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How do we use distributive property when solving equations?
The distributive property allows us to simplify expressions by multiplying a single term by each term inside a set of parentheses. When solving equations, we can use this property to eliminate parentheses, making it easier to combine like terms and isolate the variable. For example, in the equation (3(x + 4) = 21), applying the distributive property gives (3x + 12 = 21), which can then be solved more easily. This method helps maintain clarity and accuracy in the solving process.
How is distributive property used when solving an equation?
When applying distributive property to solve an equation, you multiply each term by term. For instance: a(b + c) = ab + ac
When do you use the distributive property when solving equations?
when a problem looks like this: for example: 6(5+3x) 6 x 5 = 30 and 6 x 3x = 18x so it would be 30 + 18x
Why do you use the addition property of equality?
Why? - Mainly to help in solving equations.
When do we use distributive property?
The distributive property is used when you want to simplify expressions involving multiplication over addition or subtraction. It states that ( a(b + c) = ab + ac ) or ( a(b - c) = ab - ac ). This property is particularly useful for expanding algebraic expressions, solving equations, and calculating values in mental math. It helps break down complex problems into simpler parts for easier computation.
When solving equations how do you justify your steps?
You should state the property used, such as distributive property of multiplication over addition or addition property of equality, etc.
How is distributive property used when solving an equation?
When applying distributive property to solve an equation, you multiply each term by term. For instance: a(b + c) = ab + ac
What jobs use distributive property?
everything
When do you use the distributive property when solving equations?
when a problem looks like this: for example: 6(5+3x) 6 x 5 = 30 and 6 x 3x = 18x so it would be 30 + 18x
Why do you use the addition property of equality?
Why? - Mainly to help in solving equations.
What is distibitive property?
The distributive property states that when multiplying a number by the sum of two other numbers, the result will be the same as if each of the two numbers were multiplied by the first number separately and then added together. In algebra, it is commonly written as a(b + c) = ab + ac. This property is essential for simplifying expressions and solving equations.
Do you simplify while using the distributive property to write an expression?
When using the distributive property to write an expression, you do not simplify within the parentheses before applying the property. The distributive property involves multiplying the term outside the parentheses by each term inside the parentheses. Once you have distributed the term, you can then simplify the resulting expression by combining like terms. Simplifying before distributing would result in an incorrect application of the distributive property.
How do you solve two-step equations with fractions?
Equations can be tricky, and solving two step equations is an important step beyond solving equations in one step. Solving two-step equations will help introduce students to solving equations in multiple steps, a skill necessary in Algebra I and II. To solve these types of equations, we use additive and multiplicative inverses to isolate and solve for the variable. Solving Two Step Equations Involving Fractions This video explains how to solve two step equations involving fractions.
Why is it important to know various techniques for solving systems of equations and inequalities?
It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.
How are the rules for solving inequalities similar to those for solving equations?
Solving inequalities and equations are the same because both have variables in the equation.
Are trigonometric identities important?
Yes. Trigonometric identities are extremely important when solving calculus equations, especially while integrating.
What is one important difference between solving equations and solving inequalities?
One important difference between solving equations and solving inequalities is that when you multiply or divide by a negative number, then the direction of the inequality must be reversed, i.e. "less than" becomes "greater than", and "less than or equal to" becomes "greater than or equal to".Actually, from a purist's sense, the reversal rule also applies with equations. Its just that the reversal of "equals" is still "equals". The same goes for "not equal to".
