This document contains a practice test for general mathematics for 12th grade. It includes multiple choice questions related to linear equations, functions, systems of linear equations, percentages, and costs. The questions cover topics like writing a linear model based on distance and time data, evaluating functions, adding functions, and calculating costs based on unit prices.

1. NAT PRACTICE
TEST General
Mathematics
Here is where your presentation
begins
12th
Grade

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

3. If 𝑓(𝑥)=𝑥+8, evaluate f (2).
A. 4
B. 6
C. 10
D. 16

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

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

8. Overview
01 You can describe the topic of the section
here

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.”

12. A picture is worth a thousand words

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

15. Let’s make
equations!

16. 6 - 5x + 2x = 8 - 4x
First degree equations

17. Features
02
You can describe the topic of the
section here

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

19. Differential equations
Equation Solution
Y = 2x Y = x
Y + 3y = 6x + 11 y = e + 2x + 3
Y - 3y + 2y = 24e y = 3e - 4e + 2e

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)

25. Assignment
03
You can describe the topic of the
section here

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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