Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. 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 principle of equality in solving equations?

Back

The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

Front

What is the first step in solving the equation 3x - 5 = 7?

Back

Add 5 to both sides of the equation.

Front

What is the solution to the equation 3x - 7 = 3(x - 3) + 2?

Back

The equation has infinite solutions.

Front

What is the first step in solving the equation x - 5 = 7 - 2x?

Back

Add 2x to both sides of the equation.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside a set of parentheses.

Front

What is the solution to the equation 4x + 2 = 18?

Back

x = 4.