Patterns and Relations: Going Further

Two-step equations, writing a rule from a pattern, and telling linear relations from non-linear ones.

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

What this covers

Solve for x: 3x - 5 = 16.
Which value of x satisfies 2(x + 3) = 14?
A number pattern begins 5, 9, 13, 17, ... following the rule: start at 5, add 4 each time. What is the 10th term?
Which equation matches the rule: the term number is multiplied by 3, then increased by 2?
Solve for x: (x / 4) + 6 = 10.
A t-chart shows: when x = 1, y = 5; when x = 2, y = 8; when x = 3, y = 11. What is the rule relating y to x?
Use the table below, showing the number of tiles needed to build each pattern figure. If the pattern continues, how many tiles will figure 6 need?
Which of the following relations is NOT linear?