Learning Module for Jun C. 9 D. 16 8 4 eation 7 8: Jhondy throw an object upward from the top of a 300 ft. tall building. The height of the object, (measured in feet) t seconds he threw it is h-4t + 40t + 300. dy threw it?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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6:37 - O
32%.
Lanilyn
GRADE 9
ourning Module for Juntor High School Mathematio
C. 9
D. 16
Oucation 7 & 8: Jhondy throw an object upward from the top of a 300 t talI
building. The height of the object, (measured in feet) t seconds
8 4
after he threw it is h- 4t+ 40t + 300.
7. Where is the object 5 seconds after Jhondy threw it?
С. 1000 R.
D. 530 ft.
A. 500 n.
B. 160 t.
8. How Jong does it take for the object to hit the ground?
A. 5 seconds
B. 12 seconds
C. 10 seconds
D. 15 seconds
9. John, Luke and Mark can finish painting the fence in 2 hours. If John does the
job alone, he can finish it in 5 hours. If Luke does the job alone, he can finish it
in 6 hours. How long will it take for Mark to finish the job alone?
A. 5 hrs.
B. 7.5 hrs.
C. 3 hrs.
D. 1 hr.
10.Two pipes working together can fill a tank in 35 minutes. If the large pipe alone
can fill the tank in 24 minutes less than the time taken by the smaller pipe then
find the time taken by large pipe working alone to fill the tank.
A. 60 mins.
B. 20 mins.
C. 50 mins.
D. 84 mins.
ADDITIONAL ACTIVITIES
Critical Thinkcing and Creativity
A. A ladder 5 m long is leaning against a wall. The
distance from the bottom of the ladder to the wall is 1
m less than the distance from the top of the ladder to
the ground. How far is the bottom of the ladder from
the wall?
B. Formulate problems that involve quadratic equations
Provide an illustrations and guide questions, then
solve in as many ways as possible.
More
Edit
:
Transcribed Image Text:6:37 - O 32%. Lanilyn GRADE 9 ourning Module for Juntor High School Mathematio C. 9 D. 16 Oucation 7 & 8: Jhondy throw an object upward from the top of a 300 t talI building. The height of the object, (measured in feet) t seconds 8 4 after he threw it is h- 4t+ 40t + 300. 7. Where is the object 5 seconds after Jhondy threw it? С. 1000 R. D. 530 ft. A. 500 n. B. 160 t. 8. How Jong does it take for the object to hit the ground? A. 5 seconds B. 12 seconds C. 10 seconds D. 15 seconds 9. John, Luke and Mark can finish painting the fence in 2 hours. If John does the job alone, he can finish it in 5 hours. If Luke does the job alone, he can finish it in 6 hours. How long will it take for Mark to finish the job alone? A. 5 hrs. B. 7.5 hrs. C. 3 hrs. D. 1 hr. 10.Two pipes working together can fill a tank in 35 minutes. If the large pipe alone can fill the tank in 24 minutes less than the time taken by the smaller pipe then find the time taken by large pipe working alone to fill the tank. A. 60 mins. B. 20 mins. C. 50 mins. D. 84 mins. ADDITIONAL ACTIVITIES Critical Thinkcing and Creativity A. A ladder 5 m long is leaning against a wall. The distance from the bottom of the ladder to the wall is 1 m less than the distance from the top of the ladder to the ground. How far is the bottom of the ladder from the wall? B. Formulate problems that involve quadratic equations Provide an illustrations and guide questions, then solve in as many ways as possible. More Edit :
ENCLOSED! Mang Kevin owns a rectangular lot. The perimeter of the lot is 100
WHAT
coefficients of a quadratic equation. Write the letter that you think is the best answer to
each question on your answer sheet. Answer all items. After taking and checking this
short test, take note of the items that you were not able to answer correctly and look for
the right answer as you go through this module.
Find out how much you already know about the relation of the roots and
1. Given the quadratic equation ax? + bx +c = 0 where a, b, c are real numbers and
a + 0, which of the following is the sum of its roots?
А. а
B. c
C.
D.
2. Which of the following is the product of the roots of ax² + bx +c =0?
A.
C. c
D. a
a.
в. -
3. What is the sum of the roots of the quadratic equation 2x? + 10x -– 14 = 0?
A. -5
В. 5
С. 7
D. -7
4. In the quadratic equation 2x2 + 10x-14 = 0, which of the following is the product
of its roots?
