Solving Equations with Variable on Both Sides

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears in expressions on both the left and right sides of the equation.

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.

Front

What is the first step in solving the equation 4k + 39 = 7k + 6?

Back

The first step is to move all terms involving the variable k to one side of the equation.

Front

What is the solution to the equation 4k + 39 = 7k + 6?

Back

The solution is k = 11.

Front

What is a coordinate point?

Back

A coordinate point is a pair of numbers that define a position on a graph, usually written as (x, y).

Front

How do you identify a point on a graph?

Back

To identify a point, look at its coordinates, which indicate its position along the x-axis and y-axis.

Front

What is the significance of the x-coordinate in a point?

Back

The x-coordinate indicates the horizontal position of the point on the graph.