### All High School Math Resources

## Example Questions

### Example Question #9 : Distributive Property

Distribute:

**Possible Answers:**

**Correct answer:**

Remember that a negative multiplied by a negative is positive, and a negative multiplied by a positive is negative.

Distribute the through the parentheses by multiplying it by each of the two terms:

### Example Question #10 : Distributive Property

Expand:

**Possible Answers:**

**Correct answer:**

Distribute the by multiplying it by each term inside the parentheses.

and

Therefore, 5(2 + y) = 10 + 5y.

### Example Question #11 : High School Math

What is simplified?

**Possible Answers:**

**Correct answer:**

To simplify a problem like the example above we must combine the like termed variables.

Like terms are the numbers that have the same variable, in this example, and .

Separate the 's to get .

Then perform the necessary subtraction to get .

Then separate the 's to get .

Then perform the necessary subtraction to get .

We then combine our answers to have the simplified version of the equation .

### Example Question #12 : High School Math

What is simplified?

**Possible Answers:**

**Correct answer:**

To simplify a problem like the example above we must combine the like termed variables.

Like terms are the numbers that have the same variable, in this example, and .

Separate the 's to get .

Then perform the necessary subtraction and addition with the numbers in front of the variables to get or .

Then separate the ’s to get .

Then perform the necessary subtraction to get .

We then combine our answers to have the simplified version of the equation .

### Example Question #13 : High School Math

Simplify the following equation into its simplest form by combining like terms:

**Possible Answers:**

**Correct answer:**

When combining like terms, the order of operations must also be taken into account.

then combine the x squared terms to get the answer.

### Example Question #1 : Order Of Operations

Simplify the expression below.

**Possible Answers:**

**Correct answer:**

First, distribute the negative sign into the parentheses.

Next, combine like terms.

Note that all operations in this problem are addition and subtraction; there is no need to FOIL or multiply.

### Example Question #1 : Addition And Subtraction

Simplify the expression.

**Possible Answers:**

**Correct answer:**

Re-write the expression to group like terms together.

Simplify.

### Example Question #2 : Addition And Subtraction

What is simplified?

**Possible Answers:**

**Correct answer:**

To simplify a problem like the example above we must combine the like-termed variables.

Like terms are the terms that share the same variable(s) to the same power. In this example the like term is .

To combine like terms the variable stays the same and you add the numbers in front.

Perform the necessary addition, , to get .

We have the simplified version of the equation, .

### Example Question #10 : Addition And Subtraction

Simplify:

**Possible Answers:**

**Correct answer:**

Combine like terms: . Remember you can only combine terms that have the same variables, for example and , but not and

### Example Question #14 : High School Math

Suppose you know the value of , and you want to evaluate the expression:

In which order would you carry out the four operations in the expression?

**Possible Answers:**

Add, multiply, subtract, cube

Multiply, subtract, add, cube

Multiply, add, subtract, cube

Cube, multiply, add, subtract

Cube, multiply, subtract, add

**Correct answer:**

Multiply, subtract, add, cube

By order of operations, always carry out any operations within grouping symbols first. Since there are nested grouping symbols, work from the inside (the parentheses) outward. Within the parentheses, there is a multiplication and a subtraction; do them in that order. Going outward, there is a subtraction within the brackets, so do that next. A cube remains, so do that last.

In summary: Multiply, subtract, add, cube

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