Solving 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 operations like addition, subtraction, and solving equations.

Front

How do you simplify the expression 5x + 3x?

Back

To simplify, combine like terms: 5x + 3x = 8x.

Front

What does it mean to solve for x in an equation?

Back

Solving for x means finding the value of x that makes the equation true.

Front

What is the first step in solving the equation x + 4 = 10?

Back

Subtract 4 from both sides to isolate x: x = 10 - 4, so x = 6.

Front

How do you combine like terms in the expression 3x + 2x - 2x + 6 - 3?

Back

Combine the x terms: 3x + 2x - 2x = 3x. Then combine the constants: 6 - 3 = 3. The simplified expression is 3x + 3.

Front

What is the value of x in the equation 2x + 3 = 11?

Back

Subtract 3 from both sides: 2x = 8. Then divide by 2: x = 4.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value. This is achieved by performing the same operation on both sides.

Front

How do you represent the equation x - 5 = 2 using algebra tiles?

Back

Use one tile for x, five negative tiles to represent -5, and two positive tiles to represent 2. The goal is to find the value of x that balances the tiles.

Front

What is the solution to the equation 3x = 12?

Back

Divide both sides by 3: x = 12 / 3, so x = 4.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 5x, 5 is the coefficient of x.