Solving Equations Review

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 a variable in mathematics?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in an equation.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2.

Front

What is the first step in solving the equation 3x - 5 = 10?

Back

Add 5 to both sides to isolate the term with the variable.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 4x + 1 = 8x - 3?

Back

x = 1.

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 two or more terms inside a parenthesis.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1.