Solving Equations with Algebra Tiles

Front

What are algebra tiles?

Back

Algebra tiles are physical or virtual manipulatives used to represent algebraic expressions and equations. They help visualize the process of solving equations by representing variables and constants.

Front

How do you represent the equation x + 1 = 4 using algebra tiles?

Back

You would use one tile for 'x' and one tile for '1' on one side, and four unit tiles on the other side to represent '4'.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you solve the equation f - 12 = -4?

Back

To solve for f, you add 12 to both sides of the equation, resulting in f = 8.

Front

What is the first step in solving the inequality 3n + 3 ≥ 30?

Back

The first step is to subtract 3 from both sides, resulting in 3n ≥ 27.

Front

How do you isolate the variable in the equation 3n ≥ 27?

Back

Divide both sides by 3 to get n ≥ 9.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be either greater than or equal to the value on the right.

Front

What is the solution set for the inequality n ≥ 9?

Back

The solution set includes all numbers greater than or equal to 9.

Front

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

Back

Algebra tiles help students visualize and understand the process of solving equations by providing a tangible way to manipulate the components of the equation.