Algebraic Fractions & Formulae

In which of the following, is E the subject of the formula?

• E = L ⁄ 5E
• 2E = bh
• E = mc²
• E² = u² + 2as

A rectangle is r cm long, s cm wide and has an area of P cm². Express P in terms of r and s.

• P = rs
• P = r ∕ s
• P = 2rs
• P = (rs)²

Given that x = 5 and y = ½, hence 3x² − 2xy =

• 25
• 55 
• 70
• 85

Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?

• 96h + 15 = 8

• h/96 = 8

• 8h + 15 = 96

• h/8 = 96

The formula d=16t^2 represents the distance d, an object falls in t seconds, where d is in feet. Find the distance an object that drops in 3 seconds.

• 144

• 96

• 166

• 128

In the formula below, is p is the subject?

• YES

• NO

Work out the value of p for the following:

(x - 3)² = x² - px + 9

• 6

• -6

• 0

• 1

• A.
• B.
• C.
• D.

• A.4x³/(x+2)
• B.4x³/(x+10)
• C.2x³/(5x+1)
• D. 2x³/(x+5)

• 6y⁴/x³
• 12x/y²
• 6xy²
• 32y⁴/75x³