Equations and Formulas

Linear inequalities

100

9 < 2x - 7

x > 8

200

-6m - 14 < 15

m > - 29/6

300

(3t - 4)/2 > -6

t > -8/3

400

-11 > -7(1-y)

y < -4/7

500

-5(4r + 1)/3 < 10

r > -7/4

Formula Substitution

100

F = ma, when m = 4 and a = 6

F = 24

200

t = d/v, wen d = 18 and v = 24

t = 3/4

300

V = r²/4g when r = -4 and g = 2

V = 2

400

x = ut + 1/2*at² when u = 0, t = 4 and a = 10

x = 90

500

Q = sqrt(2gh) where g = 9.8 and h = 11.4

(Answer to 2 decimal places)

Q = 14.95

Formula Rearrangement

100

v = u + at      [a]

a = (v - u)/t

200

P = mgh      [g]

g = P/(mh)

300

v² = u² + 2as      [s]

s = (v² - u²)/2a

400

s = 1/2 *at^2          [t]

t = sqrt(2s/a)

500

t = (2r + c)²          [r]

r = (sqrt(t) - c)/2

Quadratic Equations

100

x² = 42

x = sqrt(42) or -sqrt(42)

200

-3x² = -108

x = 6 or -6

300

1/(2x²) = 72

x = 1/12 or -1/12

400

3x² - 75 = 0

x = 5 or -5

500

10 - x² = - 12

x = sqrt(22) or -sqrt(22)