Algebra Foundations

Review algebra habits that support calculus, including factorising, indices, and rational expressions.

Focus points

✓Simplify expressions without losing sign accuracy.

✓Manipulate powers, roots, and fractional indices.

✓Factorise quadratics and common polynomial structures.

Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Mark each one done as you go — finish them all to claim your chips.

6 revision prompts

Question 1

Simplify

\frac{6 x^{3}}{2 x}

Question 2

Factorise

x^{2} - 9

Question 3

Solve

2 x^{2} - 7 x + 3 = 0

Question 4

Rewrite

\sqrt[3]{x^{5}}

using fractional indices.

Question 5

Simplify

\frac{x + 3}{x + 1} + \frac{x - 1}{x + 1}

Question 6

Expand

(3 x - 2) (x + 5)