Linear Equations in One Variable

Front

What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be expressed in the form ax + b = 0, where a and b are constants and x is the variable.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What does it mean to isolate the variable?

Back

Isolating the variable means rearranging the equation so that the variable is alone on one side, making it easier to find its value.

Front

What is the solution of the equation 12 - 5(x - 7) = 2x + 12?

Back

x = 5

Front

What is the solution of the equation 4(x - 9) - (x - 12) = 2x - 15?

Back

x = 9

Front

What is the solution of the equation 8(3x - 5) = 9x + 5?

Back

x = 3

Front

What is the solution of the equation x - 15 = -19?

Back

x = -4

Front

What is the solution of the equation 2x - 3(x + 4) = -5?

Back

x = -7

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

What is the first step in solving the equation 2(x + 3) = 14?

Back

The first step is to apply the distributive property: 2x + 6 = 14.