Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 2x = x + 3?

Back

Subtract x from both sides to isolate the variable: 2x - x = 3.

Front

What is the solution to the equation 2y + 7 = 11?

Back

y = 2.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation 7x = 3x + 24?

Back

x = 6.

Front

What does it mean to have a variable on both sides of an equation?

Back

It means that the equation contains the same variable in different expressions on both sides, requiring manipulation to solve.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

Front

What is the distributive property in solving equations?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

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.