Direct and Inverse Variation Worksheet
Algebra 2
9.1 D1 Direct, Inverse, & Joint Variation Name:____________________________ P. _____
Write an equation for the given relationship.
1) y varies jointly with m and the square root of b. _________________________
2) y varies inversely with the square of x. _________________________
3) z varies inversely with x and jointly with y and w. _________________________
4) a varies directly with c and inversely with d. _________________________
Classify the following as Direct (D), Inverse (I), Joint (J), or No (No) Variation.
5) m = -5p D I J No 6) c = [pic] D I J No
7) c = 3vm D I J No 8) r = [pic] D I J No
9) n = ½ f D I J No 10) uw = -18 D I J No
Write an equation relating the variables, then find the missing variable:
11) y varies directly with x. If y = –4 when x = 2, find y when x = –6.
Equation: ________________________ y = _________
12) y varies inversely with x. If y = 40 when x = 16, find y when x = –5.
Equation: ________________________ y = _________
13) y is inversely proportional to x. If y = 7.5 when x = 8, find x when y = 5.
Equation: ________________________ x = _________
14) r is directly proportional to the square of x. If r = 72 when x = 12, find r when x = 8.
Equation: ________________________ r = _________
15) z varies jointly with x and y. If x = 12, y = 4, and z = 2, find z when x = 2 and y = 6.
Equation: ________________________ z = _________
16) p varies jointly with q and the cube of r. If p = 270 when q = 6 and r = 3, find p when q = 3 and r = 5.
Equation: ________________________ p = _________
Answer the following questions.
17) If x and y vary directly, as x decreases, what happens to the value of y? ____________________
18) If x and y vary inversely, as y increases, what happens to the value of x? ___________________
19) If x and y vary directly, as y increases, what happens to the value of x? ___________________
Answer the following questions:
20) The electric current I, is amperes, in a circuit varies directly as the voltage V. When 12 volts are applied,
the current is 4 amperes. What is the current when 18 volts are applied?
________________________
21) The volume V of gas varies inversely to the pressure P. The volume of a gas is 200 cm3 under pressure
of 32 kg/cm2. What will be its volume under pressure of 40 kg/cm2?
________________________
22) For Tim’s savings account, the interest earned varies jointly with the principal and the amount of time (in years) since opening the account. If Tim opened the account 3 years ago with $1200 and earned $144 in interest, how much interest will he have earned 8 years after opening the account?
________________________
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- direct and indirect variation problems
- direct and indirect variation pdf
- direct and inverse variation equations
- direct and indirect variation formula
- direct and inverse variation examples
- direct and inverse variation algebra 1
- direct and indirect variation equations
- direct and inverse variation calculator
- direct and inverse variation pdf
- direct and indirect variation examples
- direct and inverse variation equation
- direct and inverse variation worksheet