formulas and literal equations

Front

What is a literal equation?

Back

A literal equation is an equation that contains two or more variables. It is often used to express relationships between quantities.

Front

How do you isolate a variable in an equation?

Back

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

Front

Solve for y: 3x + y = 12

Back

y = -3x + 12

Front

Rewrite this formula and solve for y: 9x + y = 27

Back

y = -9x + 27

Front

Solve for y: 8x + 4y = 16

Back

y = -2x + 4

Front

Rewrite this formula and solve for y: 6x + 3y = 48

Back

y = -2x + 16

Front

Solve for y: 2x + 2y = 6

Back

y = -x + 3

Front

What is the first step to solve the equation 4x + 2y = 10 for y?

Back

Subtract 4x from both sides to isolate the term with y.

Front

If you have the equation y = mx + b, what do m and b represent?

Back

m represents the slope of the line, and b represents the y-intercept.

Front

What does it mean to 'solve for a variable'?

Back

To solve for a variable means to manipulate the equation to express that variable in terms of other variables or constants.