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Worksheets

Number of Solutions Error Analysis

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

9 + 3(n + 2) = 3n - 11

9 + 3n + 6 = 3n - 11

What is the next step?

a)

Add 3n to both sides

b)

Add 9 to both sides

c)

Subtract 11 to both sides

d)

Add 9 and 6

2.

How many solutions does the equation below have?

5x - 10 = 5(x - 2)

a)

No Solution

b)

One solution

c)

Two Solutions

d)

Infinitely Many Solutions

3.

How many solutions does the equation below have?

2(3a +4) = 3(2a - 1)

a)

Infinitely Many Solutions

b)

No Solution

c)

Four Solutions

d)

One Solution

4.

Is the solution below correct?

5d = 2d - 18

-2d -2d

3d = -18

3_____3

d = 6

a)

Yes

b)

No, the correct answer is d = -21

c)

No, the correct answer is d = -15

d)

No, the correct answer is d = -3

e)

No, the correct answer is d = -54

5.

Is the solution below correct?

-6z + 13 = 7z

+6z______ +6z

13 = 13z

13___13

z = 1

a)

Yes

b)

No, the correct answer is 0

c)

No, the correct answer is 13

d)

No, the correct answer is IMS

e)

No, the correct answer is No Solution

6.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
7.

Find the error



a)

There is no error

b)

They should have subtracted 3 to both sides

c)

They should have subtracted 2x to both sides

d)

They should have divided 7 to both sides

e)

The answer should be 6/7

8.

5 + 2(n + 1) = 2n

Bill says the first step is the add 5 + 2 to get

7(n + 1) = 2n

a)

Bill is correct

b)

Bill is wrong. He should have subtracted 5 to both sides first.

c)

Bill wrong. He should have distributed the 2 first.

d)

Bill is wrong. He should have divided 2 to both sides first.

9.

After simplifying an equation where the variables cancel out, you get a true statement. How many solutions are there?

a)

Infinitely Many Solutions

b)

One Solution

c)

No Solution

d)

Two Solutions

10.

How many solutions does the equation below have?

7x + 5 = 9x - 3

a)

No Solution

b)

One Solution

c)

Four Solutions

d)

Infinitely Many Solutions

11.

After solving the equation you get 23 = 23

What is the answer to the equation?

a)

No Solution

b)

(23,23)

c)

23

d)

Infinitely Many Solutions

12.

After solving the equation you get 1 = 2

What is the answer to the equation?

a)

No Solution

b)

(1,2)

c)

0

d)

Infinitely Many Solutions

13.

After solving the equation you get a false statement.

What is the answer to the equation?

a)

No Solution

b)

Undefined

c)

0

d)

Infinitely Many Solutions

14.

Which step has the error?

Problem: 6(3a + 1) - 30 = -3(4a + 4)

Step 1: 18a + 6 - 30 = -12a - 12

Step 2: 18a - 24 = -12a - 12

Step 3: -12a______-12a___

Step 4: 6a - 24 = -12

Step 5: ___+24__+24

Step 6: 6a = 12

Step 7: 6____6

Answer: a = 2

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

Step 5

15.

Which step has the error?

Problem: -5x - 7 = -5(x - 2) + 3

Step 1: -5x - 7 = -5x - 10 + 3

Step 2: -5x - 7 = -5x - 7

Step 3: +5x___+5x

Step 4: -7 = -7

Answer: Infinitely Many Solutions

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

Answer