SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Equations, SM-Bank 006

Jace is paid \(x\) dollars per hour. Last week he worked \(15\) hours and he earned $300.

Write an equation describing his wages for the week.  (2 marks)

Show Answers Only

\(15x=300\)

Show Worked Solution

\(15x=300\)

Equations, SM-Bank 004

Write an equation for:

  1. the difference between \(x\) and \(3\) is \(4\). (1 mark)

  2. the product of \(m\) and \(7\) is \(21\). (1 mark)

  3. the sum of \(p\) and \(3\) is doubled and the answer is 8. (1 mark)

  4. half of \(z\) is added to 6 and the result is 12. (1 mark)

Show Answers Only

a.    \(x-3=4\)

b.    \(7m=21\)

c.    \(2(p+3)=8\)

d.    \(\dfrac{z}{2}+6=12\)

Show Worked Solution

a.    \(x-3=4\)

b.    \(7m=21\)

c.    \(2(p+3)=8\)

d.    \(\dfrac{z}{2}+6=12\)

Equations, SM-Bank 002 MC

Which of the following equations is not correct?

  1. \(3+2+7=2\times 6\)
  2. \(x+1=2x-1,\ \text{when }x=2\)
  3. \(18-3\times 4=3\times 2\)
  4. \(19-13=3^2\)
Show Answers Only

\(D\)

Show Worked Solution

\(\text{Checking each option:}\)

\(\text{Option A:}\longrightarrow\) \(3+2+7=2\times 6\ \ \checkmark\)
\(\text{Option B:}\longrightarrow\) \(2+1=2\times 2 -1\ \ \checkmark\)
\(\text{Option C:}\longrightarrow\) \(18-3\times 4=3\times 2\ \ \checkmark\)
\(\text{Option D:}\longrightarrow\) \(19-13\ne 3^2\)

 
\(\Rightarrow D\)