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 = 0, where a and b 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 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

Solve the equation: 3x + 7 = -8

Back

x = -5

Front

What is the solution to the equation -5x = 25?

Back

x = -5

Front

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

Back

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

Front

What is the distributive property?

Back

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

Front

Solve for x: 2(3x + 4) + 2 = 4 + 3x

Back

x = -2

Front

What is the error in the following steps? 19 - 2k = 3k - 1; +3k; 19 + 1k = -1; -19; k = -20

Back

Instead of adding 3k, they should subtract 3k.

Front

What is the solution to the equation 2x - 4 = 10?

Back

x = 7