Solving Equations

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 the first step in solving the equation 3x + 7 = -8?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

Solve for x: 3x + 7 = -8

Back

x = -5

Front

What is the first step in solving the equation 3x - 2 = -5?

Back

Add 2 to both sides.

Front

Back

w = 50

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows us to determine its value by simplifying the equation.

Front

What are the steps to solve the equation 5b - 6 = 24?

Back

Add 6 to both sides and then divide both sides by 5.

Front

Solve for x: 4x - 8 = 24

Back

x = 8

Front

What is the principle of equality in solving equations?

Back

The principle of equality states that if you perform the same operation on both sides of an equation, the equality remains true.