Equations - Variables on both sides - Basic 1

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 are variables in an equation?

Back

Variables are symbols (usually letters) that represent unknown values in mathematical expressions or equations.

Front

What is the goal when solving equations with variables on both sides?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation -10x + 9 = -4x - 9?

Back

The first step is to add 10x to both sides to eliminate the variable from the left side.

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

The solution is w = -5.

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 importance of balancing an equation?

Back

Balancing an equation ensures that both sides remain equal after performing operations.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is alone on one side.

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

The solution is p = -5.