Practice — what type is this question? (Algebra Equations Inequalities)

1.1.1 Solve for x: x² + 5x − 6 = 0

Source: DBE Mathematics Paper 1, November 2019, Question 1.1.1

1.2.1 Given: a + 64/a = 16 Solve for a. 1.2.2 Hence, solve for x: 2ˣ + 2⁽⁶⁻ˣ⁾ = 16

Source: DBE Mathematics Paper 1, May/June 2022, Question 1.2

1.1.4 Solve for x: (√(√32 + x))(√(√32 − x)) = x

Source: DBE Mathematics Paper 1, November 2019, Question 1.1.4

1.2 Solve simultaneously for x and y: y + x = 12 and xy = 14 − 3x

Source: DBE Mathematics Paper 1, November 2019, Question 1.2

6.4 The diagram shows the graph of f(x) = (x + 1)(x − 2)(x − 4). Use the graph to determine the values of x for which f(x) ≤ 0.

Practice question — not sourced from a past paper.

The graphs of f(x) = x² − 2x − 3 and h(x) = x + k are given. 6.6 Determine the value(s) of k for which f and h will NOT intersect.

Source: DBE Mathematics Paper 1, November 2018, Question 6.6