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).

Tags

CCSS.HSF-BF.A.1C

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.

Tags

CCSS.HSF-BF.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean for a function to vary inversely?

Back

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

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

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.