A.5A - Solve One Variable 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 solution to the equation 0.3(12x - 16) = 0.4(12 - 3x)?

Back

2

Front

What is the solution to the equation -4(2m - 7) = 3(52 - 4m)?

Back

32

Front

What value of n makes the equation 4(0.5n - 3) = n - 0.25(12 - 8n) true?

Back

-9

Front

Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?

Back

-56

Front

How do you isolate a variable in a linear equation?

Back

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

Front

What is the first step in solving the equation 42n - 13 = 17n + 12?

Back

Combine like terms by moving all terms involving n to one side and constant terms to the other.

Front

What is the distributive property?

Back

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

Front

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

Back

The solution is x = 5.