Solve Real-World and Mathematical Problems by Writing and Solving Equations: CCSS.Math.Content.6.EE.B.7

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6th Grade Math › Solve Real-World and Mathematical Problems by Writing and Solving Equations: CCSS.Math.Content.6.EE.B.7

Questions 1 - 10
1

Solve for :

Explanation

The equation 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.

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

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

2

Solve for :

Explanation

The equation 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.

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

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

3

Solve for :

Explanation

The equation asks us to identify which number, , multiplied by 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 multiplied by the variable, we can divide from both sides of the equation.

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

4

Solve for :

Explanation

The equation 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.

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

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

5

What is ?

Explanation

Divide each side by :

6

Solve for :

Explanation

The equation asks us to identify which number, , multiplied by 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 multiplied by the variable, we can divide from both sides of the equation.

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

7

Solve for :

Explanation

The equation asks us to identify which number, , multiplied by 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 multiplied by the variable, we can divide from both sides of the equation.

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

8

Solve for :

Explanation

The equation asks us to identify which number, , multiplied by 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 multiplied by the variable, we can divide from both sides of the equation.

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

9

Solve for :

Explanation

The equation 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.

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

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

10

Explanation

Divide each side by :

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