Using the given relationship, write an expression and solve the equation for R.
P varies jointly as Q and half of R.

Using the given relationship, write an expression and solve the equation for t.
x varies jointly as y and the square of z and inversely as the square of t.

Solve the given problem using the four-step procedure.
y varies directly as x and inversely as the square of z. y = 24 where x = 98 and z = 7. Find y where x = 9 and z = 6.

Evaluate by first removing the radicals from the denominator: 

(1 + 3√3) / (9 - 2√3)

Which among the choices is an inconsistent equation?

Which among the choices is an identity equation?

a) 2(x - 4) = 2x - 8

b) y + x = 1

c) 5x + 5 = 5(x - 1)

d) 6x + 3 = 9x - 3

Solve the given equation for x:

[(9 + 7)² ÷ 8] × 2 = - 64x