Solving Equations

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 is the first step in solving the equation 6n + 4 = -26?

Back

Subtract 4 from both sides to isolate the term with the variable.

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 6n + 4 = -26?

Back

n = -5.

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 set of parentheses.

Front

How do you apply the distributive property to -11 - 5a = 6(5a + 4)?

Back

Distribute 6 to both 5a and 4, resulting in -11 - 5a = 30a + 24.

Front

What is the solution to the equation -11 - 5a = 6(5a + 4)?

Back

a = -1.

Front

What is the process to solve 10x - 6x = 23 + 5?

Back

Combine like terms on the left side to get 4x = 28, then divide by 4.

Front

What is the solution to the equation 10x - 6x = 23 + 5?

Back

x = 7.