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 3w + 5 = 14?

Back

Subtract 5 from both sides of the equal sign.

Front

Solve: 7x - 3x - 8 = 24

Back

x = 8

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

Solve: 3(x - 2) = 18

Back

x = 8

Front

What is the distributive property?

Back

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

Front

Solve for x: 5 + 3x = 8x - 15

Back

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

Solve for x: 8x + 2 + 3x + 5 = x + 12

Back

x = 1/2