Common Core: 6th Grade Math : Understand What Makes an Equation or Inequality True and Why: CCSS.Math.Content.6.EE.B.5

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #406 : Expressions & Equations

Which value for \(\displaystyle x\) would make the equation below true? 

 \(\displaystyle 56=85-x\)

 

Possible Answers:

\(\displaystyle 29\)

\(\displaystyle 31\)

\(\displaystyle 28\)

\(\displaystyle 30\)

\(\displaystyle 32\)

Correct answer:

\(\displaystyle 29\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 85-30=55\)

\(\displaystyle 85-31=54\)

\(\displaystyle 85-32=53\)

\(\displaystyle {\color{Teal} 85-29=56}\)

\(\displaystyle 85-28=57\)

Because we are looking for the number that when subtracted from \(\displaystyle 85\) equals \(\displaystyle 56\), our correct answer is \(\displaystyle 29\)

Example Question #407 : Expressions & Equations

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 64=89-x\)

 

Possible Answers:

\(\displaystyle 26\)

\(\displaystyle 22\)

\(\displaystyle 24\)

\(\displaystyle 25\)

\(\displaystyle 23\)

Correct answer:

\(\displaystyle 25\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 89-22=67\)

\(\displaystyle 89-23=66\)

\(\displaystyle 89-24=65\)

\(\displaystyle {\color{Teal} 89-25=64}\)

\(\displaystyle 89-26=63\)

Because we are looking for the number that when subtracted from \(\displaystyle 89\) equals \(\displaystyle 64\), our correct answer is \(\displaystyle 25\)

Example Question #408 : Expressions & Equations

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 75=79-x\)

 

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 6\)

\(\displaystyle 3\)

\(\displaystyle 5\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 4\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 79-2=77\)

\(\displaystyle 79-6=73\)

\(\displaystyle 79-5=74\)

\(\displaystyle {\color{Teal} 79-4=75}\)

\(\displaystyle 79-3=76\)

Because we are looking for the number that when subtracted from \(\displaystyle 79\) equals \(\displaystyle 75\), our correct answer is \(\displaystyle 4\)

Example Question #409 : Expressions & Equations

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 19=82-x\)

 

 

Possible Answers:

\(\displaystyle 61\)

\(\displaystyle 60\)

\(\displaystyle 62\)

\(\displaystyle 63\)

\(\displaystyle 64\)

Correct answer:

\(\displaystyle 63\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 82-61=21\)

\(\displaystyle 82-60=22\)

\(\displaystyle 82-62=20\)

\(\displaystyle {\color{Teal} 82-63=19}\)

\(\displaystyle 82-64=18\)

Because we are looking for the number that when subtracted from \(\displaystyle 82\) equals \(\displaystyle 19\), our correct answer is \(\displaystyle 63\)

Example Question #410 : Expressions & Equations

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 55=94-x\)

 

Possible Answers:

\(\displaystyle 41\)

\(\displaystyle 42\)

\(\displaystyle 39\)

\(\displaystyle 40\)

\(\displaystyle 38\)

Correct answer:

\(\displaystyle 39\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 94-41=53\)

\(\displaystyle 94-42=52\)

\(\displaystyle 94-40=54\)

\(\displaystyle {\color{Teal} 94-39=55}\)

\(\displaystyle 94-38=56\)

Because we are looking for the number that when subtracted from \(\displaystyle 94\) equals \(\displaystyle 55\), our correct answer is \(\displaystyle 39\)

Example Question #51 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 17=54-x\)

 

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 38\)

\(\displaystyle 35\)

\(\displaystyle 37\)

\(\displaystyle 39\)

Correct answer:

\(\displaystyle 37\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 54-38=16\)

\(\displaystyle 54-39=15\)

\(\displaystyle 54-35=19\)

\(\displaystyle {\color{Teal} 54-37=17}\)

\(\displaystyle 54-36=18\)

Because we are looking for the number that when subtracted from \(\displaystyle 54\) equals \(\displaystyle 17\), our correct answer is \(\displaystyle 37\)

Example Question #52 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 4=27-x\)

 

Possible Answers:

\(\displaystyle 23\)

\(\displaystyle 24\)

\(\displaystyle 27\)

\(\displaystyle 25\)

\(\displaystyle 26\)

Correct answer:

\(\displaystyle 23\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 27-27=0\)

\(\displaystyle 27-26=1\)

\(\displaystyle 27-25=2\)

\(\displaystyle {\color{Teal} 27-23=4}\)

\(\displaystyle 27-24=3\)

Because we are looking for the number that when subtracted from \(\displaystyle 27\) equals \(\displaystyle 4\), our correct answer is \(\displaystyle 23\)

Example Question #53 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 49=99-x\)

 

Possible Answers:

\(\displaystyle 52\)

\(\displaystyle 49\)

\(\displaystyle 50\)

\(\displaystyle 53\)

\(\displaystyle 51\)

Correct answer:

\(\displaystyle 50\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 99-52=47\)

\(\displaystyle 99-53=46\)

\(\displaystyle 99-51=48\)

\(\displaystyle {\color{Teal} 99-50=49}\)

\(\displaystyle 99-49=50\)

Because we are looking for the number that when subtracted from \(\displaystyle 99\) equals \(\displaystyle 49\), our correct answer is \(\displaystyle 50\)

Example Question #54 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 19=39-x\)

 

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 18\)

\(\displaystyle 20\)

\(\displaystyle 17\)

\(\displaystyle 19\)

Correct answer:

\(\displaystyle 20\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 39-17=22\)

\(\displaystyle 39-18=21\)

\(\displaystyle 39-19=20\)

\(\displaystyle {\color{Teal} 39-20=19}\)

\(\displaystyle 39-16=23\)

Because we are looking for the number that when subtracted from \(\displaystyle 39\) equals \(\displaystyle 19\), our correct answer is \(\displaystyle 20\)

Example Question #55 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Which value for \(\displaystyle x\) would make the equation below true? 

\(\displaystyle 32=45-x\)

 

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 12\)

\(\displaystyle 9\)

\(\displaystyle 10\)

\(\displaystyle 13\)

Correct answer:

\(\displaystyle 13\)

Explanation:

We can use substitution to determine the value of \(\displaystyle x\)

\(\displaystyle 45-9=36\)

\(\displaystyle 45-10=35\)

\(\displaystyle 45-11=34\)

\(\displaystyle 45-12=33\)

\(\displaystyle {\color{Teal} 45-13=32}\)

Because we are looking for the number that when subtracted from \(\displaystyle 45\) equals \(\displaystyle 32\), our correct answer is \(\displaystyle 13\)

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