Linear Relations and Polynomials: Further Practice

Harder linear equations, expanding a bracket, simplifying a polynomial quotient, and a two-step pattern rule.

8 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. Solve for x: 4x - 7 = 2x + 9
  2. Expand: 2x(3x - 5)
  3. A pattern starts 2, 6, 10, 14 and each term is 4 more than the one before it. What is the 15th term?
  4. Simplify: (10x² - 15x) / 5x, for x ≠ 0
  5. Solve for x: 3(x - 4) = 2(x + 1)
  6. A pattern rule is "multiply by 3, then add 1". Starting at 2, what is the 4th term, counting the starting value as the 1st term?
  7. Solve for x: 5x + 3 = 2x + 18
  8. A rectangle's length is 3 m more than its width w. If the perimeter is 38 m, what is the width, in metres?

Answer these free