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Worksheets

Number of Solutions Practice - B

Total questions: 42

Worksheet time: 1hrs 24mins

Name
Class
Date
1.
What is the definition of infinite solutions?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
2.
What is the definition of no solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
3.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
4.
What is the solution to this equation?
a)

One Solution

b)

No Solution

c)

Infinite Solutions

d)

x = 5

e)

x = -3

5.

Solve: 14 - 2(3p + 1) = 6(4 + p)

Enter the number, no solution or identity.

(a)  

6.

Solve: 8z - 22 = 3(3z + 11) - z

Enter the number, no solution or identity.

(a)  

7.

Solve: 12(x + 3) = 4(2x + 9) + 4x

Enter the number, no solution or identity.

(a)  

8.

Solve: 6x + 9 - x = 3x + 9 + x

Enter the number, no solution or identity.

(a)  

9.

Solve: 3(x + 1) - 5 = 3x - 2

Enter the number, no solution or identity.

(a)  

10.

Solve: 3(x - 2) + 1 = 3x - 5

Enter the number, no solution or identity.

(a)  

11.

Solve: 13 - 2x + 2 = 2x - 13

Enter the number, no solution or identity.

(a)  

12.

Solve: 3x + 15 = 3(x + 15)

Enter the number, no solution or identity.

(a)  

13.

Solve: 3r - 5 = 2r

Enter the number, no solution or identity.

(a)  

14.

Solve: 3x - 8 = 3(x - 4) + 1

Enter the number, no solution or identity.

(a)  

15.

Solve: 3x - 7 = 3(x - 3) + 2

Enter the number, no solution or identity.

(a)  

16.

Solve: 5x + 6 = 2 + 3x

Enter the number, no solution or identity.

(a)  

17.

Solve: 2x + 1 = 2x - 1

Enter the number, no solution or identity.

(a)  

18.

Solve: 3x + 15 = 3(x + 5)

Enter the number, no solution or identity.

(a)  

19.

Solve: 3(3e + 7) - 7(e + 3) = 5(e - 2) - 2(e + 1)

Enter the number, no solution or identity.

(a)  

20.

Solve: 2(15c + 8) = 9(2c + 4) - (3c + 20)

Enter the number, no solution or identity.

(a)  

21.

Solve: -2(3m + 6) = -3(4 +2m)

Enter the number, no solution or identity.

(a)  

22.

Solve: 2(3m + 6) = 3(3 +2m)

Enter the number, no solution or identity.

(a)  

23.

Solve: 5m - 9 = 8(m + 4) - 3(m + 10)

Enter the number, no solution or identity.

(a)  

24.

Solve: -7w + 4 = -3(w + 4) - 2(w + 1)

Enter the number, no solution or identity.

(a)  

25.

Solve: 3h + 5 = 2(h + 3) - (-h + 1)

Enter the number, no solution or identity.

(a)  

26.

Solve: 7x + 3 = 5(2x + 5) - (3x + 22)

Enter the number, no solution or identity.

(a)  

27.

Solve: 6x - 18 = 4(2x - 3) - (2x + 6)

Enter the number, no solution or identity.

(a)  

28.

Solve: 5x + 4 = 3(2x - 5) - (x + 5)

Enter the number, no solution or identity.

(a)  

29.

Solve: -3(x + 6) = -3(2x + 4)

Enter the number, no solution or identity.

(a)  

30.

Solve: -5(2x - 4) = 2(10 - 5x)

Enter the number, no solution or identity.

(a)  

31.

Solve: -4(3x + 2) = 3(-4x + 5)

Enter the number, no solution or identity.

(a)  

32.

Solve: 14 - 2(3p + 1) = 6(4 + p)

Enter the number, no solution or identity.

(a)  

33.

Solve: 8(1 + 5x) + 5 = 13 + 5x

Enter the number, no solution or identity.

(a)  

34.

Solve: 8(4k − 4) = −5k − 32

Enter the number, no solution or identity.

(a)  

35.

Solve: −8(1 + 7n) = −8 + 5n

Enter the number, no solution or identity.

(a)  

36.

Solve: −6(b + 3) + 6b = −6(−4b + 3)

Enter the number, no solution or identity.

(a)  

37.

Solve: −5(−4r − 6) = 5(6 − r)

Enter the number, no solution or identity.

(a)  

38.

Solve: 3n − 2(−2 − 7n) = 4(1 − 8n)

Enter the number, no solution or identity.

(a)  

39.

Solve: 6(1 − 4r) + 3r = −3(3r − 2) − 6r

Enter the number, no solution or identity.

(a)  

40.

Solve: −1 + 3(x + 2) = 5(1 + 8x)

Enter the number, no solution or identity.

(a)  

41.

Solve: 1 − 3x = 3x + 1

Enter the number, no solution or identity.

(a)  

42.

Solve: 2(−6m − 3) = 6(5m − 1)

Enter the number, no solution or identity.

(a)