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Common Core: 6th Grade Math : Expressions & Equations

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

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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?

17=54-x $\displaystyle 17=54-x$

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 $\displaystyle x$.

$\displaystyle 54-38=16$

$\displaystyle 54-39=15$

$\displaystyle 54-35=19$

${\color{Teal} 54-37=17}$ $\displaystyle {\color{Teal} 54-37=17}$

$\displaystyle 54-36=18$

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

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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?

4=27-x $\displaystyle 4=27-x$

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 $\displaystyle x$.

27-27=0 $\displaystyle 27-27=0$

27-26=1 $\displaystyle 27-26=1$

27-25=2 $\displaystyle 27-25=2$

${\color{Teal} 27-23=4}$ $\displaystyle {\color{Teal} 27-23=4}$

27-24=3 $\displaystyle 27-24=3$

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

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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?

49=99-x $\displaystyle 49=99-x$

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 $\displaystyle x$.

$\displaystyle 99-52=47$

$\displaystyle 99-53=46$

$\displaystyle 99-51=48$

${\color{Teal} 99-50=49}$ $\displaystyle {\color{Teal} 99-50=49}$

$\displaystyle 99-49=50$

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

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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?

19=39-x $\displaystyle 19=39-x$

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 $\displaystyle x$.

$\displaystyle 39-17=22$

$\displaystyle 39-18=21$

$\displaystyle 39-19=20$

${\color{Teal} 39-20=19}$ $\displaystyle {\color{Teal} 39-20=19}$

$\displaystyle 39-16=23$

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

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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?

32=45-x $\displaystyle 32=45-x$

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 $\displaystyle x$.

45-9=36 $\displaystyle 45-9=36$

$\displaystyle 45-10=35$

$\displaystyle 45-11=34$

$\displaystyle 45-12=33$

${\color{Teal} 45-13=32}$ $\displaystyle {\color{Teal} 45-13=32}$

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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Example Question #411 : Expressions & Equations

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

28=83-x $\displaystyle 28=83-x$

Possible Answers:

$\displaystyle 55$

$\displaystyle 58$

$\displaystyle 56$

$\displaystyle 57$

$\displaystyle 59$

Correct answer:

$\displaystyle 55$

Explanation:

We can use substitution to determine the value of $\displaystyle x$.

$\displaystyle 83-59=24$

$\displaystyle 83-58=25$

$\displaystyle 83-57=26$

$\displaystyle 83-56=27$

${\color{Teal} 83-55=28}$ $\displaystyle {\color{Teal} 83-55=28}$

Because we are looking for the number that when subtracted from $\displaystyle 83$ equals $\displaystyle 28$, our correct answer is $\displaystyle 55$

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Example Question #62 : 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?

27=65-x $\displaystyle 27=65-x$

Possible Answers:

$\displaystyle 34$

$\displaystyle 36$

$\displaystyle 35$

$\displaystyle 37$

$\displaystyle 38$

Correct answer:

$\displaystyle 38$

Explanation:

We can use substitution to determine the value of $\displaystyle x$.

$\displaystyle 65-35=30$

$\displaystyle 65-34=31$

$\displaystyle 65-36=29$

$\displaystyle 65-37=28$

${\color{Teal} 65-38=27}$ $\displaystyle {\color{Teal} 65-38=27}$

Because we are looking for the number that when subtracted from $\displaystyle 65$ equals $\displaystyle 27$, our correct answer is $\displaystyle 38$

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Example Question #63 : 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?

50=99-x $\displaystyle 50=99-x$

Possible Answers:

$\displaystyle 50$

$\displaystyle 51$

$\displaystyle 53$

$\displaystyle 52$

$\displaystyle 49$

Correct answer:

$\displaystyle 49$

Explanation:

We can use substitution to determine the value of $\displaystyle x$.

$\displaystyle 99-52=47$

$\displaystyle 99-53=46$

$\displaystyle 99-51=48$

$\displaystyle 99-50=49$

${\color{Teal} 99-49=50}$ $\displaystyle {\color{Teal} 99-49=50}$

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

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Example Question #64 : 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?

57=85-x $\displaystyle 57=85-x$

Possible Answers:

$\displaystyle 29$

$\displaystyle 32$

$\displaystyle 28$

$\displaystyle 27$

$\displaystyle 31$

Correct answer:

$\displaystyle 28$

Explanation:

We can use substitution to determine the value of $\displaystyle x$.

$\displaystyle 85-27=58$

$\displaystyle 85-31=54$

$\displaystyle 85-32=53$

$\displaystyle 85-29=56$

${\color{Teal} 85-28=57}$ $\displaystyle {\color{Teal} 85-28=57}$

Because we are looking for the number that when subtracted from $\displaystyle 85$ equals $\displaystyle 57$, our correct answer is $\displaystyle 28$

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Example Question #65 : 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?

63=89-x $\displaystyle 63=89-x$

Possible Answers:

$\displaystyle 24$

$\displaystyle 27$

$\displaystyle 23$

$\displaystyle 25$

$\displaystyle 26$

Correct answer:

$\displaystyle 26$

Explanation:

We can use substitution to determine the value of $\displaystyle x$.

$\displaystyle 89-27=62$

$\displaystyle 89-23=66$

$\displaystyle 89-24=65$

$\displaystyle 89-25=64$

${\color{Teal} 89-26=63}$ $\displaystyle {\color{Teal} 89-26=63}$

Because we are looking for the number that when subtracted from $\displaystyle 89$ equals $\displaystyle 63$, our correct answer is $\displaystyle 26$

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All Common Core: 6th Grade Math Resources

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Common Core: 6th Grade Math : Expressions & Equations

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

All Common Core: 6th Grade Math Resources

Example Questions

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

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

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

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

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

Example Question #411 : Expressions & Equations

Example Question #62 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Example Question #63 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Example Question #64 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

Example Question #65 : Understand What Makes An Equation Or Inequality True And Why: Ccss.Math.Content.6.Ee.B.5

All Common Core: 6th Grade Math Resources

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