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 #401 : Expressions & Equations

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

 \displaystyle 56=85-x

 

Possible Answers:

\displaystyle 28

\displaystyle 29

\displaystyle 32

\displaystyle 30

\displaystyle 31

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 #402 : Expressions & Equations

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

\displaystyle 64=89-x

 

Possible Answers:

\displaystyle 26

\displaystyle 25

\displaystyle 23

\displaystyle 24

\displaystyle 22

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 #403 : Expressions & Equations

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

\displaystyle 75=79-x

 

Possible Answers:

\displaystyle 3

\displaystyle 6

\displaystyle 2

\displaystyle 4

\displaystyle 5

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 #404 : Expressions & Equations

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

\displaystyle 19=82-x

 

 

Possible Answers:

\displaystyle 62

\displaystyle 61

\displaystyle 63

\displaystyle 60

\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 #405 : Expressions & Equations

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

\displaystyle 55=94-x

 

Possible Answers:

\displaystyle 40

\displaystyle 38

\displaystyle 41

\displaystyle 39

\displaystyle 42

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 #861 : Grade 6

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

\displaystyle 17=54-x

 

Possible Answers:

\displaystyle 36

\displaystyle 35

\displaystyle 38

\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 #411 : Expressions & Equations

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

\displaystyle 4=27-x

 

Possible Answers:

\displaystyle 26

\displaystyle 27

\displaystyle 25

\displaystyle 23

\displaystyle 24

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 #412 : Expressions & Equations

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

\displaystyle 49=99-x

 

Possible Answers:

\displaystyle 49

\displaystyle 52

\displaystyle 51

\displaystyle 50

\displaystyle 53

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 #413 : Expressions & Equations

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

\displaystyle 19=39-x

 

Possible Answers:

\displaystyle 18

\displaystyle 16

\displaystyle 17

\displaystyle 19

\displaystyle 20

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 #414 : Expressions & Equations

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

\displaystyle 32=45-x

 

Possible Answers:

\displaystyle 9

\displaystyle 12

\displaystyle 11

\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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