Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 10 - 3y = 4?

Back

Subtract 10 from both sides to isolate the term with the variable.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation -6w + 1 = -11?

Back

w = 2.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for x: 8x - 10 = -34.

Back

x = -3.

Front

What is the result of applying the distributive property to 6(2x + 2)?

Back

12x + 12.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.