Direct and Inverse Operation

Show direct variation, inverse variation, or neither.

• Direct Variation

• Inverse Variation

• Neither

The variables x and y vary inversely, and y = 8 when x = 2. Write an equation that relates x and y. Then find y when x = -4.

• Direct Variation

• Inverse Variation

• Neither

The operation that reverses or "undoes" the effects of another operation. These are used to isolate a variable when solving equations.

• Reciprocal Operations

• Identity Operations

• Opposite Operations

• Inverse Operations

An ​ (a)   takes a previously found result ( a y value) and returns it to its original value (x value). This means you are ​ (b)   a function

• function

• inverse

• 2 or more

• undoing

Operations that undo each other

• inverse operation

• Pythagorean Theorem

• outlier

• absolute value

• direct variation
• inverse variation
• neither direct nor inverse variation

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

• 300

• 75

• 1,875

• 12

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

• 14

• 10

• 2

• -14

Which of the following represents direct variation?

• y = kx

• y = k/x

• y = x/k

• y = mx + b