QuestionFind expressions equivalent to $7(7 p+3)+2$ . Options include:
1. $7 p+23$
2. $(7 p+3) 7+2$
3. $7(3 p+4 p+3)+2$
4. $7(3+7 p)+2$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $7(7p+3)+$ and we need to find the expressions that are equivalent to it. . The expressions given are $7p+23$ , $(7p+3)7+$ , $7(3p+4p+3)+$ , and $7(3+7p)+$ .

STEP 2

First, let's simplify the given expression $7(7p+)+2$ .
$7(7p+)+2 =49p +21 +2 =49p +23$

STEP 3

Now, let's check each expression to see if it is equivalent to $49p +23$ .
First, check $7p+23$ .
$7p+23 \neq49p +23$ So, $7p+23$ is not equivalent to $7(7p+3)+2$ .

STEP 4

Next, check $(7p+3)7+2$ .
$(7p+3)7+2 =49p +21 +2 =49p +23$ So, $(7p+3)7+2$ is equivalent to $7(7p+3)+2$ .

STEP 5

Next, check $7(3p+4p+3)+2$ .
$7(3p+4p+3)+2 =7(7p+3)+2 =49p +21 +2 =49p +23$ So, $7(3p+4p+3)+2$ is equivalent to $7(7p+3)+2$ .

STEP 6

Finally, check $(3+p)+2$ .
$(3+p)+2 =(p+3)+2 =49p +21 +2 =49p +23$ So, $(3+p)+2$ is equivalent to $(p+3)+2$ .
The expressions equivalent to $(p+3)+2$ are $(p+3)+2$ , $(3p+4p+3)+2$ , and $(3+p)+2$ .

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QuestionFind expressions equivalent to $7(7 p+3)+2$ . Options include:
1. $7 p+23$
2. $(7 p+3) 7+2$
3. $7(3 p+4 p+3)+2$
4. $7(3+7 p)+2$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $7(7p+3)+$ and we need to find the expressions that are equivalent to it. . The expressions given are $7p+23$ , $(7p+3)7+$ , $7(3p+4p+3)+$ , and $7(3+7p)+$ .

STEP 2

First, let's simplify the given expression $7(7p+)+2$ .
$7(7p+)+2 =49p +21 +2 =49p +23$

STEP 3

Now, let's check each expression to see if it is equivalent to $49p +23$ .
First, check $7p+23$ .
$7p+23 \neq49p +23$ So, $7p+23$ is not equivalent to $7(7p+3)+2$ .

STEP 4

Next, check $(7p+3)7+2$ .
$(7p+3)7+2 =49p +21 +2 =49p +23$ So, $(7p+3)7+2$ is equivalent to $7(7p+3)+2$ .

STEP 5

Next, check $7(3p+4p+3)+2$ .
$7(3p+4p+3)+2 =7(7p+3)+2 =49p +21 +2 =49p +23$ So, $7(3p+4p+3)+2$ is equivalent to $7(7p+3)+2$ .

STEP 6

Finally, check $(3+p)+2$ .
$(3+p)+2 =(p+3)+2 =49p +21 +2 =49p +23$ So, $(3+p)+2$ is equivalent to $(p+3)+2$ .
The expressions equivalent to $(p+3)+2$ are $(p+3)+2$ , $(3p+4p+3)+2$ , and $(3+p)+2$ .

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QuestionFind expressions equivalent to 7(7p+3)+27(7 p+3)+27(7p+3)+2. Options include: 1. 7p+237 p+237p+232. (7p+3)7+2(7 p+3) 7+2(7p+3)7+23. 7(3p+4p+3)+27(3 p+4 p+3)+27(3p+4p+3)+24. 7(3+7p)+27(3+7 p)+27(3+7p)+2

Studdy Solution

STEP 1

Assumptions1. We are given the expression 7(7p+3)+7(7p+3)+7(7p+3)+ and we need to find the expressions that are equivalent to it. . The expressions given are 7p+237p+237p+23, (7p+3)7+(7p+3)7+(7p+3)7+, 7(3p+4p+3)+7(3p+4p+3)+7(3p+4p+3)+, and 7(3+7p)+7(3+7p)+7(3+7p)+.

STEP 2

First, let's simplify the given expression 7(7p+)+27(7p+)+27(7p+)+2.7(7p+)+2=49p+21+2=49p+237(7p+)+2 =49p +21 +2 =49p +237(7p+)+2=49p+21+2=49p+23

STEP 3

Now, let's check each expression to see if it is equivalent to 49p+2349p +2349p+23.First, check 7p+237p+237p+23.7p+23≠49p+237p+23 \neq49p +237p+23=49p+23So, 7p+237p+237p+23 is not equivalent to 7(7p+3)+27(7p+3)+27(7p+3)+2.

STEP 4

Next, check (7p+3)7+2(7p+3)7+2(7p+3)7+2.(7p+3)7+2=49p+21+2=49p+23(7p+3)7+2 =49p +21 +2 =49p +23(7p+3)7+2=49p+21+2=49p+23So, (7p+3)7+2(7p+3)7+2(7p+3)7+2 is equivalent to 7(7p+3)+27(7p+3)+27(7p+3)+2.

STEP 5

Next, check 7(3p+4p+3)+27(3p+4p+3)+27(3p+4p+3)+2.7(3p+4p+3)+2=7(7p+3)+2=49p+21+2=49p+237(3p+4p+3)+2 =7(7p+3)+2 =49p +21 +2 =49p +237(3p+4p+3)+2=7(7p+3)+2=49p+21+2=49p+23So, 7(3p+4p+3)+27(3p+4p+3)+27(3p+4p+3)+2 is equivalent to 7(7p+3)+27(7p+3)+27(7p+3)+2.

STEP 6

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QuestionFind expressions equivalent to $7(7 p+3)+2$ . Options include:
1. $7 p+23$
2. $(7 p+3) 7+2$
3. $7(3 p+4 p+3)+2$
4. $7(3+7 p)+2$

Assumptions1. We are given the expression $7(7p+3)+$ and we need to find the expressions that are equivalent to it. . The expressions given are $7p+23$ , $(7p+3)7+$ , $7(3p+4p+3)+$ , and $7(3+7p)+$ .

First, let's simplify the given expression $7(7p+)+2$ .
$7(7p+)+2 =49p +21 +2 =49p +23$

Now, let's check each expression to see if it is equivalent to $49p +23$ .
First, check $7p+23$ .
$7p+23 \neq49p +23$ So, $7p+23$ is not equivalent to $7(7p+3)+2$ .

Next, check $(7p+3)7+2$ .
$(7p+3)7+2 =49p +21 +2 =49p +23$ So, $(7p+3)7+2$ is equivalent to $7(7p+3)+2$ .

Next, check $7(3p+4p+3)+2$ .
$7(3p+4p+3)+2 =7(7p+3)+2 =49p +21 +2 =49p +23$ So, $7(3p+4p+3)+2$ is equivalent to $7(7p+3)+2$ .