Solving One-Variable Equations Made Easy

What is the first step in solving a one-variable equation?

• Divide by the coefficient

• Remove parentheses

• Combine like terms

• Move the variable to one side

When distributing a negative number across parentheses, what is a common mistake?

• Multiplying instead of adding

• Combining terms before distributing

• Forgetting to distribute the negative sign

• Ignoring the parentheses

What should you do after removing parentheses in an equation?

• Add or subtract constants

• Divide by the coefficient

• Combine like terms

• Move the variable to one side

In Example 2, what does it mean if the variable disappears and the remaining statement is true?

• There is no solution

• The equation is invalid

• The solution is zero

• All real numbers are solutions

What is the abbreviation for all real numbers as a solution?

• R

• N

• Z

• Q

What trick can be used to eliminate fractions in an equation?

• Subtracting the fractions

• Dividing by the smallest fraction

• Multiplying by the common denominator

• Adding the fractions

After multiplying by the common denominator, what is the next step?

• Combine like terms

• Move the variable to one side

• Remove parentheses

• Add or subtract constants

In Example 4, what method is used to solve equations with one fraction on each side?

• Cross-multiplying

• Subtracting the fractions

• Adding the fractions

• Dividing by the fractions

What should you do if the right side of an equation cancels out to zero?

• Rewrite the equation

• Place a zero on the right side

• Ignore the zero

• Move the equal sign

What is the final step in solving a one-variable equation?

• Combine like terms

• Divide by the coefficient

• Add or subtract constants

• Move the variable to one side