Solving Equations With Variables 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 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 2x = x + 3?

Back

Subtract x from both sides to get 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 30 + 6t = 11t?

Back

t = 6.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve the equation: 7x - 4 = 3 + 8x.

Back

x = -7.

Front

What is the solution to the equation f - 4 = 6f + 26?

Back

f = -6.