Solving Equations with two variables

Front

What is an equation?

Back

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

Tags

CCSS.6.EE.A.2C

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.

Tags

CCSS.8.EE.C.7B

Front

What is a variable in mathematics?

Back

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

Tags

CCSS.6.EE.A.2B

Front

What is the goal when solving equations with two variables?

Back

The goal is to find the values of both variables that satisfy the equation.

Front

What is the first step in solving the equation 2x - 9 = 8x - 57?

Back

The first step is to isolate the variable x by moving all terms involving x to one side of the equation.

Front

What is the solution to the equation 2x - 9 = 8x - 57?

Back

x = 8.

Front

What is the solution to the equation 4x - 10 = 6x - 18?

Back

x = 4.

Front

What is the solution to the equation 3x - 14 = 8x - 24?

Back

x = 2.

Front

What is the solution to the equation 2x - 20 = 8x - 38?

Back

x = 3.

Front

What is the solution to the equation 3x + 9 = 6x - 21?

Back

x = 10.