| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2024 |
| Session | October |
| Marks | 6 |
| Topic | Simultaneous equations |
| Type | Intersection with absolute value |
| Difficulty | Challenging +1.2 This question requires solving a quadratic-absolute value intersection by considering two cases (4x+1 ≥ 0 and 4x+1 < 0), then solving resulting quadratics and checking validity of solutions. While systematic, it demands careful case analysis and algebraic manipulation beyond standard simultaneous equations, making it moderately challenging for Further Maths students. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution1.02l Modulus function: notation, relations, equations and inequalities |
\begin{enumerate}
\item Solve the following simultaneous equations:
\end{enumerate}
$$\begin{aligned}
& y = 4 x ^ { 2 } + 2 x - 5 \\
& y = | 4 x + 1 |
\end{aligned}$$
\hfill \mbox{\textit{SPS SPS FM 2024 Q1 [6]}}