Solving Two-Step Equations

The video tutorial explains how to solve two-step equations using a tile model. It begins with an introduction and acknowledgment of resources. The instructor models the equation 2x + 1 = 3 using tiles, demonstrating how to balance both sides. The process involves isolating the X tiles by creating zero pairs and subtracting equally from both sides. Finally, the instructor divides the tiles to find the value of X, completing the solution. The tutorial emphasizes the subtraction and addition properties of equality.

What is the first step in solving a two-step equation?

• Add a constant to both sides

• Subtract a constant from both sides

• Model the equation with tiles

• Divide both sides by a number

In the equation 2x + 1 = 3, what does the '1' represent?

• An exponent

• A coefficient

• A constant

• A variable

What is the purpose of using tiles in modeling equations?

• To solve the equation faster

• To make the equation more complex

• To visually represent the equation

• To simplify the equation

What happens when you remove a tile from one side of the balance?

• The balance tilts to the same side

• The equation becomes incorrect

• The balance tilts to the other side

• The balance remains unchanged

What is a zero pair in the context of solving equations?

• Two positive numbers

• Two negative numbers

• A positive and a negative number that cancel each other

• Two variables

What property allows you to subtract the same value from both sides of an equation?

• Addition property of equality

• Multiplication property of equality

• Division property of equality

• Subtraction property of equality

What is the next step after removing the constant from both sides of the equation?

• Subtract a constant from both sides

• Divide both sides by the coefficient of x

• Multiply both sides by a number

• Add a constant to both sides

How do you find the value of one x tile in the equation 2x = 2?

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the final value of x in the equation 2x + 1 = 3?

• 3

• 1

• 0

• 2

What is the first step in solving a two-step equation after modeling it?

• Combine like terms

• Isolate the variable

• Add a constant to both sides

• Divide both sides by a number