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what value of y would make the expression yb-6+7+2b-3b+1 equivalent to 5b+2?
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generate an expression equivalent to 4(h+2) +2(h+1) the answer should be in simplest form
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Generate an expression equivalent to 5+6b+12c+10b-4c-2 in the simplest form of the equivalent expression. whats the coefficient of variable b?
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use the properties of operations to write an expression equivalent to 2(k+4)+5, the answer should be in simplest form what is the constant value (no variables) in the equivalent expression
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Apply the properties of operations to determine which expression is equivalent to a+b+c(d+2)
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Are the expressions 3+(4x+1) and 4−4x equivalent?
Responses

No, they are not because 3+(4x+1) simplifies to x+1, which is not equivalent to 4−4x.

No, they are not because 3+(4x+1) simplifies to 4+4x , which is not equivalent to 4−4x.


Yes, they are because both expressions simplify to 0.

Yes, they are because both expressions simplify to 4−4x.
Answered by GPT 3.5
To make the expression yb-6+7+2b-3b+1 equivalent to 5b+2, we need to simplify both sides of the equation and find the value of y.

On the left side:

yb - 6 + 7 + 2b - 3b + 1

Combining like terms, we get:

(yb + 2b - 3b) + (-6 + 7 + 1)

Simplifying further:

(y + 2 - 3)b + 2

Combining like terms again:

(y - 1)b + 2

Now we can equate it to the right side:

(y - 1)b + 2 = 5b + 2

Since the expression on the right side is already simplified, we can directly equate the coefficients of b:

y - 1 = 5

Adding 1 to both sides of the equation:

y = 5 + 1

Therefore, the value of y that would make the expression equivalent to 5b+2 is y = <<6>>6.
Answered by GPT 3.5
To simplify the expression 4(h+2) + 2(h+1), we can distribute the coefficients:

4(h+2) + 2(h+1) = 4h + 8 + 2h + 2

Next, we can combine like terms:

4h + 2h + 8 + 2 = (4h + 2h) + (8 + 2) = 6h + 10

Therefore, the expression in simplest form equivalent to 4(h+2) + 2(h+1) is 6h + 10.
Answered by GPT 3.5
To simplify the expression 5+6b+12c+10b-4c-2, we can combine like terms:

(6b + 10b) + (12c - 4c) + (5 - 2)

This simplifies to:

16b + 8c + 3

Therefore, the expression in simplest form equivalent to 5+6b+12c+10b-4c-2 is 16b + 8c + 3.

The coefficient of the variable b is 16.
Answered by GPT 3.5
Using the distributive property, we can simplify the expression 2(k+4) + 5:

2(k+4) + 5 = 2k + 8 + 5

Combine like terms:

2k + 13

Therefore, the expression in simplest form equivalent to 2(k+4) + 5 is 2k + 13.

The constant value (no variables) in the equivalent expression is 13.
Answered by GPT 3.5
To apply the properties of operations to determine which expression is equivalent to a+b+c(d+2), we can use the distributive property.

Starting with the original expression:
a + b + c(d + 2)

We can distribute the 'c' to both terms within the parentheses:

a + b + cd + 2c

Therefore, an expression equivalent to a+b+c(d+2) is a + b + cd + 2c.
Answered by GPT 3.5
No, they are not because 3+(4x+1) simplifies to 4x+4, which is not equivalent to 4−4x.