Algebra 2 Final Review

Front

If y varies inversely with x, what is the relationship between y and x?

Back

y = \frac{k}{x}, where k is a constant.

Front

If y varies directly with x, what is the relationship between y and x?

Back

y = kx, where k is a constant.

Front

What is the formula for finding the composite function f(g(x))?

Back

To find f(g(x)), substitute g(x) into f(x).

Front

If y varies directly with x and inversely with z, how can you express y?

Back

y = k \frac{x}{z}, where k is a constant.

Front

What is the result of f(x) = 3x + 4 and g(x) = 2x + 1 when added together?

Back

f(x) + g(x) = 5x + 5.

Front

If y = 2 when x = 4 and z = 8, how do you find y when x = 2 and z = 8?

Back

Use the relationship y = k \frac{x}{z} to find k, then substitute x and z.

Front

What does it mean for a function to vary directly?

Back

It means that as one variable increases, the other variable also increases proportionally.

Front

What does it mean for a function to vary inversely?

Back

It means that as one variable increases, the other variable decreases proportionally.

Front

How do you find the constant of variation in direct variation problems?

Back

Use the formula k = \frac{y}{x} when y varies directly with x.

Front

How do you find the constant of variation in inverse variation problems?

Back

Use the formula k = yx when y varies inversely with x.