Exploring Chapter 7 Review: Adding and Subtracting Rational Expressions

This video is part B of the chapter 7 review for 8th graders, focusing on lessons 7.3 and 7.4. It covers equations with variables on both sides, integrating the distributive property, and determining the number of solutions to equations. The video includes practice problems and encourages students to review previous modules if needed. It also addresses handling fractions in distributive property problems and reviews the rules for determining the number of solutions to equations.

What is the main focus of lessons 7.3 and 7.4 in Chapter 7?

• Understanding geometric shapes

• Calculating volume of solids

• Solving equations with variables on both sides

• Graphing linear equations

What mathematical property is integrated in lesson 7.3?

• Associative property

• Distributive property

• Commutative property

• Identity property

How do you solve the equation when using the distributive property?

• Multiply the outer term by each inner term

• Subtract the constant term from both sides

• Divide both sides by the coefficient

• Add the terms inside the parentheses

What should you do first when solving equations with the distributive property?

• Move all variables to one side

• Combine like terms

• Distribute the outer term to the inner terms

• Isolate the variable

How do you handle fractions in distributive property problems?

• Divide by the common denominator

• Multiply by the common denominator

• Multiply by the reciprocal of the fraction

• Ignore the fractions

What is the result of distributing one half times two in the equation?

• One

• Two

• One half

• Zero

What indicates an equation has infinite solutions?

• None of the above

• The variables cancel out leaving a true inequality

• The equation simplifies to a true statement like 6=6

• The equation simplifies to a false statement

What does it mean if an equation simplifies to 11=12?

• The equation has no solutions

• The equation is undefined

• The equation has multiple solutions

• The equation has one solution

What should you do if you feel confident about the material reviewed?

• Review the material again

• Ignore the review

• Highlight the title in red

• Highlight the title in green

If an equation after solving shows x equals a number, how many solutions does it have?

• Cannot be determined

• No solutions

• One solution

• Infinite solutions