Match the Tables with the Right Equations

Strengthen your function and algebra skills with Match the Tables with the Right Equations! In this activity, you’ll examine input–output tables and use the patterns you find to select the equation that best fits each relationship. You’ll get plenty of practice identifying how values change — a skill that makes linear equations easier and more meaningful.

You’ll begin by studying each table to see how the outputs change as the inputs increase. You’ll compare differences between x-values and y-values to uncover the rule behind the pattern. For example, if every increase of 1 in x shows an increase of 3 in y, you’ll recognize this as a line with a slope of 3. This careful observation helps you connect numerical patterns to algebraic structure.

Next, you’ll match each table to one of the given equations, such as y=2x+1y = 2x + 1y=2x+1, y=3x−4y = 3x - 4y=3x−4, or y=12x+6y = \frac{1}{2}x + 6y=21​x+6. You’ll test your match by substituting values from the table back into the equation to verify accuracy. This step gives you confidence in identifying correct matches and builds your understanding of how equations generate table outputs.