A. -5
В. 5
С. 7
D. -7
GRADE
Learning Module for Junior High School Mathematics
5. The roots of a quadratic equation are 6 and -3. Which of the following quadratic
equations has these roots?
A. x-3x - 18 = 0
B. + 3x + 18 = 0
C. x- 3x + 18 = 0
D. x? + 3x - 18 = 0
6. Let s and p be the roots of the equation x? - tx = n.What is sp?
A. n
B. -n
С. t
D. -t
2-3
7. If and are the roots, which of the following is the quadratic equation?
A. 25x2 - 20x +1=0
B. 25x + 20x -1 =0
C. 25x? - 20x -1= 0
D. 25x2 + 20x +1 = 0
8. The product of the roots of a quadratic equation is 36. If one of the roots is 9,
which of the following could be the equation?
A. x2 + 13x + 48 = 0
B. x - 13x -48 = 0
C. x - 13x + 36 = 0
D. x2 + 13x -48 = 0
9. What is the value k if one root of (3k+1)x? - Skx - 5 = 0 is 2?
A. -
B. !
С. 5
D. -5
10 The sum of the roots of a quadratic cquation is 5. If one of the roots is 1. which
of the following is the quadratic equation?
A. x + 5x - 4 0
B. x - 5x + 4=0
C. x + 5x + 4 -0
D. x? - 5x -4 = 0
Critical Thinking and Creativity
ADDITIONAL ACTIVITIES
ENCLOSED! Mang Kevin owns a rectangular lot. The perimeter ofr the Jot in t
meters and the area is 450 square meters.
Uning the concept of the sum
and product of roots of a
quadatic eguation, how would
you detemine the length and
the widh of the rectanguter
tt Provide a quadraic
equation representing this
scenario.
Transcribed Image Text:ENCLOSED! Mang Kevin owns a rectangular lot. The perimeter of the lot is 100 WHAT coefficients of a quadratic equation. Write the letter that you think is the best answer to each question on your answer sheet. Answer all items. After taking and checking this short test, take note of the items that you were not able to answer correctly and look for the right answer as you go through this module. Find out how much you already know about the relation of the roots and 1. Given the quadratic equation ax? + bx +c = 0 where a, b, c are real numbers and a + 0, which of the following is the sum of its roots? А. а B. c C. D. 2. Which of the following is the product of the roots of ax² + bx +c =0? A. C. c D. a a. в. - 3. What is the sum of the roots of the quadratic equation 2x? + 10x -– 14 = 0? A. -5 В. 5 С. 7 D. -7 4. In the quadratic equation 2x2 + 10x-14 = 0, which of the following is the product of its roots? A. -5 В. 5 С. 7 D. -7 GRADE Learning Module for Junior High School Mathematics 5. The roots of a quadratic equation are 6 and -3. Which of the following quadratic equations has these roots? A. x-3x - 18 = 0 B. + 3x + 18 = 0 C. x- 3x + 18 = 0 D. x? + 3x - 18 = 0 6. Let s and p be the roots of the equation x? - tx = n.What is sp? A. n B. -n С. t D. -t 2-3 7. If and are the roots, which of the following is the quadratic equation? A. 25x2 - 20x +1=0 B. 25x + 20x -1 =0 C. 25x? - 20x -1= 0 D. 25x2 + 20x +1 = 0 8. The product of the roots of a quadratic equation is 36. If one of the roots is 9, which of the following could be the equation? A. x2 + 13x + 48 = 0 B. x - 13x -48 = 0 C. x - 13x + 36 = 0 D. x2 + 13x -48 = 0 9. What is the value k if one root of (3k+1)x? - Skx - 5 = 0 is 2? A. - B. ! С. 5 D. -5 10 The sum of the roots of a quadratic cquation is 5. If one of the roots is 1. which of the following is the quadratic equation? A. x + 5x - 4 0 B. x - 5x + 4=0 C. x + 5x + 4 -0 D. x? - 5x -4 = 0 Critical Thinking and Creativity ADDITIONAL ACTIVITIES ENCLOSED! Mang Kevin owns a rectangular lot. The perimeter ofr the Jot in t meters and the area is 450 square meters. Uning the concept of the sum and product of roots of a quadatic eguation, how would you detemine the length and the widh of the rectanguter tt Provide a quadraic equation representing this scenario.
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