Question

a mathematical expression representing a relationship where one variable is a constant multiple of another is called a ______ equation.
a linear equation with one variable generally takes the form ( ax + b = 0 ), where ( a ) and ( b ) are ______.
when a linear equation includes fractions, it is often helpful to multiply by the ______ common denominator in the equation to clear the fractions.
to verify the solution of a linear equation, substitute the value back into the original equation to check if it produces a ______ statement.
the process of using algebraic methods to find the values that satisfy an equation is called ______.
options: integers, least, true, solving, linear

Explanation:

Step1: Identify the first blank

A relationship where one variable is a constant multiple of another is a linear equation.

Step2: Identify the second blank

In \(ax + b = 0\), \(a\) and \(b\) are typically integers (standard form convention).

Step3: Identify the third blank

To clear fractions, multiply by the least common denominator.

Step4: Identify the fourth blank

Verifying a solution checks if it makes the equation true.

Step5: Identify the fifth blank

Finding values that satisfy an equation is called solving.

Answer:

1. linear
2. integers
3. least
4. true
5. solving