High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #11 : High School Math

Distribute:

Possible Answers:

Correct answer:

Explanation:

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 #1 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Expand:

Possible Answers:

Correct answer:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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:

Explanation:

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 #13 : High School Math

Simplify the expression.

Possible Answers:

Correct answer:

Explanation:

Re-write the expression to group like terms together.

Simplify.

Example Question #122 : Operations And Properties

What is   simplified?

Possible Answers:

Correct answer:

Explanation:

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 #2 : Addition And Subtraction

Simplify: 

Possible Answers:

Correct answer:

Explanation:

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

Example Question #15 : 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

Cube, multiply, subtract, add

Multiply, add, subtract, cube

Cube, multiply, add, subtract

Correct answer:

Multiply, subtract, add, cube

Explanation:

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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