Solving Inequalities and Equations

This video tutorial helps students prepare for a test by reviewing key concepts from Chapter 2, including solving equations with fractions, understanding no solution equations, tackling word problems with weighted averages, and solving inequalities. The video also covers graphing solutions and absolute value inequalities, providing a comprehensive review of these mathematical concepts.

What is the first step in solving an equation with fractions?

• Subtract the fractions

• Add the fractions together

• Multiply by the least common denominator

• Divide by the largest denominator

When combining like terms, what should you do with the coefficients?

• Multiply them

• Add or subtract them

• Divide them

• Ignore them

What does it mean if an equation is a contradiction?

• It is unsolvable

• It has infinite solutions

• It has no solution

• It has one solution

In a word problem involving averages, what is typically needed to find the solution?

• The sum of all scores

• The total number of items

• The average score

• All of the above

What is the purpose of using a common denominator in inequalities with fractions?

• To make the inequality more complex

• To eliminate the fractions

• To simplify the inequality

• To change the inequality sign

How do you solve an absolute value inequality?

• By solving two separate inequalities

• By multiplying the absolute values

• By ignoring the absolute values

• By adding the absolute values