Solving for x, y and Domain and Range

Front

What is the first step in getting 'x' by itself in the equation 3x - 7 = 28?

Back

Add 7 to both sides of the equation.

Front

Solve by taking the square root: 4x² = 100

Back

x = ±5.

Front

Solve for y in the equation 4x + 3y = 9.

Back

y = -4/3x + 3.

Front

Use the Distributive Property to solve the equation: 4( x + 2) = 16.

Back

x = 2.

Front

Solve for x by taking the Square Root: (x+6)² = 49.

Back

x = 1 and -13.

Front

What is the definition of 'Domain' in a function?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of 'Range' in a function?

Back

The set of all possible output values (y-values) for a function.

Front

How do you find the domain of the function f(x) = 1/(x-3)?

Back

The domain is all real numbers except x = 3.

Front

What is the process to isolate 'y' in the equation 2y + 5 = 15?

Back

Subtract 5 from both sides and then divide by 2.

Front

What does it mean to solve an equation?

Back

To find the value(s) of the variable(s) that make the equation true.