Free Printable Q3_QUIZ#2_JOINT AND COMBINED VARIATION

1.

Tell whether the statement is TRUE or FALSE.

If m varies jointly as p and q, then $m=pq$ .

a)

TRUE

b)

FALSE

2.

Tell whether the statement is TRUE or FALSE.

If m varies directly as n and inversely as p, $m=\frac{kn}{p}$ .

a)

TRUE

b)

FALSE

3.

Tell whether the statement is TRUE or FALSE.

If m varies jointly as n and the square of p, then $m=\frac{kn}{p^2}$ .

a)

TRUE

b)

FALSE

4.

If p varies directly as r and inversely as t, we may write the equation as

a)

$\frac{p}{t}\cdot\ t=k$

b)

$pt=kr$

c)

$p=\frac{kr}{t}$

d)

$All\ \ \ of\ the\ above$

5.

If y varies jointly as a and b, the equation can be written as

a)

$aby=k$

b)

$\frac{ab}{y}=k$

c)

$y=kab$

d)

$y=\frac{k}{ab}$

6.

W varies jointly as c and the square of a and inversely as b is written as

a)

$k=\frac{Wa}{bc}$

b)

$W=\frac{kca}{b}$

c)

$W=\frac{k\ c\ a^2}{b}$

d)

$k=\frac{Wca^2}{b}$

7.

What is the formula to find the constant of variation in the equation $P=\frac{kx^2}{s}$ ?

a)

$k=px^2$

b)

$k=\frac{Ps}{x^2}$

c)

$k=\frac{sx^2}{P}$

8.

The volume V varies jointly as its length (l), width (w) and height (h). What is the equation of variation?

a)

$V=klwh$

b)

$V=2lwh$

9.

The volume V varies jointly as its length (l), width (w) and height (h). What is the equation to find the value of the constant?

a)

$\frac{V}{lwh}=k$

b)

$\frac{V}{2lwh}=k$

10.

w varies directly as the square of x and inversely as p and q. If w =12 when x = 4, p=2 and q =20, find w when x=3, p=8, and q=5.

a)

$10$

b)

$9$

c)

$\frac{27}{4}$

d)

$5$

Q3_QUIZ#2_JOINT AND COMBINED VARIATION_ACCURACY

Total questions: 10

Worksheet time: 3hrs 30mins

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