Math
Not startedAlgebra
Analyse, solve and create linear equations, inequalities and systems using multiple techniques.
Skill/knowledge testing points
Linear equations in one variable5 original questions
Linear equations in two variables3 original questions
Linear functions5 original questions
Systems of two linear equations in two variables7 original questions
Linear inequalities in one or two variables4 original questions
Domain drill
24 original questions in this domain (8 easier, 8 mixed, 8 harder).
Sample question
4x + 3y = 26
2x − y = 8
The solution to the given system of equations is (x, y). What is the value of 6x + 2y ?
2x − y = 8
The solution to the given system of equations is (x, y). What is the value of 6x + 2y ?
Show answer and explanation
34. Adding the two equations gives (4x + 2x) + (3y − y) = 26 + 8, so 6x + 2y = 34. (Solving fully also works: y = 2x − 8, so 4x + 3(2x − 8) = 26, x = 5 and y = 2, and 6(5) + 2(2) = 34.) The values 5 and 2 are x and y themselves, not 6x + 2y.