Course Outline in
Algebra 3
Academic Year 2014 – 2015 DE LA SALLE SANTIAGO ZOBEL SCHOOL
High School Mathematics Unit
Ayala Alabang Village, Muntinlupa City
Algebra 3
Second Term CUA REMINDERS:
Calculators are NOT allowed.
Scratch papers are NOT allowed.
No borrowing of correction materials (e.g. correction tape).
Use straightedge (e.g. ruler) for graphing.
You may use pencil for your solution, but final answer should be in ink.
Refer to the given rubrics for the point system.
The subject teacher will NOT entertain clarifications, so READ & FOLLOW INSTRUCTIONS.
Use notes, e-book & answer keys for the different summative assessment as review materials.
REVIEWER:
P1. For an airplane flying above the earth, the approximate distance d (in miles) to the horizon is given by the equation 𝑑 = √8000𝑎 , where a is the altitude of the plane in miles. Is it possible that the altitude of the plane is 6 miles if its distance to the horizon is 150 miles?
P2. The radius of a cone with volume V and height h is given by the formula 𝑟 = √𝜋ℎ3𝑉 . Suppose a cone has a radius of 10 cm and a height 25cm, what is its volume?
P3. A boy is standing from a certain distance away from the foot of a pole. This distance is one-fourth the height of the pole. If the distance between the tip of the pole and the
location of the boy is 10m, what is the height of the pole?
P4. Half of Henry’s age added to 13 of Daisy’s age is 11 years. Six years from now, the sum of their ages will be 40 years. How old is each six years from now?
P5. Three years ago, Mark’s age was 1 year more than thrice Aaron’s. Four years from now, Mark’s age will be 2 years more than twice Aaron’s. How old is Aaron?
P6. Seven years ago, Mary was 6 times as old as Cora. In one year, she will only be twice as old as Cora. Find their ages seven years ago.
P7. Three years ago, Rica was thrice as old as Danny. Three years hence, she will be twice as old. Find their ages now.
P8. Ten years ago a man was three times as old as his son. In twelve more years, the son is three-fifths as old as his father. What were their ages 5 years ago?
Understanding Question:
U1. What is the implication of a solution for a system of linear equations in two variables that has 3 equations within it?
U2. When do you have a solution for a system of linear equations in two variables using the graphing method?
U3. When do you have no solution for a system of linear equations in two variables using the substitution method?
Adapted from: Exploring Mathematics, REX; Intermediate Algebra, MSA; Intermediate Algebra, Phoenix
