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9.05 Solving two-step equations

Worksheet
Two-step equations
1

Solve the following equations:

a
8 k = - 48
b
5 p = - 50
c

- 7 m = 63

d

5 m = 11

e

\dfrac{q}{5} = - 4

f

\dfrac{t}{5} = 1.6

g

\dfrac{- 44}{p} = 11

h

\dfrac{30}{q} = - 5

2

Solve the following equations, remembering to check your answer:

a

7 p + 6 = 41

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

7 x + 17 = 45

e
2 x + 13 = 19
f

4 x + 9 = 25

g

2 t + 13 = 35

h

7 m + 18 = 39

i

12 p + 3 = 51

j

2x + 14 = 20

k

6y + 4 = 34

l

3q + 9 = 12

m

-9 n + 8 = -55

n

- 5 t + 27 = 17

o

8u + 12 = -12

p

11x + 38 = 27

q

7y + 38 = 3

r

2 w + 9 = 37

s

p + 3.6 = 6.2

t

-r + 2.3 = -1.8

3

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 and brackets
4

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{t}{2} + 6 = -8
n
\dfrac{m}{2} + 11 = 16
o
\dfrac{y}{8} + 3 = 5
p
- \dfrac{n}{9} = 4
5

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{m+26}{17} = 3

f

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

g

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

h

\dfrac{m - 6}{4} = 4.25

6

Solve the following equations:

a
10 \left(p + 10\right) = 120
b
5 \left(t + 9\right) = 60
c
4 \left(x + 5\right) = 20
d
2 \left(p + 14\right) = 58
e
3 \left(p + 9\right) = 48
f

9 \left( x + 2 \right) = 27

g

2 \left( p + 9 \right) = 28

h

6 \left( x + 5 \right) = 54

i
3\left(n + 5\right) = 24
j
4 \left(k - 4\right) = 48
k
3 \left(s - 16\right) = - 21
l
9 \left(p - 3\right) = 0
m
2 \left(l - 12\right) = - 10
n
4 \left(s - 29\right) = 4
o
3\left(s - 9\right) = 3
p

13 \left( s - 7 \right) = 143

q

4 \left(k - 4\right) = 48

r
5 \left(n - 15\right) = 35
Mixed equations
7

Solve the following equations:

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

24 + p = - 2

d
\dfrac{3 y}{8} = -6
e
8=\dfrac{ -4m}{5}
f

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

g

\dfrac{u + 22}{6} = 4

h

14 = 3 r - 7

i
48 = 6 \left(p+8\right)
j

3 \left( 12 - x \right) = 90

k

8\left( 2 + s \right) = -32

l

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

m
6 = \dfrac{t}{5} - 3
n

17 - 8 s = -7

o
4 = 4 \left(s - 29\right)
p

10 = 2x + 6

q

-15 -5x = 10

r
7 - \dfrac{x}{2} = 9
s
-10=5 + \dfrac{w}{4}
t

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

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Outcomes

MA4-10NA

uses algebraic techniques to solve simple linear and quadratic equations

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