Solving Equations and Properties

This video tutorial provides a comprehensive review of solving equations for a quiz covering sections 1.1 to 1.3. It includes step-by-step solutions for various equations, checks solutions, and discusses special cases like no solution and infinitely many solutions. The tutorial also emphasizes the importance of understanding the properties of equality and the distributive property in solving equations. The video concludes with a focus on justifying each step in the solving process, encouraging students to practice and review the material to succeed in their quiz.

What is the first step in solving an equation according to the instructions?

• Start with the last problem

• Guess the answer

• Read the directions carefully

• Check the solution immediately

When solving 18 - n = 10, what operation should be performed first?

• Multiply both sides by 18

• Divide both sides by 18

• Subtract 18 from both sides

• Add 18 to both sides

In the equation 18 - n = 10, what is the value of n?

• 8

• 18

• -8

• 10

What should you do if there is no number in front of a variable?

• Assume it is zero

• Assume it is one

• Assume it is ten

• Assume it is two

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

• Get everything on one side

• Get variables on both sides

• Get numbers on both sides

• Get variables on one side and numbers on the other

In the equation 5 = 2w + 1w - 1, what is the value of w?

• 4

• 2

• 1

• 3

What should you never do when moving variables in an equation?

• Move the variable with a negative sign

• Move the variable that is already by itself

• Move the variable with the largest coefficient

• Move the variable with the smallest coefficient

What is the result when all variables cancel out and you get a false statement?

• No solution

• One solution

• Infinitely many solutions

• Two solutions

What is the result when all variables cancel out and you get a true statement?

• No solution

• One solution

• Infinitely many solutions

• Two solutions

What property is used when distributing a number into parentheses?

• Distributive property

• Subtraction property

• Addition property

• Multiplication property