Common Core: 7th Grade Math : Describe Situations in Which Opposite Quantities Combine to Make 0: CCSS.Math.Content.7.NS.A.1a

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #31 : The Number System

For the equation provided, what value, when substituted for \(\displaystyle x\), will equal \(\displaystyle 0?\)

\(\displaystyle 94-x=0\)

 

Possible Answers:

\(\displaystyle 0\)

\(\displaystyle 90\)

\(\displaystyle 1\)

\(\displaystyle 94\)

\(\displaystyle -94\)

Correct answer:

\(\displaystyle 94\)

Explanation:

In order to answer this question, we can solve for \(\displaystyle x\). When solving for \(\displaystyle x\) we need to isolate the \(\displaystyle x\) variable on one side of the equation. 

We can add \(\displaystyle x\) to both sides in order to isolate the variable, \(\displaystyle x\).

\(\displaystyle \frac{\begin{array}[b]{r}94-x=0\\ +x+x\end{array}}{\\\\94=x}\)

Example Question #32 : The Number System

For the equation provided, what value, when substituted for \(\displaystyle x\), will equal \(\displaystyle 0?\)

\(\displaystyle 83-x=0\)

 

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 0\)

\(\displaystyle -80\)

\(\displaystyle -83\)

\(\displaystyle 83\)

Correct answer:

\(\displaystyle 83\)

Explanation:

In order to answer this question, we can solve for \(\displaystyle x\). When solving for \(\displaystyle x\) we need to isolate the \(\displaystyle x\) variable on one side of the equation. 

We can add \(\displaystyle x\) to both sides in order to isolate the variable, \(\displaystyle x\).

\(\displaystyle \frac{\begin{array}[b]{r}83-x=0\\ +x+x\end{array}}{\\\\83=x}\)

Example Question #221 : Grade 7

For the equation provided, what value, when substituted for \(\displaystyle x\), will equal \(\displaystyle 0?\)

\(\displaystyle 75-x=0\)

 

Possible Answers:

\(\displaystyle 75\)

\(\displaystyle 25\)

\(\displaystyle 1\)

\(\displaystyle 0\)

\(\displaystyle -75\)

Correct answer:

\(\displaystyle 75\)

Explanation:

In order to answer this question, we can solve for \(\displaystyle x\). When solving for \(\displaystyle x\) we need to isolate the \(\displaystyle x\) variable on one side of the equation. 

We can add \(\displaystyle x\) to both sides in order to isolate the variable, \(\displaystyle x\).

\(\displaystyle \frac{\begin{array}[b]{r}75-x=0\\ +x+x\end{array}}{\\\\75=x}\)

Example Question #34 : The Number System

For the equation provided, what value, when substituted for \(\displaystyle x\), will equal \(\displaystyle 0?\)

\(\displaystyle 66-x=0\)

 

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 66\)

\(\displaystyle 60\)

\(\displaystyle 0\)

\(\displaystyle -66\)

Correct answer:

\(\displaystyle 66\)

Explanation:

In order to answer this question, we can solve for \(\displaystyle x\). When solving for \(\displaystyle x\) we need to isolate the \(\displaystyle x\) variable on one side of the equation. 

We can add \(\displaystyle x\) to both sides in order to isolate the variable, \(\displaystyle x\).

\(\displaystyle \frac{\begin{array}[b]{r}66-x=0\\ +x+x\end{array}}{\\\\66=x}\)

Example Question #35 : The Number System

For the equation provided, what value, when substituted for \(\displaystyle x\), will equal \(\displaystyle 0?\)

\(\displaystyle 59-x=0\)

 

Possible Answers:

\(\displaystyle 59\)

\(\displaystyle 0\)

\(\displaystyle 1\)

\(\displaystyle -59\)

\(\displaystyle -50\)

Correct answer:

\(\displaystyle 59\)

Explanation:

In order to answer this question, we can solve for \(\displaystyle x\). When solving for \(\displaystyle x\) we need to isolate the \(\displaystyle x\) variable on one side of the equation. 

We can add \(\displaystyle x\) to both sides in order to isolate the variable, \(\displaystyle x\).

\(\displaystyle \frac{\begin{array}[b]{r}59-x=0\\ +x+x\end{array}}{\\\\59=x}\)

Example Question #36 : The Number System

For the equation provided, what value, when substituted for \(\displaystyle x\), will equal \(\displaystyle 0?\)

\(\displaystyle 46-x=0\)

 

Possible Answers:

\(\displaystyle -42\)

\(\displaystyle 46\)

\(\displaystyle 1\)

\(\displaystyle 0\)

\(\displaystyle -46\)

Correct answer:

\(\displaystyle 46\)

Explanation:

In order to answer this question, we can solve for \(\displaystyle x\). When solving for \(\displaystyle x\) we need to isolate the \(\displaystyle x\) variable on one side of the equation. 

We can add \(\displaystyle x\) to both sides in order to isolate the variable, \(\displaystyle x\).

\(\displaystyle \frac{\begin{array}[b]{r}46-x=0\\ +x+x\end{array}}{\\\\46=x}\)

Example Question #31 : The Number System

Which value, when substituted for x, will make the equation \(\displaystyle 15-x=0\) true?

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 0\)

\(\displaystyle 15\)

\(\displaystyle 10\)

\(\displaystyle -15\)

Correct answer:

\(\displaystyle 15\)

Explanation:

In order to answer this question, we can solve for \(\displaystyle x\). When solving for \(\displaystyle x\) we need to isolate the \(\displaystyle x\) variable on one side of the equation. 

We can add \(\displaystyle x\) to both sides in order to isolate the variable, \(\displaystyle x\).

\(\displaystyle \frac{\begin{array}[b]{r}15-x=0\\ +x+x\end{array}}{\\\\15=x}\)

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