Literal Equations

Front

What is a literal equation?

Back

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

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

What operation is performed to both sides of an equation to maintain equality?

Back

The same operation must be performed on both sides of an equation to maintain equality.

Front

How do you solve for x in the equation 5x + 9 = 2x - 3?

Back

Subtract 2x from both sides to get 3x + 9 = -3, then subtract 9 from both sides to get 3x = -12, and finally divide by 3 to find x = -4.

Front

What is the first step in solving the equation Y = MX + B for X?

Back

To solve for X, you need to rearrange the equation to isolate X on one side.

Front

What is the formula for solving Y = MX + B for X?

Back

Front

What does the slope (M) represent in the equation Y = MX + B?

Back

The slope (M) represents the rate of change of Y with respect to X.

Front

What does the Y-intercept (B) represent in the equation Y = MX + B?

Back

The Y-intercept (B) represents the value of Y when X is 0.

Front

How can you check if your solution for x is correct?

Back

You can substitute your solution back into the original equation to see if both sides are equal.

Front

What is the purpose of rearranging equations?

Back

Rearranging equations helps to isolate variables and solve for unknowns.