wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

1.2 - Identity and No Solution Equations & Inequalities

Total questions: 33

Worksheet time: 33mins

Name
Class
Date
1.

Solve.  Round to the nearest hundredth if necessary. Indicate "identity" or "no solution" if applicable.

2(3x+4)=262\left(3x+4\right)=26  



(a)  

2.

Solve. Round to the nearest hundredth. Indicate "identity" or "no solution" if applicable.
133(4x9)=5613-3\left(4x-9\right)=56  



(a)  

3.

Solve. Round to the nearest hundredth. Indicate "identity" or "no solution" if applicable.
13+3(4x9)=5613+3\left(4x-9\right)=56  


(a)  

4.

Find the perimeter of the rectangle. Do not type spaces between terms.

(a)  

5.

Simplify.  Do not type spaces between terms.
432(7x8)43-2\left(7x-8\right)  




(a)  

6.

Simplify.  Do not type spaces between terms.
432(7x+8)43-2\left(7x+8\right)  




(a)  

7.

Simplify.  Do not type spaces between terms.
43+2(7x8)43+2\left(7x-8\right)  




(a)  

8.

Simplify.  Do not type spaces between terms.
205(3x7)20-5\left(3x-7\right)  




(a)  

9.

Simplify.  Do not type spaces between terms.
20+5(3x7)20+5\left(3x-7\right)  




(a)  

10.

Solve.  Round to the nearest hundredth.
205(3x7)=8620-5\left(3x-7\right)=86  




(a)  

11.

Solve.  Round to the nearest hundredth.
20+5(3x7)=8620+5\left(3x-7\right)=86  




(a)  

12.

Find the perimeter of the rectangle. Do not type spaces between terms.

(a)  

13.

Simplify.  Do not type spaces between terms.

x+10+x+10x+10+x+10  



(a)  

14.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)=12x+74\left(3x+7\right)=12x+7  



(a)  

15.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)>12x+74\left(3x+7\right)>12x+7  



(a)  

16.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)=12x+284\left(3x+7\right)=12x+28  



(a)  

17.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)=4x+284\left(3x+7\right)=4x+28  



(a)  

18.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(3x+7)=5x+194\left(3x+7\right)=5x+19  



(a)  

19.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

8x10=2(4x10)8x-10=2\left(4x-10\right)  



(a)  

20.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

8x10=2(4x5)8x-10=2\left(4x-5\right)  



(a)  

21.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

8x10=2(3x5)8x-10=2\left(3x-5\right)  



(a)  

22.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

8x10=2(3x15)8x-10=2\left(3x-15\right)  



(a)  

23.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(4x9)=8(2x5)4\left(4x-9\right)=8\left(2x-5\right)  



(a)  

24.

Solve. Round to the nearest hundredth, if necessary. Indicate "identity" or "no solution" if applicable.

4(4x9)=8(5x7)4\left(4x-9\right)=8\left(5x-7\right)  



(a)  

25.

Match the following

a)

x=xx=x  

1.

identity

b)

x+1=xx+1=x  

2.

no solution

c)

10x=5x10x=5x  

3.

x=0

d)

10=5x10=5x  

4.

x=2

e)

10=5x10=-5x  

5.

x=-2

26.

What is your answer for #2? Do not type spaces.

(a)  

27.

Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.

17x13+4x>4717x-13+4x>-47

(a)  

28.

Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.

17x>13+4x+4717x>-13+4x+47

(a)  

29.

Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.

23x396x7823x-39\le6x-78

Use <= for "less than or equal to".

(a)  

30.

Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.

23x39+6x7823x\le-39+6x-78

Use <= for "less than or equal to".

(a)  

31.

Simplify or solve. Round to the nearest hundredth, if necessary. Do not type spaces. Indicate "identity" or "no solution" if applicable.

23x39+6x7823x-39+6x\le-78

Use <= for "less than or equal to".

(a)  

32.

Solve. Round to the nearest hundredth, if necessary. Use <= for "less than or equal to". Indicate "identity" or "no solution" if applicable.

10387x103\ge8-7x  

(a)  

33.

Solve. Round to the nearest hundredth, if necessary. Use <= for "less than or equal to". Indicate "identity" or "no solution" if applicable.

103x987x-103x\ge98-7x  

(a)