QuestionFind expressions equivalent to $(9 j-7)+(-5 j+5)$ . Options: $4 j-2$ , $(-5 j+5)+(9 j+-7)$ , $-2 j+4$ , $9 j+5-7+-5 j$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(9 j-7)+(-5 j+5)$ . . We are asked to find the expressions that are equivalent to the given expression.

STEP 2

First, let's simplify the given expression. We can do this by combining like terms.
$(9 j-7)+(-5 j+5) =9j -5j -7 +5$

STEP 3

Now, let's simplify the expression further by performing the operations.
$9j -5j -7 +5 =j -2$

STEP 4

Now, let's check the first option $4j -2$ . This is exactly the same as the simplified expression we obtained, so it is equivalent to the given expression.

STEP 5

Next, let's check the second option $(-5 j+5)+(9 j+-7)$ . We can simplify this by combining like terms.
$(-5 j+5)+(9 j+-7) = -5j +9j +5 -7$

STEP 6

Now, let's simplify the expression further by performing the operations.
$-5j +9j +5 - =4j -2$ This is the same as the simplified expression we obtained, so it is also equivalent to the given expression.

STEP 7

Next, let's check the third option $-2 j+4$ . This is not the same as the simplified expression we obtained, so it is not equivalent to the given expression.

STEP 8

Finally, let's check the fourth option $j+5-7+-5 j$ . We can simplify this by combining like terms.
$j+5-7+-5 j =j -5j -7 +5$

STEP 9

Now, let's simplify the expression further by performing the operations.
$9j -5j -7 +5 =4j -2$ This is the same as the simplified expression we obtained, so it is also equivalent to the given expression.
So, the expressions equivalent to $(9 j-7)+(-5 j+5)$ are $4 j-2$ , $(-5 j+5)+(9 j+-7)$ , and $9 j+5-7+-5 j$ .

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QuestionFind expressions equivalent to $(9 j-7)+(-5 j+5)$ . Options: $4 j-2$ , $(-5 j+5)+(9 j+-7)$ , $-2 j+4$ , $9 j+5-7+-5 j$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(9 j-7)+(-5 j+5)$ . . We are asked to find the expressions that are equivalent to the given expression.

STEP 2

First, let's simplify the given expression. We can do this by combining like terms.
$(9 j-7)+(-5 j+5) =9j -5j -7 +5$

STEP 3

Now, let's simplify the expression further by performing the operations.
$9j -5j -7 +5 =j -2$

STEP 4

Now, let's check the first option $4j -2$ . This is exactly the same as the simplified expression we obtained, so it is equivalent to the given expression.

STEP 5

Next, let's check the second option $(-5 j+5)+(9 j+-7)$ . We can simplify this by combining like terms.
$(-5 j+5)+(9 j+-7) = -5j +9j +5 -7$

STEP 6

Now, let's simplify the expression further by performing the operations.
$-5j +9j +5 - =4j -2$ This is the same as the simplified expression we obtained, so it is also equivalent to the given expression.

STEP 7

Next, let's check the third option $-2 j+4$ . This is not the same as the simplified expression we obtained, so it is not equivalent to the given expression.

STEP 8

Finally, let's check the fourth option $j+5-7+-5 j$ . We can simplify this by combining like terms.
$j+5-7+-5 j =j -5j -7 +5$

STEP 9

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QuestionFind expressions equivalent to (9j−7)+(−5j+5)(9 j-7)+(-5 j+5)(9j−7)+(−5j+5). Options: 4j−24 j-24j−2, (−5j+5)+(9j+−7)(-5 j+5)+(9 j+-7)(−5j+5)+(9j+−7), −2j+4-2 j+4−2j+4, 9j+5−7+−5j9 j+5-7+-5 j9j+5−7+−5j.

Studdy Solution

STEP 1

Assumptions1. We are given the expression (9j−7)+(−5j+5)(9 j-7)+(-5 j+5)(9j−7)+(−5j+5). . We are asked to find the expressions that are equivalent to the given expression.

STEP 2

First, let's simplify the given expression. We can do this by combining like terms.(9j−7)+(−5j+5)=9j−5j−7+5 (9 j-7)+(-5 j+5) =9j -5j -7 +5 (9j−7)+(−5j+5)=9j−5j−7+5

STEP 3

Now, let's simplify the expression further by performing the operations.9j−5j−7+5=j−29j -5j -7 +5 =j -2 9j−5j−7+5=j−2

STEP 4

Now, let's check the first option 4j−24j -24j−2. This is exactly the same as the simplified expression we obtained, so it is equivalent to the given expression.

STEP 5

Next, let's check the second option (−5j+5)+(9j+−7)(-5 j+5)+(9 j+-7)(−5j+5)+(9j+−7). We can simplify this by combining like terms.(−5j+5)+(9j+−7)=−5j+9j+5−7 (-5 j+5)+(9 j+-7) = -5j +9j +5 -7 (−5j+5)+(9j+−7)=−5j+9j+5−7

STEP 6

Now, let's simplify the expression further by performing the operations.−5j+9j+5−=4j−2 -5j +9j +5 - =4j -2 −5j+9j+5−=4j−2This is the same as the simplified expression we obtained, so it is also equivalent to the given expression.

STEP 7

Next, let's check the third option −2j+4-2 j+4−2j+4. This is not the same as the simplified expression we obtained, so it is not equivalent to the given expression.

STEP 8

Finally, let's check the fourth option j+5−7+−5j j+5-7+-5 jj+5−7+−5j. We can simplify this by combining like terms.j+5−7+−5j=j−5j−7+5 j+5-7+-5 j =j -5j -7 +5 j+5−7+−5j=j−5j−7+5

STEP 9

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QuestionFind expressions equivalent to $(9 j-7)+(-5 j+5)$ . Options: $4 j-2$ , $(-5 j+5)+(9 j+-7)$ , $-2 j+4$ , $9 j+5-7+-5 j$ .

Assumptions1. We are given the expression $(9 j-7)+(-5 j+5)$ . . We are asked to find the expressions that are equivalent to the given expression.

First, let's simplify the given expression. We can do this by combining like terms.
$(9 j-7)+(-5 j+5) =9j -5j -7 +5$

Now, let's simplify the expression further by performing the operations.
$9j -5j -7 +5 =j -2$

Now, let's check the first option $4j -2$ . This is exactly the same as the simplified expression we obtained, so it is equivalent to the given expression.

Next, let's check the second option $(-5 j+5)+(9 j+-7)$ . We can simplify this by combining like terms.
$(-5 j+5)+(9 j+-7) = -5j +9j +5 -7$

Now, let's simplify the expression further by performing the operations.
$-5j +9j +5 - =4j -2$ This is the same as the simplified expression we obtained, so it is also equivalent to the given expression.

Next, let's check the third option $-2 j+4$ . This is not the same as the simplified expression we obtained, so it is not equivalent to the given expression.

Finally, let's check the fourth option $j+5-7+-5 j$ . We can simplify this by combining like terms.
$j+5-7+-5 j =j -5j -7 +5$