SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

v1 Algebra, STD2 A1 2009 HSC 25a

Simplify  \(10-3(x+4)\).    (2 marks)

--- 3 WORK AREA LINES (style=lined) ---

Show Answers Only

 \(-3x-2\)

Show Worked Solution
♦ Mean mark 47%
\(10-3(x+4)\) \(=10-3x-12\)
  \(=-3x-2\)

Filed Under: Substitution and Other Equations (Std 2-X) Tagged With: Band 4, smc-5233-5-Other Equations

v1 Algebra, STD2 A1 2015 HSC 2 MC

Which of the following is  \(5m+4y-m-6y\)  in its simplest form?

  1. \(4m+10y\)
  2. \(4m-2y\)
  3. \(6m+10y\)
  4. \(6m-2y\)
Show Answers Only

\(B\)

Show Worked Solution
\(5m+4y-m-6y\) \(=5m-m+4y-6y\)
  \(=4m-2y\)

\(\Rightarrow B\)

Filed Under: Substitution and Other Equations (Std 2-X) Tagged With: Band 3, smc-5233-5-Other Equations

v1 Algebra, STD2 A1 2016 HSC 2 MC

Which of the following equations has  \(x=7\) as the solution?

  1. \(x-7=14\)
  2. \(7-x=14\)
  3. \(2x=14\)
  4. \(\dfrac{x}{2}=14\)
Show Answers Only

\(C\)

Show Worked Solution
\(2x\) \(=14\)
\(x\) \(=\dfrac{14}{2}\)
\(\therefore\ x\) \(=7\)

 
\(\Rightarrow C\)

Filed Under: Substitution and Other Equations (Std 2-X) Tagged With: Band 2, smc-5233-5-Other Equations

v1 Algebra, STD2 A1 2017 HSC 9 MC

What is the value of  \(x\)  in the equation  \(\dfrac{4-x}{7}=2\)?

  1. \(-14\)
  2. \(-10\)
  3. \(10\)
  4. \(14\)
Show Answers Only

\(B\)

Show Worked Solution
\(\dfrac{4-x}{7}\) \(=2\)
\(4-x\) \(=14\)
\(x\) \(=4-14\)
\(\therefore\ x\) \(=-10\)

  
\(\Rightarrow B\)

Filed Under: Substitution and Other Equations (Std 2-X) Tagged With: Band 3, smc-5233-5-Other Equations

v1 Algebra, STD2 A1 2016 HSC 5 MC

Which expression is equivalent to  \(2(7x-3)+5\)?

  1. \(14x-1\)
  2. \(14x-8\)
  3. \(14x-11\)
  4. \(14x+2\)
Show Answers Only

\(A\)

Show Worked Solution

\(2(7x-3)+5\)

\(=14x-6+5\)

\(=14x-1\)  
  

\(\Rightarrow A\)

Filed Under: Substitution and Other Equations (Std 2-X) Tagged With: Band 4, smc-5233-5-Other Equations

Copyright © 2014–2025 SmarterEd.com.au · Log in