QuestionFind expressions equivalent to $(-2 z-3)-(9 z+5)$ . Options: $-2 z-3+-9 z-5$ , $-5+-11 z-3$ , $-11 z-8$ , $(-3 z-2)-(5 z+9)$ .

Studdy Solution

STEP 1

Assumptions1. We are given four expressions and we need to determine which of them are equivalent to $(- z-3)-(9 z+5)$ .

STEP 2

First, we need to simplify the given expression $(-2 z-)-(9 z+5)$ . To do this, we distribute the negative sign to the terms inside the second parentheses.
$(-2 z-)-(9 z+5) = -2 z - -9 z -5$

STEP 3

Next, we combine like terms.
$-2 z -3 -9 z -5 = -11 z -8$

STEP 4

Now, we compare the simplified expression $-11 z -8$ with each of the given expressions to see which ones are equivalent.

STEP 5

First, compare with $-2 z-3+-9 z-5$ . This expression is equivalent to the given expression as it is the same as the expression we obtained after distributing the negative sign in2.

STEP 6

Next, compare with $-5+-11 z-3$ . Rearrange the terms to get $-11 z -8$ . This expression is equivalent to the given expression.

STEP 7

Next, compare with $-11 z-$ . This expression is equivalent to the given expression.

STEP 8

Finally, compare with $(-3 z-2)-(5 z+)$ . Distribute the negative sign to the terms inside the second parentheses to get $-3 z -2 -5 z - = -8 z -11$ . This expression is not equivalent to the given expression.
The expressions equivalent to $(-2 z-3)-( z+5)$ are $-2 z-3+- z-5$ , $-5+-11 z-3$ , and $-11 z-8$ .

Was this helpful?

QuestionFind expressions equivalent to $(-2 z-3)-(9 z+5)$ . Options: $-2 z-3+-9 z-5$ , $-5+-11 z-3$ , $-11 z-8$ , $(-3 z-2)-(5 z+9)$ .

Studdy Solution

STEP 1

Assumptions1. We are given four expressions and we need to determine which of them are equivalent to $(- z-3)-(9 z+5)$ .

STEP 2

First, we need to simplify the given expression $(-2 z-)-(9 z+5)$ . To do this, we distribute the negative sign to the terms inside the second parentheses.
$(-2 z-)-(9 z+5) = -2 z - -9 z -5$

STEP 3

Next, we combine like terms.
$-2 z -3 -9 z -5 = -11 z -8$

STEP 4

Now, we compare the simplified expression $-11 z -8$ with each of the given expressions to see which ones are equivalent.

STEP 5

First, compare with $-2 z-3+-9 z-5$ . This expression is equivalent to the given expression as it is the same as the expression we obtained after distributing the negative sign in2.

STEP 6

Next, compare with $-5+-11 z-3$ . Rearrange the terms to get $-11 z -8$ . This expression is equivalent to the given expression.

STEP 7

Next, compare with $-11 z-$ . This expression is equivalent to the given expression.

STEP 8

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind expressions equivalent to (−2z−3)−(9z+5)(-2 z-3)-(9 z+5)(−2z−3)−(9z+5). Options: −2z−3+−9z−5-2 z-3+-9 z-5−2z−3+−9z−5, −5+−11z−3-5+-11 z-3−5+−11z−3, −11z−8-11 z-8−11z−8, (−3z−2)−(5z+9)(-3 z-2)-(5 z+9)(−3z−2)−(5z+9).

Studdy Solution

STEP 1

Assumptions1. We are given four expressions and we need to determine which of them are equivalent to (−z−3)−(9z+5)(- z-3)-(9 z+5)(−z−3)−(9z+5).

STEP 2

First, we need to simplify the given expression (−2z−)−(9z+5)(-2 z-)-(9 z+5)(−2z−)−(9z+5). To do this, we distribute the negative sign to the terms inside the second parentheses.(−2z−)−(9z+5)=−2z−−9z−5(-2 z-)-(9 z+5) = -2 z - -9 z -5(−2z−)−(9z+5)=−2z−−9z−5

STEP 3

Next, we combine like terms.−2z−3−9z−5=−11z−8-2 z -3 -9 z -5 = -11 z -8−2z−3−9z−5=−11z−8

STEP 4

Now, we compare the simplified expression −11z−8-11 z -8−11z−8 with each of the given expressions to see which ones are equivalent.

STEP 5

First, compare with −2z−3+−9z−5-2 z-3+-9 z-5−2z−3+−9z−5. This expression is equivalent to the given expression as it is the same as the expression we obtained after distributing the negative sign in2.

STEP 6

Next, compare with −5+−11z−3-5+-11 z-3−5+−11z−3. Rearrange the terms to get −11z−8-11 z -8−11z−8. This expression is equivalent to the given expression.

STEP 7

Next, compare with −11z−-11 z-−11z−. This expression is equivalent to the given expression.

STEP 8

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind expressions equivalent to $(-2 z-3)-(9 z+5)$ . Options: $-2 z-3+-9 z-5$ , $-5+-11 z-3$ , $-11 z-8$ , $(-3 z-2)-(5 z+9)$ .

Assumptions1. We are given four expressions and we need to determine which of them are equivalent to $(- z-3)-(9 z+5)$ .

First, we need to simplify the given expression $(-2 z-)-(9 z+5)$ . To do this, we distribute the negative sign to the terms inside the second parentheses.
$(-2 z-)-(9 z+5) = -2 z - -9 z -5$

Next, we combine like terms.
$-2 z -3 -9 z -5 = -11 z -8$

Now, we compare the simplified expression $-11 z -8$ with each of the given expressions to see which ones are equivalent.

First, compare with $-2 z-3+-9 z-5$ . This expression is equivalent to the given expression as it is the same as the expression we obtained after distributing the negative sign in2.

Next, compare with $-5+-11 z-3$ . Rearrange the terms to get $-11 z -8$ . This expression is equivalent to the given expression.

Next, compare with $-11 z-$ . This expression is equivalent to the given expression.