Table of Values - Examples, Exercises and Solutions

A value table is the "preparatory work" that we are often asked to do before producing a graphical representation. Therefore, it is an inseparable part of the subject of graphs in general and the topic of functions in particular.

What is a Value Table?

A value table is actually a database, on which a discrete or continuous graph is based.
The data table lists the corresponding value of $Y$ for each $X$.
The value table allows you to project and draw the graph conveniently and efficiently.
Below is an example of a value table for the function $Y=X+2$

Based on this value table, the following linear function can be plotted:

Examples with solutions for Table of Values

Exercise #1

Calculate y given that $x=2$ and $y=x$.

Step-by-Step Solution

We are given the equation y=x

We are also given the value of x,

x=2

Therefore, we will substitute the given value into the equation

y=2

And that's the solution!

$2$

Exercise #2

Find a y when x=2

$y=\frac{2}{5}x+2$

Step-by-Step Solution

In this exercise, we are given the value of X, so we will substitute it into the formula.

It's important to remember that between an unknown and a number there is a multiplication sign, therefore:

y=2/5*(2)+2

y=4/5+2

Let's convert to a decimal fraction:

y=0.8+2
y=2.8

And that's the solution!

$2.8$

Exercise #3

Find a y when $x=2$

$y=5x$

10

Exercise #4

Find a y when x=2

$y=\frac{1}{2}x$

Video Solution

$1$

Exercise #5

Find a y when x=2

$y=x-8$

Video Solution

$-6$

Exercise #6

Calculate y given that $X=2$ and $y=0.8x$.

1.6

Exercise #7

Find a y when x=2

$y=8x+1$

17

Exercise #8

Find a $y$ when x=2

$y=30x-6$

54

Exercise #9

Find a y when x=2

$y=2+6x$

14

Exercise #10

Find a y when x=2

$y=5.6x-2.1$

9.1

Exercise #11

Find a y when x=2

$y=18(x-2)$

Video Solution

$0$

Exercise #12

Calculate y given that $x=2$ and $y=4(2-6x)$.

Video Solution

$-40$