Grade 12 – Mathematics – Paper 1 – Algebra, equations and inequalities

#134 Using the quadratic formula

#307 Solving equations with trinomials and surds

#308 Solving for x when it's an exponent with a surd

#309 Solving a quadratic inequality

#310 Using the discriminant to solve for d (equal roots)

#311 Simplify an expression with variables in exponents

#312 Simplify an expression with so many surds

#313 Real and rational numbers

#314 Problem solving with exponents

#326 Using the discriminant to solve for k (equal roots)

#327 Substitution with surds and fractions

#328 Problem solving with exponents

#337 Solving a quadratic inequality

#349 Solving simultaneous equations

#350 Simplifying an expression with variables in the exponents

#351 Solving an equation with a fraction as the exponent

#352 Solving an algebraic equation using k substitution

#441 Exponential equation shortcut

#442 Solving for x in an inequality with a variable exponent

#445 Solving for x in terms of p using logs

#446 Solving for x in terms of p by rooting both sides

#361 Quadratic equation using trinomial factorisation

#362 Using the quadratic formula

#363 Solving a quadratic inequality

#364 Solving for x when there are surds in surds

#365 Solving simultaneously for x and y

#366 Problem solving using product of prime factors

#414 Solving for x by completing the square

#415 Solving for x by squaring both sides

#416 A special case of the nature of roots (discriminant equals 0)

#372 Solving a quadratic equation with a trinomial

#373 Using the quadratic formula, but FOIL first

#374 Solving a quadratic inequality by pulling out a highest common factor

#375 Solving an exponential equation with smart use of DOTS

#376 Solving simultaneously for x and y

#377 Solving volume of box using area

#280 Factorising using DOTS, trinomials and grouping

#281 Expanding an expression to aid subsitution

#282 Solving for m in an inequality

#283 Solving simultaneous equations

#286 Solving different types of equations

#287 Simplifying algebraic expressions

#291 Factorising using double DOTS

#292 Factorising using grouping

#293 Simplifying algebraic expressions with fractions

#294 Simplifying algebraic expressions with exponents

#296 Solving for x by factorising a trinomial

#297 Solving for x when its an exponent

#298 Solving for x in an inequality

#299 Problem solving – build your own equation