QuestionFind equivalent expressions for $(7 m+7)+(6 m+5)$ . Options include: $13 m+12$ , $13 m+7+5$ , $(7+7 m)+(5+6 m)$ , $7 m+(7+6 m)+5$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $(7 m+7)+(6 m+5)$ . We are looking for expressions that are equivalent to the given expression

STEP 2

First, we simplify the given expression by combining like terms. Like terms are terms that have the same variables and powers. The coefficients do not need to match.
$(7 m+7)+(6 m+5) =7m +6m +7 +5$

STEP 3

Now, we add the coefficients of the like terms to simplify the expression further.
$7m +6m +7 +5 =13m +12$

STEP 4

Now, we compare the simplified expression with the given options. The first option is $13 m+12$ , which is the same as our simplified expression.

STEP 5

The second option is $13 m+7+5$ . This expression is not equivalent to our simplified expression as it has not been fully simplified. If we simplify it, we get $13m +12$ , which is equivalent to our simplified expression.

STEP 6

The third option is $(+ m)+(5+6 m)$ . This expression is equivalent to our simplified expression if we rearrange the terms and combine like terms.

STEP 7

The fourth option is $7 m+(7+6 m)+5$ . This expression is equivalent to our simplified expression if we rearrange the terms and combine like terms.
So, the expressions equivalent to $(7 m+7)+(6 m+5)$ are $13 m+12$ , $13 m+7+5$ , $(7+7 m)+(5+6 m)$ , and $7 m+(7+6 m)+5$ .

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QuestionFind equivalent expressions for $(7 m+7)+(6 m+5)$ . Options include: $13 m+12$ , $13 m+7+5$ , $(7+7 m)+(5+6 m)$ , $7 m+(7+6 m)+5$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $(7 m+7)+(6 m+5)$ . We are looking for expressions that are equivalent to the given expression

STEP 2

First, we simplify the given expression by combining like terms. Like terms are terms that have the same variables and powers. The coefficients do not need to match.
$(7 m+7)+(6 m+5) =7m +6m +7 +5$

STEP 3

Now, we add the coefficients of the like terms to simplify the expression further.
$7m +6m +7 +5 =13m +12$

STEP 4

Now, we compare the simplified expression with the given options. The first option is $13 m+12$ , which is the same as our simplified expression.

STEP 5

The second option is $13 m+7+5$ . This expression is not equivalent to our simplified expression as it has not been fully simplified. If we simplify it, we get $13m +12$ , which is equivalent to our simplified expression.

STEP 6

The third option is $(+ m)+(5+6 m)$ . This expression is equivalent to our simplified expression if we rearrange the terms and combine like terms.

STEP 7

The fourth option is $7 m+(7+6 m)+5$ . This expression is equivalent to our simplified expression if we rearrange the terms and combine like terms.
So, the expressions equivalent to $(7 m+7)+(6 m+5)$ are $13 m+12$ , $13 m+7+5$ , $(7+7 m)+(5+6 m)$ , and $7 m+(7+6 m)+5$ .

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QuestionFind equivalent expressions for (7m+7)+(6m+5)(7 m+7)+(6 m+5)(7m+7)+(6m+5). Options include: 13m+1213 m+1213m+12, 13m+7+513 m+7+513m+7+5, (7+7m)+(5+6m)(7+7 m)+(5+6 m)(7+7m)+(5+6m), 7m+(7+6m)+57 m+(7+6 m)+57m+(7+6m)+5.

Studdy Solution

STEP 1

Assumptions1. The given expression is (7m+7)+(6m+5)(7 m+7)+(6 m+5)(7m+7)+(6m+5). We are looking for expressions that are equivalent to the given expression

STEP 2

First, we simplify the given expression by combining like terms. Like terms are terms that have the same variables and powers. The coefficients do not need to match.(7m+7)+(6m+5)=7m+6m+7+5(7 m+7)+(6 m+5) =7m +6m +7 +5(7m+7)+(6m+5)=7m+6m+7+5

STEP 3

Now, we add the coefficients of the like terms to simplify the expression further.7m+6m+7+5=13m+127m +6m +7 +5 =13m +127m+6m+7+5=13m+12

STEP 4

Now, we compare the simplified expression with the given options. The first option is 13m+1213 m+1213m+12, which is the same as our simplified expression.

STEP 5

The second option is 13m+7+513 m+7+513m+7+5. This expression is not equivalent to our simplified expression as it has not been fully simplified. If we simplify it, we get 13m+1213m +1213m+12, which is equivalent to our simplified expression.

STEP 6

The third option is (+m)+(5+6m)(+ m)+(5+6 m)(+m)+(5+6m). This expression is equivalent to our simplified expression if we rearrange the terms and combine like terms.

STEP 7

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QuestionFind equivalent expressions for $(7 m+7)+(6 m+5)$ . Options include: $13 m+12$ , $13 m+7+5$ , $(7+7 m)+(5+6 m)$ , $7 m+(7+6 m)+5$ .

Assumptions1. The given expression is $(7 m+7)+(6 m+5)$ . We are looking for expressions that are equivalent to the given expression

First, we simplify the given expression by combining like terms. Like terms are terms that have the same variables and powers. The coefficients do not need to match.
$(7 m+7)+(6 m+5) =7m +6m +7 +5$

Now, we add the coefficients of the like terms to simplify the expression further.
$7m +6m +7 +5 =13m +12$

Now, we compare the simplified expression with the given options. The first option is $13 m+12$ , which is the same as our simplified expression.

The second option is $13 m+7+5$ . This expression is not equivalent to our simplified expression as it has not been fully simplified. If we simplify it, we get $13m +12$ , which is equivalent to our simplified expression.

The third option is $(+ m)+(5+6 m)$ . This expression is equivalent to our simplified expression if we rearrange the terms and combine like terms.