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4.02 Review: Two-step equations

Worksheet
Two-step equations
1

Determine whether or not the given value of x is a solution to the following equations:

a

4 x - 2 = 18 where x = 5

b

6 x - 13 = 12 where x = 4

c

5 x + 12 = 31 where x = 4

d

3 x + 1 = 7 where x = 2

2

Solve:

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:

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

4

Solve:

a

8 m + 9 = 65

b

8 x - 9 = 39

c

4 x - 8 = 0

d

5 x - 8 = 2

e

4 x + 36 = 40

f

7 x - 63 = 49

g

- 10 + 3 k = 5

h

- x - 7 = 7

i

- x + 5 = - 1

j

7 x + 14 = 0

k

- 63 - 9 y = 63

5

Solve:

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
6

Solve:

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

7

Solve:

a

\dfrac{c - 4}{4} = 7

b

\dfrac{4}{9} \times n = 10

c

- 6 = \dfrac{y}{- 7}

d

\dfrac{x}{2} - 3 = 1

e

\dfrac{x}{2} + 8 = 10

f

\dfrac{x + 9}{7} = 4

g

\dfrac{x}{7} + 3 = - 1

h

- \dfrac{1}{8} x = 6

i

- 5 = \dfrac{x}{5}

j

\dfrac{1}{8} x = - 8

k

- \dfrac{1}{8} x = - 8

8

Solve:

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

14 = 3 r - 7

h

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

i
6 = \dfrac{t}{5} - 3
j

17 - 8 s = -7

k

10 = 2x + 6

l

-15 -5x = 10

m
7 - \dfrac{x}{2} = 9
n
-10=5 + \dfrac{w}{4}
o

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

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