8th Grade 2.4 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.

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 sides of the equality sign.

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 4x - 5x + 9 = 5x - 9?

Back

Combine like terms on both sides of the equation.

Front

What is the solution to the equation 4x - 5x + 9 = 5x - 9?

Back

x = 3.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

Front

What is the process to solve the equation 2k + 7 = 5k - 8?

Back

Subtract 2k from both sides and add 8 to both sides to isolate k.