Linear Relations and Polynomials: Core Practice

Harder linear equations, translating a situation into an equation, monomial operations, and pattern rules.

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

What this covers

The questions

  1. Solve for x: 3(2x - 1) = x + 13
  2. Expand: 3x(2x + 5)
  3. A line has slope 3 and y-intercept -2. What is its equation?
  4. Find the slope of the line through (1, 2) and (4, 11).
  5. A relation's table shows: x = 1, y = 5; x = 2, y = 8; x = 3, y = 11; x = 4, y = 14. Which equation matches this relation?
  6. A rental company charges $45 plus $15 per hour. Which equation models the total cost C, in dollars, for h hours?
  7. The first four terms of a pattern are 5, 9, 13, 17. What is the 10th term?
  8. Simplify: (8x² - 12x) / 4x, for x ≠ 0.
  9. A rectangular garden's length is 4 m more than triple its width. If the perimeter is 64 m, what is the width, in metres?

Answer these free