Foundation June 2024 Paper 1 Q17
17 Solve \(\quad 2(4x - 5) = 18\) (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 3.5 | M1 | for correct expansion of brackets, ie \(8x - 10\) or dividing throughout by 2 as a first step to solve equation, eg \(4x - 5 = 9\) |
| M1 | for isolating terms in \(x\), eg \(8x = 18 + 10\) or \(4x = 9 + 5\) | |
| A1 | for 3.5 or \(3\dfrac{1}{2}\) oe or \(\dfrac{7}{2}\) oe |
Additional guidance
For M marks step must be carried out not just intention shown.
For example, if you see\[\begin{array}{c} 2(4x - 5) = 18 \\ \div 2 \qquad\qquad \div 2 \end{array}\]Award M1 for:\[4x - 5 = k \quad \text{with } k \ne 18, 36\]
ft their equation of the form \(ax \pm b = c\)
For example, if you see\[\begin{array}{c} 8x - 10 = 18 \\ +10 \qquad\qquad +10 \end{array}\]Award M1 for:\[8x \quad = k \quad \text{with } k \ne 8, 18\]