1 Create expressions, equations, and formulas, such as expressing the product of two consecutive even numbers, including the formation of simultaneous equations. 2 Solve linear equations with one variable, for example: 3x + 4 = 10 and 5 - 2x = 3(x + 7). 3 Solve fractional equations that include numerical and algebraic denominators, such as x/2 = 4 and (2x + 1)/3 + x/2 = 1. 4 Solve simultaneous linear equations with two variables. 5 Solve simultaneous equations that include one linear and one non-linear equation, with powers no greater than two. 6 Solve quadratic equations through factorization, completing the square, and using the quadratic formula, with the expectation of providing solutions in surd form. The quadratic formula is provided in the List of formulas. 7 Rearrange formulas to make a specific variable the subject, including cases where the subject appears multiple times or involves powers or roots.

Quick explanation

1 Create expressions, equations, and formulas, such as expressing the product of two consecutive even numbers, including the formation of simultaneous equations. 2 Solve linear equations with one variable, for example: 3x + 4 = 10 and 5 - 2x = 3(x + 7). 3 Solve fractional equations that include numerical and algebraic denominators, such as x/2 = 4 and (2x + 1)/3 + x/2 = 1. 4 Solve simultaneous linear equations with two variables. 5 Solve simultaneous equations that include one linear and one non-linear equation, with powers no greater than two. 6 Solve quadratic equations through factorization, completing the square, and using the quadratic formula, with the expectation of providing solutions in surd form. The quadratic formula is provided in the List of formulas. 7 Rearrange formulas to make a specific variable the subject, including cases where the subject appears multiple times or involves powers or roots

• This point belongs to Equations, especially Equations outcomes.
• You need to be able to 1 Create expressions, equations, and formulas, such as expressing the product of two consecutive even numbers, including the formation of simultaneous equations. 2 Solve linear equations with one variable, for example: 3x + 4 = 10 and 5 - 2x = 3(x + 7). 3 Solve fractional equations that include numerical and algebraic denominators, such as x/2 = 4 and (2x + 1)/3 + x/2 = 1. 4 Solve simultaneous linear equations with two variables. 5 Solve simultaneous equations that include one linear and one non-linear equation, with powers no greater than two. 6 Solve quadratic equations through factorization, completing the square, and using the quadratic formula, with the expectation of providing solutions in surd form. The quadratic formula is provided in the List of formulas. 7 Rearrange formulas to make a specific variable the subject, including cases where the subject appears multiple times or involves powers or roots.
• The key ideas to know are Construct, Determine, and Show.
• Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.