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Linear equations (one variable)

Total questions: 20

Worksheet time: 28mins

Name
Class
Date
1.

Solve the below equation, and use all algebraic steps.


-10 = -5 (y + 9)

a)

y = - 7

b)

y = -14

c)

y = -11

d)

y = 11

2.

f+103=11\frac{f+10}{-3}=-11  

(a)  

3.

92-(80-2) x = 2

a)

57

b)

14

c)

21

d)

6

4.

Solve for the variable

 x412=3\frac{x-4}{12}=-3  

a)

-32

b)

0

c)

-40

d)

9

5.

-57 = 3(y - 7)

a)

y = 12

b)

y = 26

c)

y = -12

d)

y = 13

6.

 2(x5)4=22-2\left(x-5\right)-4=-22  

(a)  

7.

1+8(x.01)=4.21+8\left(-x-.01\right)=4.2  

a)

2

b)

-.41

c)

-5

d)

.7

8.

7(9 + K)= 84

k = (a)  

9.

4(4 + 6n) = -152

a)

-7

b)

38

c)

24

d)

-3

10.

-(6h+7) + 6 = -19

a)

h = -1

b)

h= -3

c)

h = 3

d)

h=0

11.

Solve the following equation:

 5(8x12)=100-5\left(8x-12\right)=-100  





(a)  

12.

2 (x - 4) =18

a)

x = 20

b)

x = 7

c)

x = 11

d)

x = 13

13.

Solve:

 96=6(k+8)96=6\left(k+8\right)  



(a)  

14.

Solve.

 3(x8)=87-3\left(x-8\right)=87  

a)

x = -21

b)

x = 21

c)

x = 37

d)

x = -37

15.

44=4+2(x8)44=4+2(x-8)

a)

x=28x=28

b)

x=28x=-28

c)

x=12x=12

d)

x=12x=-12

16.

Solve for y.

6(y - 5) = 21

a)

y = 4.16

b)

y = 8.5

c)

y = -1.5

d)

y = 306

17.

77 = 7 ( - 5 - 4x )

(a)  

18.

What is X?

2 (x + 1) = 15

a)

8

b)

6.3

c)

5

d)

6.5

19.

4 (1 + 4x ) = 84

a)

x = -6

b)

x = 8

c)

x = 5

d)

x = -4

20.

 23(x4)=2\frac{2}{3}\left(x-4\right)=2  

Solve.

a)

-1

b)

1

c)

-7

d)

7