Question: How Do I Simplify An Expression?

How do you write an expression?

To write an expression, we often have to interpret a written phrase.

For example, the phrase “ 6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number..

How do you simplify an expression example?

Example 1: Simplify: 5(7y+2) 5 ( 7 y + 2 ) . Solution: Multiply 5 times each term inside the parentheses. Example 2: Simplify: −3(2×2+5x+1) − 3 ( 2 x 2 + 5 x + 1 ) . Solution: Multiply −3 times each of the coefficients of the terms inside the parentheses.

Why do we simplify algebraic expressions?

By “simplifying” an algebraic expression, we mean writing it in the most compact or efficient manner, without changing the value of the expression. This mainly involves collecting like terms, which means that we add together anything that can be added together.

How did you simplify the resulting expression?

Here are the basic steps to follow to simplify an algebraic expression: remove parentheses by multiplying factors. use exponent rules to remove parentheses in terms with exponents. combine like terms by adding coefficients.

Can you solve an expression?

An algebraic expression is a mathematical phrase that contains numbers and/or variables. Though it cannot be solved because it does not contain an equals sign (=), it can be simplified. You can, however, solve algebraic equations, which contain algebraic expressions separated by an equals sign.

What does it mean to simplify an expression?

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you’re basically trying to write it in the simplest way possible. At the end, there shouldn’t be any more adding, subtracting, multiplying, or dividing left to do.

What are the 4 steps to solving an equation?

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

How do you know if it is a rational algebraic expression?

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials.

How do you work out expressions?

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

How do you simplify an expression in math?

To simplify any algebraic expression, the following are the basic rules and steps:Remove any grouping symbol such as brackets and parentheses by multiplying factors.Use the exponent rule to remove grouping if the terms are containing exponents.Combine the like terms by addition or subtraction.Combine the constants.

What is an example of simplify?

4×3 – 2×2 + 5×3 + 2x – 4×2 – 6x.

How do you simplify life?

25 Easy Ways To Simplify Your LifeSet monthly goals. Instead of New Year’s resolutions, set yourself 1-3 goals each month. … Carry a water bottle everywhere. … Declutter your closet. … Write email tasks on paper. … Follow a quick morning routine. … Pack an on-the-go kit. … Use the 50/30/20 rule. … Invest in a crockpot.More items…•

What is the first step in simplifying a rational expression?

The first step in simplifying a rational expression is to FACTOR its numerator and denominator.

How do you solve rational expressions step by step?

The steps to solving a rational equation are:Find the common denominator.Multiply everything by the common denominator.Simplify.Check the answer(s) to make sure there isn’t an extraneous solution.

How do I simplify a rational expression?

Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator. Step 1: Factor both the numerator and denominator of the fraction.

What does fully simplify mean?

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to condense an algebraic expression by grouping and combining similar terms. Simplifying makes a algebric expression easily understandable and solvable.