Solving One Variable Equations Challenge

This video tutorial covers solving one-variable equations in Core Connections Algebra Chapter 1. The instructor demonstrates solving two equations, starting with a simpler one and then moving to a more complex example. The process involves isolating the variable x by rearranging terms and using basic algebraic operations like addition, subtraction, and division. The tutorial emphasizes keeping numbers positive and balancing equations to find the value of x. The video concludes with encouragement for students preparing for their summative exam.

What is the main focus of the Core Connections Algebra Chapter 1 video?

• Solving quadratic equations

• Factoring polynomials

• Graphing linear equations

• Solving one-variable equations

What is the key characteristic of an equation?

• It has no constants

• It has only one term

• It has variables only

• It has an equal sign

In the equation 2X + 5 = 4X - 15, what is the first step to isolate the variable x?

• Subtract 2X from both sides

• Divide both sides by 2

• Add 15 to both sides

• Subtract 5 from both sides

After subtracting 2X from both sides in the equation 2X + 5 = 4X - 15, what is the resulting equation?

• 5 = 2X - 15

• 5 = 2X - 5

• 5 = 2X + 15

• 5 = 4X - 15

What operation is used to solve for one x in the equation 2X = 20?

• Subtract 2 from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 2 to both sides

What is the value of x in the equation 2X = 20?

• 20

• 5

• 15

• 10

In the equation -3 + 2X - 7 = 5 - 3X, what is the first step to simplify the left side?

• Add 3X to both sides

• Add 7 to both sides

• Subtract 2X from both sides

• Combine -3 and -7

After combining -3 and -7 in the equation -3 + 2X - 7 = 5 - 3X, what is the resulting equation?

• -1 + 2X = 5 - 3X

• -10 + 2X = 5 + 3X

• -1 + 2X = 5 + 3X

• -10 + 2X = 5 - 3X

What is the next step after getting 5X - 10 = 5 in the equation?

• Subtract 5 from both sides

• Divide both sides by 5

• Add 10 to both sides

• Multiply both sides by 5

What is the value of x in the equation 5X = 15?

• 1

• 3

• 5

• 15