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 3m - 4 = 5m + 10?

Back

The first step is to isolate the variable on one side of the equation by moving all terms involving the variable to one side and constant terms to the other.

Front

Solve for m: 3m - 4 = 5m + 10

Back

m = -7

Front

What is the distributive property?

Back

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

Front

How do you apply the distributive property to -11 + 3(b + 5)?

Back

Distributing gives -11 + 3b + 15, which simplifies to 3b + 4.

Front

Solve for b: -11 + 3(b + 5) = 7

Back

b = 1

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for g: 2g - 3 + 4g = 27

Back

g = 5