Algebra 1b: Mastery Questions
Guidance Notes - To answer each question, click on the letter that corresponds to the correct answer. You then need to click the 'Check' button to see if you are correct. If your answer is incorrect, you will be given a hint on how to get the correct answer. You then need to click the 'Try again' button to attempt the question once more.
1. Simplify this expression by collecting like terms

c + c + c

  A  
  B  
  C  
  D  
3c
3 × c
c3
c3
     
2. Simplify this expression by collecting like terms

5e + 7e − 4e

  A  
  B  
  C  
  D  
11e − 4e
16e
8e
8
    
3. Simplify 5 × 3a × 4b

  A  
  B  
  C  
  D  
60ab
15a + 4b
15a + 20b
8ab
     
4. In the expression 4ab + 5a + 3ba + 7b + 9, the coefficient of b is

  A  
  B  
  C  
  D  
12
10
3
7
     
5. Simplify the following by collecting like terms

5a − 4b + 2a + 4b − 8a

  A     B     C     D  
a + 0b
a − 0b
0 − a
−a
    
6. Simplify the following by collecting like terms

8xy − 4y + 3y − 5yx + 4x

  A  
  B  
  C  
  D  
8xy
3xy + 4x − y
3xy + 4x + y
8xy − 5yx − y + 4x
    
7. If n = 4, what is the value of 5n − 3?

  A  
  B  
  C  
  D  
6
17
20
23
    
8. If b = 4 and c = 2, what is the value of 2b + 4c + 3bc?

  A  
  B  
  C  
  D  
32
36
40
84
    
9. The formula for speed is: Speed = distancetime
A snail travels 3 metres in 12 hours. What is the speed of the snail?

  A  
  B  
  C  
  D  
4 m/hr
3 m/hr
36 m/hr
0.25 m/hr
    
10. When taking my dog for a walk, we first walk to the park and then walk three times around the field. We then walk back home. If the distance to the park is x metres and the distance around the field is y metres, how far do we walk?

  A  
  B  
  C  
  D  
x + y
x + 3y
2x + 3y
6xy
    
11. A deck chair company has 500 deck chairs at a local beach. At lunchtime on a particular day, d are damaged and can't be used and h are already on hire. How many deck chairs are still available for hire?

  A  
  B  
  C  
  D  
500 − d
500 − h
500 − d + h
500 − d − h
    
12. Look at this number puzzle. What goes in the shaded circle in the 4th diagram?

  A  
  B  
  C  
  D  
n + 3
2n + 3
n + 6
3n
    
For Questions 13, 14 and 15, you will need to answer them using paper and pencil and then click the 'Check' button to see if you have done them correctly.
13. Look at this number puzzle.

What expressions go in the 4th diagram?

14. Look at the cards below.

If p = 6, which of the cards has a value closest to 0?

15. A formula you will meet later in Science is v = u + at.

Calculate the value of v if:

a) u = 0, a = 10 and t = 3
b) u = 5, a = 8 and t = 1
c) u = −5, a = 10 and t = 5    

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