Solving Multi-Step Equations and Literal Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables and is solved for one variable in terms of the others.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

Solve for y: 3y - 5 = 16

Back

y = 7

Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

Distribute -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value for the variable satisfies the equation, often resulting in a true statement.

Front

Solve for R in the equation pV = nRT.

Back

R = pV/nT.