 5.

Therefore, among the options provided:
III) x + x + x + x + 5 + 5 + 5 + 5
is equivalent to 4(x + 5).

So, the correct response is III: I, III, and IV.

Answer 4

Which expression is equivalent to 3(x+2)+4(x+5)?

*
0 points
7x + 7
26x
7(x^2 + 7)
7x + 26

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the expression equivalent to 3(x + 2) + 4(x + 5), we need to distribute the numbers inside the parentheses:

3(x + 2) + 4(x + 5)
= 3x + 6 + 4x + 20 (Distribute)
= 3x + 4x + 6 + 20 (Combine like terms)
= 7x + 26

Therefore, the expression equivalent to 3(x + 2) + 4(x + 5) is 7x + 26.

Hence, the correct answer is:
7x + 26

Answer 6

Apply the Distributive Property and Combine like Terms to generate an expression equivalent to 4(a+2)+3(2a+4)−10

*
1 point
10a - 4
6a + 10
10a + 10
6a - 10``

Answer 7

[AI-generated answer — Bot GPT 3.5]

First, apply the distributive property by multiplying the numbers outside of the parentheses with the terms inside the parentheses:

4(a+2) + 3(2a+4) - 10
= 4a + 8 + 6a + 12 - 10

Next, combine like terms:

= 4a + 6a + 8 + 12 - 10
= 10a + 10 - 10
= 10a

Therefore, the expression equivalent to 4(a+2) + 3(2a+4) - 10 is 10a.

Hence, the correct response is: 10a

Answer 8

out of this

10a - 4
6a + 10
10a + 10
6a - 10``

Answer 9

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion in the previous responses. Let's perform the correct calculations again for the expression 4(a+2) + 3(2a+4) - 10:

Applying the distributive property:

4(a+2) + 3(2a+4) - 10
= 4a + 8 + 6a + 12 - 10

Combine like terms:

= 4a + 6a + 8 + 12 - 10
= 10a + 20 - 10
= 10a + 10

The correct expression equivalent to 4(a+2) + 3(2a+4) - 10 is 10a + 10.

Therefore, the correct response is: 10a + 10.

Answer 10

``Which two expressions are equivalent to 12x+4

*
1 point
4(3x + 1)
12x + 2 + x + 2
3x + 4x + 4
(6x + 2) + (6x + 2)

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find the expressions that are equivalent to 12x + 4, we need to see which expressions result in the same simplified form.

1. 4(3x + 1) = 12x + 4
Distributing: 4*3x + 4*1 = 12x + 4
It simplifies to 12x + 4

2. 12x + 2 + x + 2 = 13x + 4
It is not equivalent to 12x + 4

3. 3x + 4x + 4 = 7x + 4
It is not equivalent to 12x + 4

4. (6x + 2) + (6x + 2) = 12x + 4
Simplifying: 6x + 6x + 2 + 2 = 12x + 4
It simplifies to 12x + 4

Therefore, the two expressions equivalent to 12x + 4 are:
- 4(3x + 1)
- (6x + 2) + (6x + 2)