Solving Linear Equations & Literal Equations

Front

What is the Definition of INFINITELY MANY SOLUTIONS?

Back

No matter what value is substituted in for the variable, the equation will ALWAYS be true.

Front

To solve an equation, the goal is to __________ the variable on one side.

Back

Isolate

Front

How Many Solutions Does the Equation 16 – 2(3x + 1) = 4(x + 11) Have?

Back

One Solution

Front

d = rt, solve for r.

Back

r = d/t

Front

Solve for x: 2x + 5 = 12

Back

x = 3.5

Front

What is a Linear Equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 3x - 7 = 2?

Back

x = 3.

Front

What is the definition of a Literal Equation?

Back

An equation that involves two or more variables.

Front

How do you check if a solution is correct?

Back

Substitute the solution back into the original equation to see if it holds true.