Solving Multi-Step Equations with Algebra Tiles

The video tutorial demonstrates solving multi-step equations using algebra tiles. It begins by explaining the goal of isolating the unknown variable, X. The instructor models the equation 2x + 3 = 7 using algebra tiles, representing X with green tiles and units with yellow tiles. The process involves forming zero pairs to cancel out terms and isolate 2x. Finally, the equation is solved by dividing both sides to find the value of X, resulting in x = 2.

What is the primary goal when solving any equation using algebra tiles?

• To add as many tiles as possible

• To multiply the tiles

• To isolate the variable, known as X

• To subtract tiles from one side

In the equation 2x + 3 = 7, what do the green rectangular tiles represent?

• Negative units

• The total sum of 7

• The variable X

• The constant number 3

How many green tiles are used to represent 2x in the equation model?

• One

• Two

• Three

• Four

What is the purpose of adding three negative red tiles to both sides of the equation?

• To increase the value of X

• To form zero pairs and simplify the equation

• To represent positive units

• To double the value of X

After adding negative tiles, what is left on the left side of the equation?

• 3x

• 2x

• 1x

• 4x

What does each zero pair consist of in the context of this equation?

• Two positive tiles

• One green and one yellow tile

• One positive and one negative tile

• Two negative tiles

What is the final simplified form of the equation before solving for x?

• x = 2

• 2x = 4

• x = 4

• 2x = 2

How do we find the value of one x from 2x = 4?

• By dividing both sides by 2

• By multiplying both sides by 2

• By subtracting 2 from both sides

• By adding 2 to both sides

What is the final value of x in the equation?

• 4

• 3

• 2

• 1

Why is it important to perform the same operations on both sides of an equation?

• To change the value of x

• To make the equation more complex

• To maintain the balance of the equation

• To eliminate all variables