Solved on Dec 07, 2023

Find the equation that represents "The sum of $-4 x$ and 2 is 9".

STEP 1

Assumptions
1. The statement to be translated into an equation is "The sum of $-4x$ and 2 is 9".
2. "The sum of" indicates an addition operation.
3. "Is" corresponds to the equal sign in an equation.

STEP 2

Translate the statement into mathematical terms step by step. Start with the phrase "The sum of $-4x$ and 2".
$\text{The sum of } -4x \text{ and } 2$

STEP 3

The word "sum" indicates that we should add the two quantities mentioned, which are $-4x$ and 2.
$-4x + 2$

STEP 4

Now, incorporate the last part of the statement "is 9" into the equation. The word "is" translates to the equal sign in mathematics.
$-4x + 2 = 9$

STEP 5

Review the given options to identify the equation that matches our translation.
1. $-4x + 2 = 9$
2. $-4x + 9 = 2$
3. $-4x(2) = 9$
4. $-4x - 2 = 9$

STEP 6

Compare the translated equation with the given options.
The correct equation that matches the statement "The sum of $-4x$ and 2 is 9" is:
$-4x + 2 = 9$

STEP 7

Identify the correct option from the given choices.
The equation that matches the given statement is option (1):
$-4x + 2 = 9$

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Find the equation that represents "The sum of $-4 x$ and 2 is 9".

STEP 1

Assumptions
1. The statement to be translated into an equation is "The sum of $-4x$ and 2 is 9".
2. "The sum of" indicates an addition operation.
3. "Is" corresponds to the equal sign in an equation.

STEP 2

Translate the statement into mathematical terms step by step. Start with the phrase "The sum of $-4x$ and 2".
$\text{The sum of } -4x \text{ and } 2$

STEP 3

The word "sum" indicates that we should add the two quantities mentioned, which are $-4x$ and 2.
$-4x + 2$

STEP 4

Now, incorporate the last part of the statement "is 9" into the equation. The word "is" translates to the equal sign in mathematics.
$-4x + 2 = 9$

STEP 5

Review the given options to identify the equation that matches our translation.
1. $-4x + 2 = 9$
2. $-4x + 9 = 2$
3. $-4x(2) = 9$
4. $-4x - 2 = 9$

STEP 6

Compare the translated equation with the given options.
The correct equation that matches the statement "The sum of $-4x$ and 2 is 9" is:
$-4x + 2 = 9$

STEP 7

Identify the correct option from the given choices.
The equation that matches the given statement is option (1):
$-4x + 2 = 9$

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Find the equation that represents "The sum of −4x-4 x−4x and 2 is 9".

STEP 1

Assumptions1. The statement to be translated into an equation is "The sum of −4x-4x−4x and 2 is 9".2. "The sum of" indicates an addition operation.3. "Is" corresponds to the equal sign in an equation.

STEP 2

Translate the statement into mathematical terms step by step. Start with the phrase "The sum of −4x-4x−4x and 2".The sum of −4x and 2\text{The sum of } -4x \text{ and } 2The sum of −4x and 2

STEP 3

The word "sum" indicates that we should add the two quantities mentioned, which are −4x-4x−4x and 2.−4x+2-4x + 2−4x+2

STEP 4

Now, incorporate the last part of the statement "is 9" into the equation. The word "is" translates to the equal sign in mathematics.−4x+2=9-4x + 2 = 9−4x+2=9

STEP 5

Review the given options to identify the equation that matches our translation.1. −4x+2=9-4x + 2 = 9−4x+2=92. −4x+9=2-4x + 9 = 2−4x+9=23. −4x(2)=9-4x(2) = 9−4x(2)=94. −4x−2=9-4x - 2 = 9−4x−2=9

STEP 6

Compare the translated equation with the given options.The correct equation that matches the statement "The sum of −4x-4x−4x and 2 is 9" is:−4x+2=9-4x + 2 = 9−4x+2=9

STEP 7

Identify the correct option from the given choices.The equation that matches the given statement is option (1):−4x+2=9-4x + 2 = 9−4x+2=9

Start learning now

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

Find the equation that represents "The sum of $-4 x$ and 2 is 9".

Assumptions
1. The statement to be translated into an equation is "The sum of $-4x$ and 2 is 9".
2. "The sum of" indicates an addition operation.
3. "Is" corresponds to the equal sign in an equation.

Translate the statement into mathematical terms step by step. Start with the phrase "The sum of $-4x$ and 2".
$\text{The sum of } -4x \text{ and } 2$

The word "sum" indicates that we should add the two quantities mentioned, which are $-4x$ and 2.
$-4x + 2$

Now, incorporate the last part of the statement "is 9" into the equation. The word "is" translates to the equal sign in mathematics.
$-4x + 2 = 9$

Review the given options to identify the equation that matches our translation.
1. $-4x + 2 = 9$
2. $-4x + 9 = 2$
3. $-4x(2) = 9$
4. $-4x - 2 = 9$

Compare the translated equation with the given options.
The correct equation that matches the statement "The sum of $-4x$ and 2 is 9" is:
$-4x + 2 = 9$

Identify the correct option from the given choices.
The equation that matches the given statement is option (1):
$-4x + 2 = 9$