Modeling and Solving Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables and constants.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is a variable in algebra?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value.

Front

What is the solution to the equation x + 5 = 12?

Back

x = 7

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other side.

Front

What is the first step to solve the equation 3x - 4 = 5?

Back

Add 4 to both sides to get 3x = 9.

Front

What is the equation represented by the model: 4 circles and 2 triangles? (circles = 1, triangles = t)

Back

4 + 2t = 10.

Front

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

Back

x = 3.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value.

Front

What is the equation for the model with 3 triangles and 1 circle? (circles = 1, triangles = t)

Back

1 + 3t = 10.