2. 1. Joshua currently lives in Surigao City, but he begins a new job in Butuan City.
Every Monday, he drives his new car 123 kilometers from his residence to the
office and spends the week in a company apartment. He drives back home every
Friday. After 4 weeks of this routinary activity, his car’s odometer shows that he
has travelled 1134 kilometers since he bought the car. Write a linear model which
gives the distance y covered by the car as a function of x number of weeks since
he used the car.
A. y = 246x + 150
B. B. y = 123x + 510
C. C. y = 246x + 510
D. D. y = 123x + 150
4. Given f(x) = 2x 2 - 5x – 8 and
g(x) = 10 x + 7. Find (f + g) (x).
A. 2 x 2 + 5 x + 15
B. B. 2 x 2 - 5 x – 1
C. C. 2 x 2 + 5 x – 1
5. Three kilos of squid can be
purchased at the market for PhP
180. What will be the cost of 15
kilos of squid?
A. PhP 900
B. PhP 450
C. PhP 2700
D. PhP 1350
6.
7. Given f(x) = 2x 2 - 5x – 8 and
g(x) = 10 x + 7. Find (f + g) (x).
A. 2 x 2 + 5 x + 15
B. B. 2 x 2 - 5 x – 1
C. C. 2 x 2 + 5 x – 1
9. Tablet mockup
You can replace the image on the
screen with your own work. Just
right-click on it and select “Replace
image”
10. Introduction
You can give a brief description of the topic you want to
talk about here. For example, if you want to talk about
Mercury, you can say that it’s the smallest planet in the
entire Solar System
11. — Someone Famous
“This is a quote, words full of wisdom
that someone important said and can
make the reader get inspired.”
13. Mercury is the closest planet to the Sun and the
smallest one in the Solar System—it’s only a bit
larger than the Moon
Systems of linear
equations
14. Despite being red, Mars is
a cold place
Definition of concepts
Venus
Venus is the second
planet from the Sun
Jupiter
It’s the biggest planet in
the Solar System
Mars Saturn
Saturn is a gas giant and
has several rings
18. Maybe you need six columns
Saturn
It’s a gas giant and
has several rings
Mercury
It’s the closest planet
to the Sun
Jupiter
It’s the biggest planet
of them all
Mars
Mars is actually a very
cold place
Venus
Venus is the second
planet from the Sun
Neptune
It’s the farthest planet
from the Sun
20. Understand the substitution method
2x + y = 7
The substitution method consists of isolating one of the two unknowns in one equation
to replace it in the other equation.
Example:
3x - y = 1
{
Process & Solution:
● Solve Equation 1 for y: y = 7 - 2x
● Substitute y in Equation 2: 3x - (7 - 2x) = 1
● Simplify and solve for x: 5x = 8 ⇒ x = 8/5
● Substitute x back into Equation 1: y = 19/5
● Solution: x = 8/5, y = 19/5
21. Substitution method
1. We isolate an unknown
2. We substitute the unknown in the other equation
4 + x = 2y
1
x = 2y - 4
2x - y = 1
2
2 · (2y - 4) - y =
1
4y - 8 - y = 1
22. Substitution method
3. We solve the equation obtained
4. We calculate the other unknown by substituting
4y - 8 - y = 1
3y - 8 = 1
X = 2y - 4
x = 2y - 4
X = 2 · 3 - 4
3y = 9
y = 9/3 = 3 X = 6 - 4 = 2
3 4
x = 2
y = 3
{
Solution:
23. Venus
Venus is the second
planet from the Sun
Mars
Despite being red, Mars is
a cold place
3 Important points of mathematics
Saturn
Saturn is a gas giant and
has several rings
24. ax + b = 0
Equation of the first degree or linear (where b is a constant)
ax2 +bx + c = 0
Quadratic or quadratic equations (where c is a constant)
ax3 + bx2 + cx + d = 0
Third degree equations (where d is a constant)
26. This is a map
Venus
Venus is the second planet
from the Sun
Mercury
It’s the biggest planet in the
Solar System
Mars
Despite being red, Mars is
a cold place
27. Let’s practice
Mercury is the closest planet to the
Sun and the smallest one in the
Solar System—it’s only a bit larger
than the Moon
28. Steps for math
Step 01 Step 02 Step 03 Step 04
Despite being
red, Mars is a
cold place
Venus is the
second planet
from the Sun
It’s the biggest
planet in the
Solar System
Saturn is a gas
giant and has
several rings
29. Math Graph
Follow the link in the graph to modify its data and then paste
the new one here. For more info, click here
Venus is the second
planet from the Sun
Despite being red, Mars is
a cold place
45%
55%
Venus
Mars
30. Math diagram
It’s the biggest planet
of them all
Jupiter
It’s a gas giant and
has several rings
Mars
Despite being red,
Mars is a cold place
Venus
Venus is the second
planet from the Sun
Saturn
31. Mercury Venus
Mercury is the closest planet to
the Sun and the smallest one in
the Solar System—it’s only a bit
larger than the Moon
Venus has a beautiful name and is
the second planet from the Sun.
It’s hot and has a poisonous
atmosphere
Two columns
32. Mathematical percentages
It’s the closest planet to the Sun and the smallest in the Solar System
Mars
Despite being red,
Mars is a cold place
Venus
Venus is the second
planet from the Sun
50%
75%
Saturn
It’s a gas giant and
has several rings
25%
33. Did you know
this?
Mercury is the closest planet to the
Sun and the smallest one in the Solar
System—it’s only a bit larger than the
Moon
34. Check list
It’s the closest planet to the Sun and the smallest in the Solar System
Modeling with systems of linear equation
It’s the closest planet to the Sun
Graphing two-variable linear inequalities
Mars is actually a very cold place
Modeling with two-variable linear inequalities
It’s composed of hydrogen and helium
35. Graphic math
Mars
Despite being red, Mars is
a cold place
Venus
Venus is the second planet
from the Sun
Follow the link in the graph to modify its data and then paste the
new one here. For more info, click here
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You can replace the image on the
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49. JANUARY FEBRUARY MARCH APRIL MAY JUNE
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