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Progress Quiz Linear Equations

Total questions: 24

Worksheet time: 24mins

Name
Class
Date
1.

Select which ones are the equations. There can be more than one response.

a)

4 + w = 104\ +\ w\ =\ 10

b)

3y + 43y\ +\ 4

c)

x + 7 yx\ +\ 7\ -\ y

d)

8 + 9 = 178\ +\ 9\ =\ 17

2.

 3x + 7 = 16 ,              if x = 33x\ +\ 7\ =\ 16\ ,\ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ x\ =\ 3 
Is this equation true or false?

a)

True

b)

False

3.

 20x10 = 2,            if x=2\frac{20}{x}-10\ =\ 2,\ \ \ \ \ \ \ \ \ \ \ \ if\ x=2  
Is this equation true or false?

a)

True

b)

False

4.

Determine which equation fits this scenario:

The produce of 4 and x is equal to 48.

a)

4 + x = 484\ +\ x\ =\ 48

b)

48 4 = x48\ -\ 4\ =\ x

c)

4×x = 484\times x\ =\ 48

d)

448= x\frac{4}{48}=\ x

5.

Determine which equation fits the scenario:

When d is doubled the result is 30

a)

d × d = 30d\ \times\ d\ =\ 30

b)

d + 20 = 30d\ +\ 20\ =\ 30

c)

30 30 = d30\ -\ 30\ =\ d

d)

d × 2 = 30d\ \times\ 2\ =\ 30

6.

The sum of b and 15 is equal to 22.

a)

b + 15 = 22b\ +\ 15\ =\ 22

b)

b × 15 = 22b\ \times\ 15\ =\ 22

c)

b 15 = 22b\ -\ 15\ =\ 22

d)

b15= 22\frac{b}{15}=\ 22

7.

Ice creams cost $i and doughnuts cost $d each. Four ice creams and three doughnuts cost $22.

a)

i+4 × d +3 = 22i+4\ \times\ d\ +3\ =\ 22

b)

i4 + d3 = 22i4\ +\ d3\ =\ 22

c)

i ×d + 4×3 = 22i\ \times d\ +\ 4\times3\ =\ 22

d)

i3 + d4 = 22i3\ +\ d4\ =\ 22

8.

 a  10 = 7a\ -\ 10\ =\ 7  Solve the equation by inspection:



(a)  

9.

 33 = x ×333\ =\ x\ \times3  Solve the equation by inspection:



(a)  

10.

 m ÷4 = 8 m\ \div4\ =\ 8\   Solve the equation by inspection:



(a)  

11.

 5a + 9 = 295a\ +\ 9\ =\ 29  Solve the equation by inspection:



(a)  

12.

 4x + 14= 35 (subtract 3)  4x\ +\ 14=\ 35\ \left(subtract\ 3\right)\ \   What is the result by applying the given operation to both sides of the equation?

a)

 4x + 14 +3 = 35 + 34x\ +\ 14\ +3\ =\ 35\ +\ 3  

b)

 4x +14 3 = 354x\ +14\ -3\ =\ 35  

c)

 4x + 14 = 35  34x\ +\ 14\ =\ 35\ -\ 3  

d)

 4x + 14 3 = 35  34x\ +\ 14\ -3\ =\ 35\ -\ 3  

13.

 6x + 4 = 60 (divide by 6)6x\ +\ 4\ =\ 60\ \left(divide\ by\ 6\right)  What is the result by applying the given operation to both sides of the equation?

a)

 6x6+4 = 60\frac{6x}{6}+4\ =\ 60  

b)

 6x+ 46 = 60\frac{6x+\ 4}{6}\ =\ 60  

c)

 6x + 46 = 6066x\ +\ \frac{4}{6}\ =\ \frac{60}{6}  

d)

 6x + 46 = 606\frac{6x\ +\ 4}{6}\ =\ \frac{60}{6}  

14.

 5x + 6 = 125x\ +\ 6\ =\ 12 

  5x = 65x\ =\ 6  



What is the operation required to get the first equation to the second equation? You must write the operation and the value in your answer. 



(a)  

15.

 24x = 1824x\ =\ 18  

 4x = 34x\ =\ 3  



What is the operation required to get the first equation to the second equation? You must write the operation and the value in your answer. 



(a)  

16.

 5p = 95p\ =\ 9  

 25p = 4525p\ =\ 45  



What is the operation required to get the first equation to the second equation? You must write the operation and the value in your answer. 



(a)  

17.

 4 x + 3 = 274\ x\ +\ 3\ =\ 27  

Solve the equation algebraically.



(a)  

18.

 p  7 = 29p\ -\ 7\ =\ 29  

Solve the equation algebraically.



(a)  

19.

 z × 13 = 117z\ \times\ 13\ =\ 117  

Solve the equation algebraically.



(a)  

20.

 4k ÷2 = 404k\ \div2\ =\ 40  

Solve the equation algebraically.



(a)  

21.

 8x + 14 = 708x\ +\ 14\ =\ 70  

Solve the equation algebraically.



(a)  

22.

14y = 112

(a)  

23.

 57 = 8n   757\ =\ 8n\ \ -\ 7  

Solve the equation algebraically.



(a)  

24.

 50 = 2 (y +10 ) 50\ =\ 2\ \left(y\ +10\ \right)\   

Solve the equation algebraically.



(a)