what value of y would make the expression yb-6+7+2b-3b+1 equivalent to 5b+2?
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.
generate an expression equivalent to 4(h+2) +2(h+1) the answer should be in simplest form
_h+_
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.
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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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.
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
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.
Apply the properties of operations to determine which expression is equivalent to a+b+c(d+2)
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.
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.