What are the assessment topics related to mathematics?

Steps to Solve

1. Understanding Algorithms in Mathematics

   Begin by identifying and reviewing algorithms for substituting values into multi-step functions. This usually involves evaluating expressions step by step.

2. Solving Linear Inequalities

   To solve linear inequalities, isolate the variable on one side of the inequality. For example, if you have $2x + 3 < 7$, subtract 3 from both sides to get $2x < 4$, and then divide by 2 to find $x < 2$. Displaying the solution on a number line involves marking the value where the inequality holds true.

3. Working with Algebraic Fractions

   When solving equations involving algebraic fractions, ensure you have a common denominator. For example, to solve $\frac{1}{x} + \frac{2}{x} = 3$, combine to get $\frac{3}{x} = 3$. Cross-multiply to solve for $x$.

4. Solving Quadratic Equations

   Quadratic equations can be solved using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, or by factoring. Graphically, plot the equation and identify the x-intercepts.

5. Simultaneous Equations

   Simultaneous equations can be solved either algebraically (e.g., substitution or elimination methods) or graphically by finding points where the lines intersect.

6. Sketching Quadratic Equations

   To sketch or identify a quadratic equation using its roots, use the roots (x-intercepts) to plot on a coordinate plane. For the equation $y = a(x - r_1)(x - r_2)$, where $r_1$ and $r_2$ are the roots.