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Home > Mathematics > General Mathematics > HSC Course > Algebraic Modelling > AM3: Algebraic skills and techniques > Quick quiz: A sample of multiple choice questions for this topic.

AM3

1. Solve: 4x - 8 = 24
    
   • x = 8
   • x = 14
   • x = 4
   answer
   
    
2. Solve:
   
   • h = 384
   • h = 1.5
   • h = 18
   answer
   
    
3. Solve 4x² = 64
    
   • x = ±128
   • x = ±16
   • x = ±4
   answer
   
    
4. Simplify: 4x² – 2x + 3x+ 5x²
    
   • 9x² + x
   • 9x⁴ + x
   • -x² + x
   answer
   
    
5. -32a²b/-8ab²
    
   • -4a/b
   • 4ab
   • 4a/b
   answer
   
    
6. 
7. Make y the subject of this equation: ^(y-2)/₃ = 4x
    
   • y = 3(4x + 2)
   • y = 12x - 2
   • y = 12x + 24
   answer
   
    
8. Make a the subject of this equation:
   
   • 
     
   • 
     
   • 
     
   answer
   
    
9. The distance in km that an observer can see the horizon from the height of h metres is given by
   
   How high (to the nearest metre) would you need to be to see a distance of 50km.
    
   • 127 km
   • 25 km (correct to the nearest metre)
   • 195 km (correct to the nearest metre)
   answer
   
    
10. Use estimation and refinement to solve the following: (correct to 1dp)
    2^x="11.2"
     
    • x="3.5" (correct to 1 decimal place)
    • x="5.6" (correct to 1 decimal place)
    • x="22.4" (correct to 1 decimal place)
    answer
    
     
11. Express this number in scientific notation 14 800 000
     
    • 1.48 x 10⁷
    • 14.8 x 10⁶
    • 1.48 x 10^-7
    answer
    
     

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1. x = 8
    
2. h = 384
    
3. x = ±4
    
4. 9x² + x
    
5. 4a/b
    
6. y = 12x + 2
    
7. 
   
    
8. 195 km (correct to the nearest metre)
    
9. x="3.5" (correct to 1 decimal place)
    
10. 1.48 x 10⁷