Select Page

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) 5𝑥 x 9 = 90, 𝑥 =

b)

c) 6y x 3 = 54, y =

d)

e) 7𝑥 x 8 = 224, 𝑥 =

f)

g) 6y x 8 = 384, y =

h)

3)Solve for x:

a) 5𝑥 + 9 = 6𝑥, 𝑥 =

b) 5𝑥 + 17 = 7𝑥 − 13 , 𝑥 =

c) 6𝑥 + 3 = 9𝑥 + 24, 𝑥 =

d) 12𝑥 – 18 = 6𝑥 + 144 𝑥 =

e) 10𝑥 – 9 = 4𝑥 – 177 𝑥 =

f) 76 – 13𝑥 = 172 – 𝑥, 𝑥 =

g) 12 – 3𝑥 = 81 – 6𝑥, 𝑥 =

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) 7𝑥 x 8 = 224, 𝑥 =

e)

f)

g)

h)

2) Solve for x:

a) 3(𝑥 − 1) = 21, 𝑥 =

b) 2(3𝑥 – 5) = 170 , 𝑥 =

c) 6(4𝑥 + 7) = 282, 𝑥 =

d) 6(2𝑥 – 3) = 6(𝑥 + 24) 𝑥 =

e) 10𝑥 – 9 = 4𝑥 – 177, 𝑥 =

f) 76 – 13𝑥 = 172 – 𝑥, 𝑥 =

g) 3(4 – 𝑥) = 3(27 – 3𝑥), 𝑥 =

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

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

b) 5(𝑥 − 1) + 3(𝑥 − 4) = −11, 𝑥 =

c) 𝑥2 −7𝑥 + 10 = 0, 𝑥 =

d) 𝑥2 −6𝑥 – 7 = 0, 𝑥 =

e) 𝑥3 − 3𝑥2 + 3𝑥 – 1 = 0, 𝑥 =

f) 𝑥3− 2𝑥2 − 5𝑥 + 6 = 0, 𝑥 =

1 2 3 4 5

“Everything you do now is for your future.