Front

What does it mean for y to vary directly with x?

Back

It means that y is proportional to x, which can be expressed as y = kx, where k is a constant.

Front

If y = 16 when x = 32, what is the constant of variation (k)?

Back

k = \frac{y}{x} = \frac{16}{32} = \frac{1}{2}.

Front

What is the equation representing the direct variation when y = 16 and x = 32?

Back

y = \frac{1}{2}x.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What is the solution to the equation - (4n + 7) = 2(n - 20)?

Back

n = 5.5.

Front

What is the equivalent expression for -9(5c + 4)?

Back

-45c - 36.

Front

What is the formula for direct variation?

Back

y = kx, where k is the constant of variation.

Front

If y = 14 when x = 6, what is the equation of the direct variation?

Back

y = \frac{7}{3}x.

Front

What does it mean for an equation to be equivalent?

Back

Two equations are equivalent if they have the same solution set.

Front

What is the first step in solving the equation - (4n + 7) = 2(n - 20)?

Back

Distribute the 2 on the right side: -4n - 7 = 2n - 40.