Solving Linear Equations Practice/Review

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 6x + 7 = 13 + 7x?

Back

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

Front

How do you combine like terms in the equation -3(1 + 9x) - 7(-12x + 1) = 1 + 10x - 11 - 6x?

Back

You distribute the constants and then combine the x terms and constant terms on both sides of the equation.

Front

What is the solution to the equation 3 - 5x = -9 + x?

Back

The solution is x = 2.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side by itself.

Front

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

Back

The solution is x = 4.

Front

What is the importance of checking your solution in a linear equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is the result of simplifying the expression -5(2x - 9)?

Back

The result is -10x + 45.

Front

What is the solution to the equation -5(2x - 9) = 2(x - 8) - 11?

Back

The solution is x = 6.