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Algebraic Equations with Integers, Fractions, and Decimals

Total questions: 51

Worksheet time: 3hrs 36mins

Name
Class
Date
1.
-3=k-5
k=?
a)
-⅗
b)
-15
c)
2
d)
-8
2.
18=n-2
n=?
a)
20
b)
9
c)
36
d)
16
3.
-26=m-6
m=?
a)
-156
b)
-20
c)
-4⅓
d)
-32
4.
r-18=-36
r=?
a)
-648
b)
-54
c)
-18
d)
-2
5.
a-12=-8
a=?
a)
4
b)
-20
c)
-96
d)
-⅔
6.
6+m=-2
m=?
a)
-⅓
b)
4
c)
-8
d)
-12
7.
-10v=-30
v=?
a)
-20
b)
-40
c)
3
d)
300
8.
a=?
a)
10
b)
-24
c)
-14
d)
-⅙
9.
17m=-340
a)
-357
b)
-20
c)
-323
d)
-5780
10.
152=-8n
n=?
a)
160
b)
-19
c)
19
d)
-1216
11.
n=?
a)
-1⅕
b)
-30
c)
-11
d)
-1
12.

SOLVE:

-9s = -63

a)

s = 7

b)

s = 72

c)

s = -7

d)

s = 54

13.

SOLVE:

x - 15 = -20

a)

-5

b)

5

c)

-35

d)

35

14.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
15.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
16.
Solve.  -2n - 4 = 32
a)
18
b)
0
c)
16
d)
-18
17.
Solve.   -8 = 3n + 4
a)
4
b)
1 1/3
c)
-1 1/3 
d)
-4
18.
Solve.    4 - 2n = 34
a)
17
b)
-17
c)
-15
d)
15
19.
Solve.    -11 = 4n + 5
a)
2
b)
3
c)
4
d)
-4
20.

Solve:

-6n - 8 = 22

a)

-5

b)

5

c)

3/7

d)

-3/7

21.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
22.
Solve.  5n - 4 = 21
a)
10
b)
-5
c)
5
d)
2
23.

Solve:

-3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

24.

Solve:

4x + 22 = -34

a)

-14

b)

-22

c)

16

d)

-20

25.
Solve     -5t + 9 = 24
a)
-3
b)
3
c)
12
26.
Solve    8 - 2x = 30
a)
-11
b)
11
c)
-12
d)
12
27.
Solve    2x -7 = -23
a)
-8
b)
8
c)
-7
28.
Solve  12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
29.
Solve   7 - 3y = 22
a)
-5
b)
5
c)
15
d)
-15
30.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
31.
c - 5.1 = 4.8
a)
3
b)
0.3
c)
9.9
d)
99
32.
h + 1.6 = 11
a)
9.4
b)
12.6
c)
12.4
d)
94
33.
r - 0.7 = 9
a)
83
b)
97
c)
8.3
d)
9.7
34.
7z = 2.1
a)
147
b)
14.7
c)
3
d)
0.3
35.
w/2.2 = 4
a)
8.8
b)
88
c)
1.8
d)
18
36.
Solve for n.
a)
91
b)
11.6
c)
1.16
d)
9.1
37.
Solve for n.
a)
9.7
b)
7.9
c)
97
d)
79
38.

x−3.64=2.8\frac{x}{-3.64}=2.8  

a)

-10.192

b)

-6.484

c)

-101.92

d)

10.192

39.

-4.2 + x = 8.8

a)

4.6

b)

-4.6

c)

13

d)

4.4

40.

-44.2 = -13x

a)

3.4

b)

-23.23

c)

-34

d)

-3.4

41.

Solve the equation: 2.5x + 1.3 = 5.8

a)

3.2

b)

6.1

c)

4.5

d)

1.8

42.

Find the value of x in the equation: 0.6x - 0.4 = 1.2

a)

2.67

b)

1.8

c)

3.14

d)

0.5

43.

Find the value of x in the equation: 1.5x + 0.7 = 3.4

a)

1.8

b)

4.2

c)

2.1

d)

0.9

44.

Solve the equation: 0.4x + 0.9 = 2.3

a)

x = 1.2

b)

x = 5.6

c)

x = 0.8

d)

x = 3.5

45.

Find the value of x in the equation: 1.2x - 0.5 = 2.9

a)

2.45

b)

0.9

c)

1.8

d)

3.2

46.

Find the value of x in the equation 3x + 0.9 = 7.2

a)

x = 1.5

b)

x = 2.1

c)

x = 3.8

d)

x = 4.3

47.

What is the solution to the equation 6.4x - 2.56 = 12.8?

a)

x = 1.5

b)

x = 5

c)

x = 2.5

d)

x = 3

48.

Solve for x: 4.2x + 3.36 = 11.76

a)

7

b)

2

c)

5

d)

3

49.

Find the value of x in the equation 2x + 1.5 = 5

a)

x = 3.5

b)

x = 4.5

c)

x = 2.5

d)

x = 1.75

50.

−1.3g+1.9=−11.1-1.3g+1.9=-11.1  

a)

6

b)

10

c)

-10

d)

8

51.

0.4x + 2.9 = 1.5

a)

4

b)

-3.5

c)

4.2

d)

3.5

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