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 isolate a variable in a linear equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve the linear equation: 5z + 2 = 6

Back

z = 4 / 5

Front

Solve the linear equation: -12y = 108

Back

y = -9

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

Solve the linear equation: 8(3x - 5) = 9x + 5

Back

x = 3

Front

What is the first step in solving the equation x / 7 = -8?

Back

Multiply both sides by 7 to eliminate the fraction.

Front

Solve the linear equation: x / 7 = -8

Back

x = -56

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 the linear equation: 4(x - 9) - (x - 12) = 2x - 15

Back

x = 9