Study Guide: STATS, Direct and Inverse Variation, and Dividing Polynomials
Direct and Inverse Variation Questions:
1. What is the direct variation formula?
2. What is the formula for the constant of
variation in direct variation?
3. What is always the y-intercept of a direct
variation graph?
4. What is the inverse variation formula?
5. What is the formula for the constant of
variation in inverse variation?
6. What is the constant of variation?
7. "y varies inversely with x". If y = 12 when x =4, write the inverse
variation equation then find y when x = 20.
8. "y varies directly with x". If y = 12 when x =4, write the direct variation
equation then find y when x = 20.
9. Circle the equations that are direct variation. Put a box around inverse
variation equations. Cross out equations that are neither.
x
3
7
6
1
60
4
2
y
6
15
12
24
120
6
12
10. Select three points from the table that will
create a direct variation relation.
11. Select three points from the table that will
create an inverse variation relation.
***Make sure you also know how to graph direct variation equations***
STATS Questions: (Use your formula sheet for the z-score formula)
Dividing Polynomials
Simplify the following expressions by dividing:
Dividing by a Binomial
*To divide a polynomial by a binomial, you must factor!!
Step 1: Factor the numerator
Step 2: Reduce the fraction by cancelling out the common factor
Simplify each expression.
13)
14)
15)
(
)