Question

When a number is substituted for the same variable in two expressions, how many times must those two expressions have different values before you know they are not equivalent? Expain.

Answer 1

Answer:

Hope this helps!!!

Step-by-step explanation:

An equation is a mathematical statement that two expressions are equal. The solution of an equation

is the value that when substituted for the variable makes the equation a true statement.

Our goal in solving an equation is to isolate the variable on one side of the equation and a number on

the other side so the equation reads:

Variable = Number

To achieve our goal, we use two principles of equality, the addition principle and the multiplication

principle.

• Use the addition principle to move terms from one side of the equation to the other side. To

move a term, add it's opposite to both sides of the equation.

• Use the multiplication principle to solve for the variable. If the variable is multiplied by a

number, divide both sides of the equation by that number. If the variable is divided by a

number, multiply both sides of the equation by that number.

To solve equations, use the procedure outlined below.

Steps for Solving Equations

Step 1: Clear fractions and decimals by multiplying each term of the equation by the LCD (least

common denominator).

Step 2: Remove the parentheses by distributing.

Step 3: Combine any like terms found on the same side.

Step 4: Use the addition principle to move the variable term to one side of the equation and the

number to the other side.

Step 5: Multiply or divide to solve for the variable.

Step 6: Check the result in the original equation.

Answer 2

Answer:

n+1

Where n is the degree of the expression

Step-by-step explanation:

Equate the expressions and form an equation.

If they are equivalent, this would be an identity

An equation can be satisfied only by the roots if not equivalent.

No. of roots depends on the degree of the equation.

So use atleast one value more than the degree.

For example, if it's a quadratic (degree 2) try 3 values of the variable

If it's a cubic (degree 3), try 4 values.

In general, if degree is n try (n+1) values of the variable