radicals

1. DIRECT AND
INVERSE
VARIATION

2. OBJECTIVE/S
1. Illustrates situations that involve direct
and inverse variation.
2. Translate into variation statement a
relationship between two quantities
given by table of values, mathematical
equation and by graphing.

6. a.Table of Values
Time (t)
(km/hr)
½
hour
1
hour
2
hours
3
hours
4
hours
Distance
(d)
30
km
60km 120
km
180
km
240
km

7. a.Table of Values
Time (t)
(km/hr)
½
hour
1
hour
2
hours
3
hours
4
hours
Distance
(d)
30
km
60km 120
km
180
km
240
km
b. Mathematical Equation

9. S_MPL_ST F_RM 3. Radicals
must be in
________________ when
determining whether they are
similar or dissimilar.
SIMPLEST FORM

10. The grade 9 students under regular section
of BCNHS were instructed to go home once
they were dismissed at 3:00 in the afternoon.
Student A don’t want to go home immediately
so he stayed beyond 3:00 in the afternoon. He
reasons that he doesn’t want to go home after
the class because he has friends in other
sections whose class is until 4 in the afternoon
and just like to be with them going home.
Do you agree? Is partial compliance with the
rule better than no compliance at all?

11. Rules in Adding and Subtracting
Radicals
• To add or subtract similar
radicals, add or subtract their
coefficients then copy the common
radical.

12. • To add or subtract radicals,
simplify first those which are not in
simplest form, then combine
radicals which are similar and
indicate as addition or subtraction
those radicals which are dissimilar.

15. Find the perimeter (P) of a
triangular field if the sides
measures 𝟏𝟎𝟎 𝟑, 𝟖 𝟐𝟕, 𝟐 𝟐𝟒𝟑.
𝑷 = 𝟏𝟎𝟎 𝟑 + 𝟖 𝟐𝟕 + 𝟐 𝟐𝟒𝟑
𝑷 = 𝟏𝟎𝟎 𝟑 + 𝟖 𝟗 ∙ 𝟑 + 𝟐 𝟖𝟏 ∙ 𝟑
𝑷 = 𝟏𝟎𝟎 𝟑 + (𝟖 ∙ 𝟑) 𝟑 + (𝟐 ∙ 𝟗) 𝟑
𝑷 = 𝟏𝟎𝟎 𝟑 + 𝟐𝟒 𝟑 + 𝟏𝟖 𝟑
𝑷 = 𝟏𝟒𝟐 𝟑 𝒑𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓 𝒐𝒇 𝒂 𝒕𝒓𝒊𝒂𝒏𝒈𝒖𝒍𝒂𝒓 𝒇𝒊𝒆𝒍𝒅

17. Complete the statement below. Choose your answer from
the box.
To add or subtract radicals,
_______1______ first those which are not in
simplest form, then _______2______
radicals which are _______3_______ and
indicate as addition or subtraction those
radicals which are_______4______.
simplify
combine
similar
dissimilar

18. Assignment
Perform the indicated operation(s).