Make X the Subject

Level 1

100

x + b = e Make x the subject.

x = e - b

200

x - t = m Make x the subject

x = m + t

300

x - f = a - x Make x the subject.

x = (a + f)/2

400

3x + 7g = 14 - 4x Make x the subject. Put answer in simplest form.

x = 2 - g

500

x^2 = x(3 - y) Make x the subject. "x^2" means "x squared."

x = 3 - y

Level 2

100

y = 3x Make x the subject

x = y/3

200

hx = m Make x the subject.

x = m/h

300

mx = a + b Make x the subject.

x = (a + b)/m

400

xm = h - m Make x the subject. Make sure your answer is in simplest form (no denominator if possible).

x = h/m - 1

500

4x = -x + 3 + x - 2 - x + 1 Make x the subject. Put your answer in simplest form.

x = 2/5

Level 3

100

a(x - b) = c Make x the subject.

x = c/a + b

200

k(x - a) = btk Make x the subject.

x = bt + a

300

h(a - x) = y Make x the subject.

x = a - yh

400

p = n + rx Make x the subject of this formula.

x = (p - n)/r

500

Chris's age is 2 times 10 years more than Gina's age. Write a formula for Chris's age.

C = 2(10 + G)

Level 4

100

x / t = m Make x the subject.

x = mt

200

x/t = h + i Make x the subject.

x = t(h + i)

300

x / t - b = 17 Make x the subject.

x = t(17 + b)

400

y = 5(3 - 2xz) Make x the subject. Don't write any fractions of fractions (i.e. only one numerator and one denominator).

x = 3/2z - y/(10z) or x = (15 - y)/10z

500

Tim earns £10 for every lawn he mows. It takes Tim one hour to mow a lawn. Whenever he helps out at his sister's laundromat, he earns 1/5 of whatever money her laundromat earned during the hours he was working. L = number of hours Tim spends mowing lawns. H = number of hours Tim works in the laundromat S = the laundromat's hourly earnings Write a formula for T, the total Tim earns, based on how many hours he works at his different jobs.

T = 10L + HS/5

Level 5

100

y = 6z - 5x + 4 x = 3 z = 2 Find the value of y.

y = 1

200

T = 3p - q p = 2 q = 2.4 Find the value of T

T = 3.6

300

y = 6m + b m = 0.15 b = 0.14 Work out the value of y

y = 1.04

400

A very special cake recipe's cooking time depends on the amount of cake batter, and the size of the baking pan. (If the pan has a greater area, the cooking time goes down.) The recipe states, for every mL of batter, bake for 5 minutes at 220 C, then bake at 180 C for 10 minutes for every square cm less than the standard 26 cm^2. Write a formula for the amount of time it will take to bake a cake.

T = 5m + 10(26 - s)

500

This equation describes two capacitors working in a single system. 1/T = 1/A + 1/B T is the total capacity of the system. Find the total capacity of the system if capacitor A has a capacity of 2, and capacitor B has a total capacity of -3.

T = 6