Building a Table of Values

≈ 20 min

A rule like $y = 2x + 1$ links each input $x$ to an output $y$ . To build a table of values, choose some $x$ values and work out $y$ for each by substitution:

$x$	$-1$	$0$	$1$	$2$
$y$	$-1$	$1$	$3$	$5$

For example, at $x = 2$ : $y = 2(2) + 1 = 5$ .

Worked example. For $y = 3x - 2$ , find $y$ when $x = 4$ .

y = 3(4) - 2 = 12 - 2 = 10

For the rule $y = 2x + 1$ , find $y$ when $x = 3$ .

For the rule $y = 3x - 2$ , find $y$ when $x = 0$ .

For the rule $y = 5 - x$ , find $y$ when $x = 8$ .

Which pair $(x, y)$ satisfies the rule $y = x + 4$ ?

$(1, 5)$

$(2, 5)$

$(0, 0)$

$(3, 3)$