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Algebraic equations

KS3 Maths Foundation Questions – Algebraic equations

1) Solve the linear equations:

a) 5x + 9 = 16, x =

b) 9 – 3x = 12, x =

c) 20x – 20 = 180, x =

d) 45 + 9x = 98, x =

e) 6y + 8 = 50, y =

f) 44 – 4y = 84, y =

g) 15y – 20 = 70, y =

h) 38 + 8y = 94, y =

2) Solve these harder linear equations:

a) 5? x 9 = 90, ? =

b)

c) 6y x 3 = 54, y =

d)

e) 7? x 8 = 224, ? =

f)

g) 6y x 8 = 384, y =

h)

3)Solve for x:

a) 5? + 9 = 6?, ? =

b) 5? + 17 = 7? − 13 , ? =

c) 6? + 3 = 9? + 24, ? =

d) 12? – 18 = 6? + 144 ? =

e) 10? – 9 = 4? – 177 ? =

f) 76 – 13? = 172 – ?, ? =

g) 12 – 3? = 81 – 6?, ? =

KS3 Maths Higher Questions – Algebraic equations

1) Solve the equations:

a) 45 + 9x = 98, x =

b) 6y + 8 = 50, y =

c) 6y x 3 = 54, y =

d) 7? x 8 = 224, ? =

e)

f)

g)

h)

2) Solve for x:

a) 3(? − 1) = 21, ? =

b) 2(3? – 5) = 170 , ? =

c) 6(4? + 7) = 282, ? =

d) 6(2? – 3) = 6(? + 24) ? =

e) 10? – 9 = 4? – 177, ? =

f) 76 – 13? = 172 – ?, ? =

g) 3(4 – ?) = 3(27 – 3?), ? =

3) Solve the following harder equations as well as quadratic and cubic equations:

a) 3(? + 2) + 2(? − 4) = ? − 3(? + 3), ? =

b) 5(? − 1) + 3(? − 4) = −11, ? =

c) ?2 −7? + 10 = 0, ? =

d) ?2 −6? – 7 = 0, ? =

e) ?3 − 3?2 + 3? – 1 = 0, ? =

f) ?3− 2?2 − 5? + 6 = 0, ? =