Common Core: 6th Grade Math : Grade 6

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

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Example Questions

Example Question #33 : 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 15=54-x

 

Possible Answers:

\displaystyle 39

\displaystyle 38

\displaystyle 37

\displaystyle 40

\displaystyle 36

Correct answer:

\displaystyle 39

Explanation:

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

\displaystyle 54-38=16

\displaystyle {\color{Teal} 54-39=15}

\displaystyle 54-40=14

\displaystyle 54-37=17

\displaystyle 54-36=18

Because we are looking for the number that when subtracted from \displaystyle 54 equals \displaystyle 15, our correct answer is \displaystyle 39

Example Question #34 : 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 21=39-x

 

Possible Answers:

\displaystyle 21

\displaystyle 18

\displaystyle 17

\displaystyle 19

\displaystyle 20

Correct answer:

\displaystyle 18

Explanation:

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

\displaystyle 39-17=22

\displaystyle {\color{Teal} 39-18=21}

\displaystyle 39-19=20

\displaystyle 39-20=19

\displaystyle 39-21=18

Because we are looking for the number that when subtracted from \displaystyle 39 equals \displaystyle 21, our correct answer is \displaystyle 18

Example Question #35 : 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 6=27-x

 

Possible Answers:

\displaystyle 22

\displaystyle 23

\displaystyle 21

\displaystyle 24

\displaystyle 20

Correct answer:

\displaystyle 21

Explanation:

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

\displaystyle 27-22=5

\displaystyle {\color{Teal} 27-21=6}

\displaystyle 27-20=7

\displaystyle 27-23=4

\displaystyle 27-24=3

Because we are looking for the number that when subtracted from \displaystyle 27 equals \displaystyle 6, our correct answer is \displaystyle 21

Example Question #391 : Expressions & Equations

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

\displaystyle 34=45-x

 

Possible Answers:

\displaystyle 9

\displaystyle 11

\displaystyle 10

\displaystyle 13

\displaystyle 12

Correct answer:

\displaystyle 11

Explanation:

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

\displaystyle 45-9=36

\displaystyle 45-10=35

\displaystyle {\color{Teal} 45-11=34}

\displaystyle 45-12=33

\displaystyle 45-13=32

Because we are looking for the number that when subtracted from \displaystyle 45 equals \displaystyle 34, our correct answer is \displaystyle 11

Example Question #392 : Expressions & Equations

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

\displaystyle 26=83-x

 

Possible Answers:

\displaystyle 56

\displaystyle 55

\displaystyle 59

\displaystyle 57

\displaystyle 58

Correct answer:

\displaystyle 57

Explanation:

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

\displaystyle 83-59=24

\displaystyle 83-58=25

\displaystyle {\color{Teal} 83-57=26}

\displaystyle 83-56=27

\displaystyle 83-55=28

Because we are looking for the number that when subtracted from \displaystyle 83 equals \displaystyle 26, our correct answer is \displaystyle 57

Example Question #393 : Expressions & Equations

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

\displaystyle 29=65-x

 

Possible Answers:

\displaystyle 37

\displaystyle 35

\displaystyle 34

\displaystyle 38

\displaystyle 36

Correct answer:

\displaystyle 36

Explanation:

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

\displaystyle 65-35=30

\displaystyle 65-34=31

\displaystyle {\color{Teal} 65-36=29}

\displaystyle 65-37=28

\displaystyle 65-38=27

Because we are looking for the number that when subtracted from \displaystyle 65 equals \displaystyle 29, our correct answer is \displaystyle 36

Example Question #394 : Expressions & Equations

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

\displaystyle 48=99-x

 

Possible Answers:

\displaystyle 54

\displaystyle 52

\displaystyle 53

\displaystyle 55

\displaystyle 51

Correct answer:

\displaystyle 51

Explanation:

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

\displaystyle 99-52=47

\displaystyle 99-53=46

\displaystyle {\color{Teal} 99-51=48}

\displaystyle 99-54=45

\displaystyle 99-55=44

Because we are looking for the number that when subtracted from \displaystyle 99 equals \displaystyle 48, our correct answer is \displaystyle 51

Example Question #395 : Expressions & Equations

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

 \displaystyle 53=85-x

 

Possible Answers:

\displaystyle 26

\displaystyle 32

\displaystyle 27

\displaystyle 28

\displaystyle 29

Correct answer:

\displaystyle 32

Explanation:

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

\displaystyle 85-27=58

\displaystyle 85-26=59

\displaystyle {\color{Teal} 85-32=53}

\displaystyle 85-29=56

\displaystyle 85-28=57

Because we are looking for the number that when subtracted from \displaystyle 85 equals \displaystyle 53, our correct answer is \displaystyle 32

Example Question #41 : 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 65=89-x

 

Possible Answers:

\displaystyle 27

\displaystyle 26

\displaystyle 25

\displaystyle 24

\displaystyle 28

Correct answer:

\displaystyle 24

Explanation:

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

\displaystyle 89-27=62

\displaystyle 89-28=61

\displaystyle {\color{Teal} 89-24=65}

\displaystyle 89-25=64

\displaystyle 89-26=63

Because we are looking for the number that when subtracted from \displaystyle 89 equals \displaystyle 65, our correct answer is \displaystyle 24

Example Question #397 : Expressions & Equations

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

\displaystyle 74=79-x

 

Possible Answers:

\displaystyle 4

\displaystyle 8

\displaystyle 6

\displaystyle 7

\displaystyle 5

Correct answer:

\displaystyle 5

Explanation:

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

\displaystyle 79-7=72

\displaystyle 79-6=73

\displaystyle {\color{Teal} 79-5=74}

\displaystyle 79-4=75

\displaystyle 79-8=71

Because we are looking for the number that when subtracted from \displaystyle 79 equals \displaystyle 74, our correct answer is \displaystyle 5

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