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iGCSE (2021 Edition)

6.01 Two-step equations

Worksheet
Two-step equations
1

Solve the following equations, remembering to check your answer:

a
2 w + 9 = 37
b
5 n + 35 = 15
c

7 x + 17 = 45

d
2 x + 13 = 19
e

4 x + 9 = 25

f

2 t + 13 = 35

g

7 m + 18 = 39

h

12 p + 3 = 51

i

2x + 14 = 20

j

6y + 4 = 34

k

3q + 9 = 12

l

-9 n + 8 = -55

m

- 5 t + 27 = 17

n

8u + 12 = -12

o

11x + 38 = 27

p

7y + 38 = 3

2

Solve the following equations:

a
6 m - 66 = - 12
b
8q - 42 = - 10
c

13 x - 2 = 24

d

5 t - 15 = 15

e

29 m - 8 = 21

f

11 x - 22 = 22

g

2p - 17 = 3

h

9q - 4 = 23

i

6n - 29 = 7

j

-7s - 23 = 19

k

12m - 7 = -19

l

-4x - 29 = -13

Equations with fractions
3

Solve the following equations:

a
\dfrac{x}{5} + 3 = 11
b
\dfrac{j}{8} - 17 = - 13
c
\dfrac{k}{8} - 13 = - 6
d
\dfrac{r}{6} - 3 = 4
e

\dfrac{x}{3} + 2 = 7

f

\dfrac{q}{2} + 18 = 25

g

\dfrac{s}{7} + 14 = 5

h

\dfrac{m}{5} + 13 = 22

i

\dfrac{p}{11} - 3 = 3

j

\dfrac{n}{8} - 5 = 4

k

\dfrac{p}{13} - 11 = -7

l

\dfrac{x}{12} + 2 = -6

m

\dfrac{s}{4} + 15 = 31

n

\dfrac{x}{6} + 25 = 17

o
\dfrac{t}{2} + 6 = -8
p
\dfrac{m}{2} + 11 = 16
4

Solve the following equations:

a
\dfrac{u + 7}{2} = 5
b
\dfrac{q - 10}{4} = - 6
c
\dfrac{m + 11}{2} = 10
d

\dfrac{47 + m}{15} = 3

e

\dfrac{r+11}{5} = 7

f

\dfrac{m+26}{17} = 3

g

\dfrac{t-5}{4} = 8

h

\dfrac{q-17}{3} = -4

Mixed equations
5

Solve the following equations:

a
\dfrac{8 t}{3} = 16
b
-13 = 7z-48
c
\dfrac{3 y}{8} = -6
d

11 - \dfrac{x}{6} = 9

e

14 = 3 r - 7

f

\dfrac{-2 + n}{6} = -15

g
6 = \dfrac{t}{5} - 3
h

17 - 8 s = -7

i

10 = 2x + 6

j

-15 -5x = 10

k
7 - \dfrac{x}{2} = 9
l

11 = \dfrac{x+1}{2}

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Outcomes

0607C2.3

Solution of linear equations.

0607E2.3

Solution of linear equations including those with fractional expressions.

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