Solving Equations with Functions (Differentiated Questions)

A set of differentiated questions on solving equations with functions. Students will need prior knowledge of solving linear and quadratic equations, as well as substituting expressions into a function.

There are three levels of difficulty:

• mild questions, such as: f(x) = 5x + 1, solve f(x) = 2


• spicy questions, such as: f(x) = 5x + 1, solve f(x + 1) = 2


• extra hot questions, such as: f(x) = 5x + 1, g(x) = 2x, solve f(x + 1) = g(3x)

The resource includes a 'check-in' question. This can be attempted on mini-whiteboards to give you and the students an idea of how well they understand the topic. The feedback from the question will help students to choose which set of questions to answer, and will tell you who needs extra support.

Full solutions are included, making it easy for you or your students to mark.