Solving 2-step Equations with Algebra Tiles

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What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What are algebra tiles?

Back

Algebra tiles are physical or virtual manipulatives used to represent algebraic expressions and equations visually.

Front

How do you represent a positive integer with algebra tiles?

Back

A positive integer is represented by a certain number of unit tiles.

Front

How do you represent a negative integer with algebra tiles?

Back

A negative integer is represented by a certain number of 'zero' tiles or negative tiles.

Front

What does the term 'coefficient' mean?

Back

A coefficient is a numerical factor in a term of an algebraic expression, such as the '2' in '2x'.

Front

What is the first step in solving the equation 8 + 2x = -4?

Back

The first step is to subtract 8 from both sides of the equation.

Front

What is the solution to the equation 2x = -12?

Back

x = -6.

Front

What does it mean to check your solution?

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Checking your solution means substituting the value back into the original equation to verify it satisfies the equation.

Front

What is the purpose of using algebra tiles in solving equations?

Back

Algebra tiles help visualize the process of solving equations and understanding the relationships between terms.