Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #1031 : Pre Algebra

Possible Answers:

Correct answer:

Explanation:

Remember the order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally" stands for "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction". 

Example Question #1032 : Pre Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations.

First take care of any exponents:

 = 6 - (2 + 25)

Then perform the operations in parentheses:

 = 6 - 27

 = -21

Example Question #13 : Order Of Operations

Simplify:

Possible Answers:

Correct answer:

Explanation:

By order of operations you are supposed to simplify what is in parentheses first giving you 

then you must simplify the exponent to give you

then you must simplify the division portion of the equation to get

 

then simplify this.

Example Question #20 : Order Of Operations

Possible Answers:

Correct answer:

Explanation:

Remember the acronym PEMDAS to help you keep track of the order of operations:

  1. Parentheses
  2. Exponents
  3. Multiplication and Division (whichever comes first when reading the problem from left to right)
  4. Addition and Subtraction (whichever comes first when reading the problem from left to right)

Step 1: Parentheses

Step 2: Exponents

Step 3: Multiplication

Step 4: Addition and Subtraction

Example Question #1033 : Pre Algebra

Evaluate:

Possible Answers:

Correct answer:

Explanation:

You must use the order of operations to solve this. First evaluate the parentheses, then evaulate the multiplication and division, and finally you can evaulate the addition and subtraction.

 

Example Question #22 : Operations And Properties

Evaluate:

Possible Answers:

Correct answer:

Explanation:

Example Question #1034 : Pre Algebra

What is the solution to the following equation?

 

Possible Answers:

Correct answer:

Explanation:

An operation is a symbol used to indicate a logical process used to solve an equation. For example, in the equation , the operation is represented by the "", and it indicates the two values associated with it must be added. 

The order in which operations are preformed begins with operations within parentheses, followed by any exponents, then multiplication, division, addition, and finally subtraction. 

For the equation , the first step is to multiply the values joined by the multiplication symbol, six and four. as the operation of multiplication comes before the operation of addition. This results in the simplified equation of

The second operation is to add the values from left to right, so  simplifies to , which simplifies to our answer, 

Example Question #1035 : Pre Algebra

Simplify:

Possible Answers:

24

28

22

26

36

Correct answer:

24

Explanation:

In order to simplify this expression, you need to remember the order of operations. In short, this can be represented by the acronym PEMDAS. When solving an expression, first begin by simplifying anything in parentheses (P), then exponents (E), then multiplication and division (M and D), then addition and subtraction (A and D). Remember when doing this to read the equation from left to right.

In this case, we must perform the multiplication before the addtion:

The answer is 24.

Example Question #25 : Operations And Properties

Solve using order of operations.

Possible Answers:

Correct answer:

Explanation:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Parentheses:

The expression now looks like this:

Square 10:

Multiply the last two terms:

Finally divide to finish:

 

Example Question #1036 : Pre Algebra

If you are asked to evaluate 

,

what should you do first?

Possible Answers:

Subtract 40 from 25

Subtract 20 from 10

Add 40 and 15

Subtract 5 from 15

Add 20 and 25

Correct answer:

Subtract 20 from 10

Explanation:

In the order of operations, additions and subtractions have equal rank and, collectively, are carried out from left to right. The first operation carried out is therefore the leftmost of the operations - the subtraction of 20 from 10.

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