Solving Linear Equations (copied and edited)

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 of 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 19 - 2k = 3k - 1?

Back

The first step is to isolate the variable on one side of the equation, typically by moving all terms involving the variable to one side and constant terms to the other.

Front

How do you combine like terms in the equation 19 - 2k = 3k - 1?

Back

You combine like terms by adding or subtracting the coefficients of the same variable. For example, in this equation, you would add 2k to both sides to combine the k terms.

Front

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

Back

The error is in the step where they added 3k instead of subtracting 3k from both sides.

Front

Back

x = 0.

Front

Back

Add 9 to both sides to isolate the term with w, then multiply both sides by 5 to eliminate the fraction.

Front

Back

w = 50.

Front

What is the solution for m if the equation is m + 15 = 0?

Back

m = -15.

Front

Solve for v in the equation 8v - 4(v + 8) = 8.

Back

v = 10.