Literal Equations

Front

What is a literal equation?

Back

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

Front

How do you isolate a variable in an equation?

Back

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

Front

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

Back

Divide both sides by L to isolate w: w = A/L.

Front

In the equation x + 7 = 12, what operation should be performed to solve for x?

Back

Subtract 7 from both sides to isolate x: x = 12 - 7 = 5.

Front

How do you solve the equation y - 3 = 2(x + 4) for y?

Back

Distribute 2 to (x + 4) to get y - 3 = 2x + 8, then add 3 to both sides: y = 2x + 11.

Front

What is the formula for solving a linear equation in the form Ax + By = C?

Back

To solve for y, rearrange the equation to y = -A/B * x + C/B.

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

How do you solve for y in the equation 4x + 3y = 9?

Back

Rearrange to isolate y: 3y = -4x + 9, then divide by 3: y = -4/3x + 3.

Front

What is the purpose of rearranging equations?

Back

Rearranging equations allows you to solve for a specific variable in terms of others, making it easier to understand relationships between variables.

Front

What is the first step to solve the equation r = vt for r?

Back

The equation is already solved for r; it expresses r in terms of v and t.