Common Core: 6th Grade Math : Expressions & Equations

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

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Example Questions

Example Question #11 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Select the equation or inequality that matches the number sentence below.

\displaystyle 93 is less than \displaystyle x plus \displaystyle 5

Possible Answers:

\displaystyle 93< x+5

\displaystyle 93>x+5

\displaystyle 93\geq x+5

\displaystyle 93=x+5

\displaystyle 93\leq x+5

Correct answer:

\displaystyle 93< x+5

Explanation:

Our number sentence has the phrase "less than" which means we have an inequality. 

"\displaystyle 93 is less than" can be written as \displaystyle 93<  because we replace the words "less than" with the less than symbol. 

Next, we have "\displaystyle x plus \displaystyle 5". This can be written as \displaystyle x+5 because plus means addition, so we replace the word "plus" with the addition symbol. 

When we put these pieces together we have \displaystyle 93< x+5

Example Question #11 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Select the equation or inequality that matches the number sentence below.

\displaystyle 8 is less than \displaystyle x plus \displaystyle 34

 

Possible Answers:

\displaystyle 8=x+34

\displaystyle 8\geq x+34

\displaystyle 8>x+34

\displaystyle 8< x+34

\displaystyle 8\leq x+34

Correct answer:

\displaystyle 8< x+34

Explanation:

Our number sentence has the phrase "less than" which means we have an inequality. 

"\displaystyle 8 is less than" can be written as \displaystyle 8<  because we replace the words "less than" with the less than symbol. 

Next, we have "\displaystyle x plus \displaystyle 34". This can be written as \displaystyle x+34 because plus means addition, so we replace the word "plus" with the addition symbol. 

When we put these pieces together we have \displaystyle 8< x+34

Example Question #12 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Select the equation or inequality that matches the number sentence below.

\displaystyle 29 is less than \displaystyle x plus \displaystyle 15

 

Possible Answers:

\displaystyle 29\geq x-15

\displaystyle 29\leq x+15

\displaystyle 29< x-1

\displaystyle 29=x+15

\displaystyle 29< x+15

Correct answer:

\displaystyle 29< x+15

Explanation:

Our number sentence has the phrase "less than" which means we have an inequality. 

"\displaystyle 29 is less than" can be written as \displaystyle 29<  because we replace the words "less than" with the less than symbol. 

Next, we have "\displaystyle x plus \displaystyle 15". This can be written as \displaystyle x+15 because plus means addition, so we replace the word "plus" with the addition symbol. 

When we put these pieces together we have \displaystyle 29< x+15

Example Question #13 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Select the equation or inequality that matches the number sentence below.

\displaystyle 107 is greater than or equal to \displaystyle x plus \displaystyle 42

 

Possible Answers:

\displaystyle 107\geq x+42

\displaystyle 107> x+42

\displaystyle 107= x+42

\displaystyle 107< x+42

\displaystyle 107\leq x+42

Correct answer:

\displaystyle 107\geq x+42

Explanation:

Our number sentence has the phrase "greater than or equal to" which means we have an inequality. 

"\displaystyle 107 is greater than or equal to" can be written as \displaystyle 107\geq because we replace the words "greater than or equal to" with the greater than or equal to symbol. 

Next, we have "\displaystyle x plus \displaystyle 42". This can be written as \displaystyle x+42 because plus means addition, so we replace the word "plus" with the addition symbol. 

When we put these pieces together we have \displaystyle 107\geq x+42

Example Question #14 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Select the equation or inequality that matches the number sentence below.

\displaystyle 55 is less than or equal to \displaystyle x plus \displaystyle 10

 

Possible Answers:

\displaystyle 55\leq x+10

\displaystyle 55> x+10

\displaystyle 55< x+10

\displaystyle 55= x+10

\displaystyle 55\geq x+10

Correct answer:

\displaystyle 55\leq x+10

Explanation:

Our number sentence has the phrase "less than or equal to" which means we have an inequality. 

"\displaystyle 55 is less than or equal to" can be written as \displaystyle 55\leq because we replace the words "less than or equal to" with the less than or equal to symbol. 

Next, we have "\displaystyle x plus \displaystyle 10". This can be written as \displaystyle x+10 because plus means addition, so we replace the word "plus" with the addition symbol. 

When we put these pieces together we have \displaystyle 55\leq x+10

Example Question #11 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Select the equation or inequality that matches the number sentence below.

\displaystyle 10 is equal to \displaystyle x plus \displaystyle 3

 

Possible Answers:

\displaystyle 10\geq x+3

\displaystyle 10=x+3

\displaystyle 10< x+3

\displaystyle 10\leq x+3

\displaystyle 10>x+3

Correct answer:

\displaystyle 10=x+3

Explanation:

Our number sentence has the phrase "equal" which means we have an equation. 

"\displaystyle 10 is equal to" can be written as \displaystyle 10= because we replace the words "equal to" with the equal symbol. 

Next, we have "\displaystyle x plus \displaystyle 3". This can be written as \displaystyle x+3 because plus means addition, so we replace the word "plus" with the addition symbol. 

When we put these pieces together we have \displaystyle 10=x+3

Example Question #16 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Select the equation or inequality that matches the number sentence below.

\displaystyle 13 is less than \displaystyle w

 

Possible Answers:

\displaystyle 13\geq w

\displaystyle 13< w

\displaystyle 13>w

\displaystyle 13\leq w

\displaystyle 13=w

Correct answer:

\displaystyle 13< w

Explanation:

Our number sentence has the phrase "less than" which means we have an inequality. 

"\displaystyle 13 is less than \displaystyle w" can be written as \displaystyle 13< w because we replace the words "less than" with the less than symbol. 

Example Question #17 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Select the equation or inequality that matches the number sentence below.

\displaystyle 95 is less than \displaystyle w

Possible Answers:

\displaystyle 95>w

\displaystyle 95\leq w

\displaystyle 95=w

\displaystyle 95< w

\displaystyle 95\geq w

Correct answer:

\displaystyle 95< w

Explanation:

Our number sentence has the phrase "less than" which means we have an inequality. 

"\displaystyle 95 is less than \displaystyle w" can be written as \displaystyle 95< w because we replace the words "less than" with the less than symbol. 

Example Question #455 : Expressions & Equations

Select the equation or inequality that matches the number sentence below.

\displaystyle 42 is greater than \displaystyle w

Possible Answers:

\displaystyle 42=w

\displaystyle 42\geq w

\displaystyle 42>w

\displaystyle 42\leq w

\displaystyle 42< w

Correct answer:

\displaystyle 42>w

Explanation:

Our number sentence has the phrase "greater than" which means we have an inequality. 

"\displaystyle 42 is greater than \displaystyle w" can be written as \displaystyle 42>w because we replace the words "greater than" with the greater than symbol. 

Example Question #451 : Expressions & Equations

Select the equation or inequality that matches the number sentence below.

\displaystyle 74 is greater than \displaystyle w

Possible Answers:

\displaystyle 74< w

\displaystyle 74\leq w

\displaystyle 74>w

\displaystyle 74=w

\displaystyle 74\geq w

Correct answer:

\displaystyle 74>w

Explanation:

Our number sentence has the phrase "greater than" which means we have an inequality. 

"\displaystyle 74 is greater than \displaystyle w" can be written as \displaystyle 74>w because we replace the words "greater than" with the greater than symbol. 

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