Solving Literal Equations

Front

What is a literal equation?

Back

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

Front

How do you isolate a variable in a literal equation?

Back

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

Front

What is the first step to solve the equation A = LW for L?

Back

To solve for L, divide both sides of the equation by W: L = A/W.

Front

How do you solve for s in the equation -2 = 4r + s?

Back

Subtract 4r from both sides to isolate s: s = -2 - 4r.

Front

What is the solution for x in the equation x + 7g = 9?

Back

Subtract 7g from both sides: x = 9 - 7g.

Front

How do you solve for w in the equation x = w/a?

Back

Multiply both sides by a to isolate w: w = ax.

Front

What is the formula to solve for F in the equation S = 3F - 24?

Back

Add 24 to both sides and then divide by 3: F = (S + 24)/3.

Front

What is the importance of rearranging equations in algebra?

Back

Rearranging equations allows us to express one variable in terms of others, making it easier to solve for specific variables.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the general strategy for solving literal equations?

Back

The general strategy involves identifying the variable to isolate, using inverse operations, and rearranging the equation step by step.