Solving Equations and Fractions

This video tutorial is a review of unit 3, focusing on chapter 7, which deals with solving equations with variables on both sides. The video provides a refresher on isolating variables and solving equations, followed by practice problems. It also covers handling fractions and decimals in equations and discusses the number of solutions possible. The video emphasizes practice and refers students to additional resources for further review.

What is the main focus of Chapter 7 in Unit 3?

• Solving quadratic equations

• Understanding geometric shapes

• Graphing linear equations

• Equations with variables on both sides

When solving equations with variables on both sides, what is the first step?

• Add numbers to both sides

• Divide both sides by a variable

• Multiply both sides by a constant

• Get all variables on one side

In the example given, what is the value of x after solving the equation?

• x = 3

• x = 5

• x = 9

• x = 7

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

• Apply the distributive property

• Add all numbers together

• Subtract variables from both sides

• Divide by the coefficient

Which operation would eliminate all fractions from an equation?

• Multiply by 8

• Multiply by 4

• Multiply by 16

• Multiply by 2

What is the least common denominator recommended for eliminating fractions?

• 12

• 16

• 8

• 4

How can you eliminate decimals from an equation?

• Multiply by 500

• Multiply by 1000

• Multiply by 100

• Multiply by 10

What does it mean if an equation has no solutions?

• The equation is always true

• The equation is never true

• The equation has infinite solutions

• The equation has one solution

If an equation results in a true statement, how many solutions does it have?

• One

• Two

• None

• Infinite

What should you do if solving an equation feels difficult?

• Guess the answer

• Skip the problem

• Ask a friend for help

• Review Chapter 7 notes