GVMS - Solve 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 like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

What is the first step in solving the equation 17 = 12x - 9x + 2x + 2?

Back

Combine like terms on the right side: 12x - 9x + 2x = 5x.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 6(2n + 5) = 66?

Back

n = 3.

Front

How do you check if a number is a solution to an equation?

Back

Substitute the number into the equation and see if both sides are equal.

Front

Is 7 a solution to the equation 3x + 8 - x = 5x - 4?

Back

No, substituting 7 does not satisfy the equation.

Front

What is the process to solve the equation 2a + 4 = 7 + a?

Back

Subtract 'a' from both sides and then subtract 4 from both sides to isolate 'a'.

Front

What is the first step to solve 1 + 4n - 6n = 1 - 8n?

Back

Combine like terms: 4n - 6n = -2n.