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 (usually x) that makes the equation true.

Front

What is the first step in solving the equation 4x + 1 = 7x - 5?

Back

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

Front

Solve for x: 4x + 1 = 7x - 5

Back

x = 2

Front

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

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power to simplify the equation.

Front

What is the solution to the equation 7x + 19 = -2x + 55?

Back

x = 4

Front

How do you distribute in the equation 2(2x + 3)?

Back

You multiply each term inside the parentheses by 2, resulting in 4x + 6.

Front

Solve for x: 2(2x + 3) = -6(x + 9)

Back

x = -6

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, confirming its correctness.

Front

Solve for x: 10 = 3x - 12

Back

x = 22/3