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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 #66 : Equations

37s= 148

What is ?

Possible Answers:

4.5

111

Correct answer:

Explanation:

Divide each side by :

$\frac{37s}{37}=\frac{148}{37}$

s=4

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Example Question #69 : Equations

2400=40m

What is ?

Possible Answers:

240

Correct answer:

Explanation:

Divide each side by :

$\frac{2400}{40}=\frac{40m}{40}$

60=m

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Example Question #70 : Equations

What is ?

8n=56

Possible Answers:

Correct answer:

Explanation:

Divide each side by :

$\frac{8n}{8}=\frac{56}{8}$

n=7

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Example Question #353 : How To Find The Solution To An Equation

Solve for :

45n=225

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation we need to isolate the variable to one side. Do not forget to perform the same operation on both sides of the equation.

45n=225

Divide each side of the equation by :

$\frac{45n}{45}=\frac{225}{45}$

Solve.

n=5

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Example Question #524 : Expressions & Equations

Solve for :

a+32 = 32

Possible Answers:

$-\frac{1}{32}$

$\frac{1}{32}$

Correct answer:

Explanation:

In order to solve this equation we need to isolate the variable to one side. Do not forget to perform the same operation on both sides of the equation.

a+32 = 32

Subtract from both sides of the equation.

a+32- (32)= 32-(32)

Solve.

a=0

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Example Question #22 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

x+13=41

Possible Answers:

Correct answer:

Explanation:

The equation x+13=41 asks us to identify which number, , plus is equal to .

In order to solve this equation, we need to isolate the variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable, . We need to remember that whatever we do to one side of the equals sign, we have to do to the other.

Since was added to the variable, we can subtract from both sides of the equation.

$\frac{\begin{array}[b]{r}x+13=41\\ -13-13\end{array}}{\\\\x+0=28}$

Simplify by dropping the because it has not numerical value; therefore:

x=28

We can check to make sure we have the correct value for by plugging into the original equation; thus:

28+13=41

41=41

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Example Question #974 : Grade 6

Solve for :

x+26=50

Possible Answers:

Correct answer:

Explanation:

The equation x+26=50 asks us to identify which number, , plus is equal to .

In order to solve this equation, we need to isolate the variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other.

Since was added to the variable, we can subtract from both sides of the equation.

$\frac{\begin{array}[b]{r}x+26=50\\ -26-26\end{array}}{\\\\x+0=24}$

Simplify by dropping the because it has not numerical value; therefore:

x=24

We can check to make sure we have the correct value for by plugging into the original equation; thus:

24+26=50

50=50

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Example Question #525 : Expressions & Equations

Solve for :

x+19=23

Possible Answers:

Correct answer:

Explanation:

The equation x+19=23 asks us to identify which number, , plus is equal to .

In order to solve this equation, we need to isolate the variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other.

Since was added to the variable, we can subtract from both sides of the equation.

$\frac{\begin{array}[b]{r}x+19=23\\ -19-19\end{array}}{\\\\x+0=4}$

Simplify by dropping the because it has not numerical value; therefore:

x=4

We can check to make sure we have the correct value for by plugging into the original equation; thus:

4+19=23

23=23

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Example Question #982 : Grade 6

Solve for :

x+28=59

Possible Answers:

Correct answer:

Explanation:

The equation x+28=59 asks us to identify which number, , plus is equal to .

In order to solve this equation, we need to isolate the variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other.

Since was added to the variable, we can subtract from both sides of the equation.

$\frac{\begin{array}[b]{r}x+28=59\\ -28-28\end{array}}{\\\\x+0=31}$

Simplify by dropping the because it has not numerical value; therefore:

x=31

We can check to make sure we have the correct value for by plugging into the original equation; thus:

31+28=59

59=59

Report an Error

Example Question #983 : Grade 6

Solve for :

x+7=33

Possible Answers:

Correct answer:

Explanation:

The equation x+7=33 asks us to identify which number, , plus is equal to .

In order to solve this equation, we need to isolate the variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other.

Since was added to the variable, we can subtract from both sides of the equation.

$\frac{\begin{array}[b]{r}x+7=33\\ -7\ \ -7\end{array}}{\\\\x+0=26}$

Simplify by dropping the because it has not numerical value; therefore:

x=26

We can check to make sure we have the correct value for by plugging into the original equation; thus:

26+7=33

33=33

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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

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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 #66 : Equations

Example Question #69 : Equations

Example Question #70 : Equations

Example Question #353 : How To Find The Solution To An Equation

Example Question #524 : Expressions & Equations

Example Question #22 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Example Question #974 : Grade 6

Example Question #525 : Expressions & Equations

Example Question #982 : Grade 6

Example Question #983 : Grade 6

All Common Core: 6th Grade Math Resources

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