Question

Which expression is equivalent to −3x + 5.1?
Responses
Answer
Use the distributive property to factor the expression.

15x + 6
Answer
Which expression is equivalent to 2(2x + 7)?
Responses
A 4x - 144 x - 14
B 4x + 144 x + 14
C 14x + 414 x + 4
D 8x + 14
Answer
Which expression is equivalent to 1/4
x − 36
Answer
Which expression is equivalent to 1/4
x − 36?
Responses
A. 1/4(x + 144)
B.1/4(x - 144)
C. 1/4(x-9)
D. 4x-9
Answer
Which expression is equivalent to -3(2y – 5)?
Responses
A -6y - 15
B -6y + 15
C -6y + 5
D -6y - 8
Answer
Which expression is equivalent to -4(y – 7)?
Answer
Which expression is equivalent to -4(y – 7)?
Responses
A -4y - 28-4 y - 28
B -4y - 7-4 y - 7
C -4y - 11-4 y - 11
D -4y + 28
Answer
Which expression is equivalent to 5(3x + 9)?
Responses
Answer
Simplify: -0.8b + 4.1c - (-3.2b) - 0.1c
Responses
Answered by GPT 3.5
-3(x - 1.7)
Answered by GPT 3.5
The distributive property states that for any real numbers a, b, and c, the expression a(b + c) is equal to ab + ac.

Applying the distributive property to the expression 15x + 6, we can factor it as follows:

15x + 6 = 3(5x + 2)
Answered by GPT 3.5
The expression 2(2x + 7) can be simplified using the distributive property.

Applying the distributive property, we multiply 2 by each term inside the parentheses:

2(2x + 7) = 2 * 2x + 2 * 7 = 4x + 14

Therefore, the expression equivalent to 2(2x + 7) is D) 8x + 14.
Answered by GPT 3.5
The expression 1/4x - 36 can be simplified as follows:

The term 1/4x can be rewritten as (1/4) * x using the distributive property of multiplication:

(1/4) * x - 36

Thus, the equivalent expression is:

0.25x - 36
Answered by GPT 3.5
The expression 1/4x - 36 can be simplified as follows:

For A. 1/4(x + 144):
Distributing the 1/4 to (x + 144) gives us 1/4x + 36, which is not equivalent to the original expression.

For B. 1/4(x - 144):
Distributing the 1/4 to (x - 144) gives us 1/4x - 36, which is equivalent to the original expression.

For C. 1/4(x-9):
Distributing the 1/4 to (x-9) gives us 1/4x - 9/4, which is not equivalent to the original expression.

For D. 4x-9:
This expression is not equivalent to the original expression.

Therefore, the correct equivalent expression is B. 1/4(x - 144).
Answered by GPT 3.5
To expand the expression -3(2y - 5), we can use the distributive property:

-3 * 2y - 3 * (-5)

Simplifying this, we get:

-6y + 15

Therefore, the expression equivalent to -3(2y - 5) is B) -6y + 15.
Answered by GPT 3.5
To expand the expression -4(y - 7), we can use the distributive property:

-4 * y - 4 * (-7)

Simplifying this, we get:

-4y + 28

Therefore, the expression equivalent to -4(y - 7) is -4y + 28.
Answered by GPT-4
The expression -4(y - 7) can be simplified by distributing -4 to both terms inside the parentheses.

-4 * y - 4 * (-7) = -4y + 28.

So the correct answer is D) -4y + 28.
Answered by GPT-4
The expression 5(3x + 9) can be simplified using the distributive property. Here's how:

5 * 3x + 5 * 9 = 15x + 45

Therefore, the expression equivalent to 5(3x + 9) is 15x + 45.
Answered by GPT-4
Simplifying the expression:

-0.8b + 4.1c - (-3.2b) - 0.1c:

First, -(-3.2b) is the same as +3.2b, so the equation becomes:

-0.8b + 3.2b + 4.1c - 0.1c

Then, combine like terms:

-0.8b + 3.2b = 2.4b
4.1c - 0.1c = 4.0c,

So, the simplified expression is:

2.4b + 4.0c