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 Y for each X 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 Y=X+2

Image -- an example of a value table for the function Y = X + 21

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

Practice Table of Values

Examples with solutions for Table of Values

Exercise #1

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

Video Solution

Step-by-Step Solution

We are given the equation y=x

We are also given the value of x, 

x=2

Therefore, we will insert the given value into the equation

y=2

And that's the solution!

Answer

2 2

Exercise #2

Find a y when x=2

y=25x+2 y=\frac{2}{5}x+2

Video Solution

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!

Answer

2.8 2.8

Exercise #3

Find a y when x=2 x=2

y=5x y=5x

Video Solution

Answer

10

Exercise #4

Find a y when x=2

y=12x y=\frac{1}{2}x

Video Solution

Answer

1 1

Exercise #5

Find a y when x=2

y=x8 y=x-8

Video Solution

Answer

6 -6

Exercise #6

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

Video Solution

Answer

1.6

Exercise #7

Find a y y when x=2

y=30x6 y=30x-6

Video Solution

Answer

54

Exercise #8

Find a y when x=2

y=8x+1 y=8x+1

Video Solution

Answer

17

Exercise #9

Calculate y given that x=2 x=2 and y=4(26x) y=4(2-6x) .

Video Solution

Answer

40 -40

Exercise #10

Find a y when x=2

y=18(x2) y=18(x-2)

Video Solution

Answer

0 0

Exercise #11

Find a y when x=2

y=5.6x2.1 y=5.6x-2.1

Video Solution

Answer

9.1

Exercise #12

Find a y when x=2

y=2+6x y=2+6x

Video Solution

Answer

14

Topics learned in later sections

  1. Numerical Value