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 -8x - 8 + 3(x - 2) = -3x + 2?

Back

The first step is to simplify both sides of the equation by distributing and combining like terms.

Front

What is the solution to the equation -7(z - 6) = -70?

Back

The solution is z = 16.

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to solve for the variable.

Front

What is the goal of solving a two-step equation?

Back

The goal is to find the value of the variable.

Front

Solve the equation: x - 8 = -5.

Back

The solution is x = 3.

Front

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

Back

The solution is x = 3.

Front

What does the term 'coefficient' refer to in an equation?

Back

A coefficient is a number that is multiplied by a variable in an equation.

Front

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

Back

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