Solving Two-Step Equations with Algebra Tiles

The video tutorial explains how to solve two-step equations using algebra tiles. It introduces the concept of using colored tiles to represent numbers and variables, and demonstrates the process through four examples. Each example involves moving terms across the equal sign, changing their signs, and simplifying to find the value of the variable. The tutorial covers equations with both positive and negative coefficients, as well as division and multiplication steps to isolate the variable.

What do the yellow and green tiles represent in algebra tiles?

• Both represent numbers

• Both represent X

• Yellow represents X, green represents numbers

• Yellow represents numbers, green represents X

What happens to the sign of a tile when it crosses the equal sign?

• It becomes zero

• It doubles

• It changes to the opposite sign

• It remains the same

How do you solve for one X when you have 3X = 6?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the purpose of flipping signs when a term crosses the equal sign?

• To eliminate the term

• To simplify the equation

• To balance the equation

• To comply with algebra rules

What is the value of X in the equation X/2 + 7 = 4 after adjusting for the constant?

• X = -6

• X = 2

• X = 6

• X = -2

In the equation -2X - 2 = -8, what is the first step to isolate X?

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by -2

• Multiply both sides by -1

How do you correct a negative X to a positive X?

• Add X to both sides

• Subtract X from both sides

• Multiply both sides by -1

• Divide both sides by -1

What is the final value of X in the equation -2X - 2 = -8?

• X = 6

• X = 3

• X = -6

• X = -3

What operation is performed to isolate X in the equation X/4 + 3 = -3?

• Multiplication

• Subtraction

• Division

• Addition

What is the final value of X when solving X/4 + 3 = -3?

• X = -24

• X = 24

• X = -12

• X = 12