### All Common Core: 7th Grade Math Resources

## Example Questions

### Example Question #31 : Expressions & Equations

Define an operation on the set of real numbers as follows:

If , then what is ?

**Possible Answers:**

**Correct answer:**

,

so

.

If

then

### Example Question #2 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Define an operation on the set of real numbers as follows:

.

If , evaluate .

**Possible Answers:**

**Correct answer:**

so

Equivalently

, so set this equal to :

### Example Question #3 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Define an operation on the set of real numbers as follows:

.

If , then evaluate .

**Possible Answers:**

**Correct answer:**

,

so

Set this equal to 0.1:

### Example Question #1 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Define an operation on the set of real numbers as follows:

.

. What is the value of ?

**Possible Answers:**

**Correct answer:**

and

so

### Example Question #561 : Algebra

Define an operation on the set of real numbers as follows:

. What is the value of ?

**Possible Answers:**

No real value of makes this true.

**Correct answer:**

, so

Set this equal to :

### Example Question #2 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

**Possible Answers:**

**Correct answer:**

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

Next, we can perform the multiplication operation and find the tip:

The server's tip will be

### Example Question #5 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

**Possible Answers:**

**Correct answer:**

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

Next, we can perform the multiplication operation and find the tip:

The server's tip will be

### Example Question #6 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

**Possible Answers:**

**Correct answer:**

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be of . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

Next, we can perform the multiplication operation and find the tip:

The server's tip will be

### Example Question #7 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

**Possible Answers:**

**Correct answer:**

The first step to solving this problem is determining what operation we are going to use.

Next, we can perform the multiplication operation and find the tip:

The server's tip will be

### Example Question #8 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a tip on a bill of , then what will be the amount of the tip?

**Possible Answers:**

**Correct answer:**

The first step to solving this problem is determining what operation we are going to use.

Next, we can perform the multiplication operation and find the tip:

The server's tip will be