Modeling Equations with Algebra Tiles

Front

What is an algebra tile?

Back

An algebra tile is a manipulative used to model algebraic expressions and equations. They represent variables and constants visually, helping students understand algebraic concepts.

Front

What does a positive tile represent?

Back

A positive tile represents a positive value or a positive variable in an equation.

Front

What does a negative tile represent?

Back

A negative tile represents a negative value or a negative variable in an equation.

Front

How do you represent the equation x - 3 = 9 using algebra tiles?

Back

You would use one x tile, three negative tiles, and nine positive tiles to model this equation.

Front

What is the first step to solve the equation x - 3 = 9?

Back

Add 3 to both sides of the equation to isolate x.

Front

What is the solution to the equation 3x + 1 = 9?

Back

The solution is x = 2.

Front

How do you write the expression for 3 more than twice a number?

Back

The expression is 2x + 3.

Front

What does the equation 7 = x + (-3) represent?

Back

It represents that when you add -3 to x, the result is 7.

Front

How can you check if x = 2 is a solution to the equation x - 3 = 9?

Back

Substitute 2 for x: 2 - 3 = -1, which does not equal 9, so x = 2 is not a solution.

Front

What is the relationship between the equation B + 3 = 6 and the value of B?

Back

To find B, subtract 3 from both sides: B = 6 - 3, so B = 3.