Solving Equations with Algebra Tiles

Front

What is an algebra tile?

Back

An algebra tile is a manipulative used to represent algebraic expressions and equations visually. They come in different shapes and colors to represent positive and negative values.

Front

How do you simplify the expression 5 + 3x?

Back

The expression 5 + 3x is already in its simplest form. It combines a constant (5) and a variable term (3x).

Front

What is the first step to solve the equation 11 + 2x = 1x + 4?

Back

The first step is to isolate the variable x by moving all terms involving x to one side and constant terms to the other side.

Front

What is the solution to the equation 5x + 4 = 2x + 10?

Back

The solution is x = 2. This is found by rearranging the equation to isolate x.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power, simplifying the expression.

Front

What is the result of simplifying 6x + 10x?

Back

The result is 16x, as you combine the coefficients of like terms.

Front

How do you solve for x in the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide both sides by 2 to find x = 4.

Front

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

Back

Algebra tiles help visualize the process of solving equations, making it easier to understand the relationships between terms.

Front

What is the simplified form of 10 + 6x?

Back

The simplified form is 10 + 6x, as it cannot be simplified further.

Front

What does the equation 3x = 6 represent?

Back

This equation represents a linear relationship where x can be found by dividing both sides by 3, resulting in x = 2.