reviewer in mathematics i-quarter 3.pdf

MATHEMATICS

I

REVIEWER Quarter 3

Division of Negros OccidentalCottage Road, Bacolod City

Designed 2011 by the Learning Resource Management and Development System (LRMDS), DepEd - Division of Negros Occidental under the Strengthening the Implementation of Basic Education in Selected Provinces in the Visayas (STRIVE).

Section 9 of Presidential Decree No. 49 provides:

No copyright shall subsist in any work of the Government of the Republic of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit.

This material was developed by the Secondary Mathematics Teachers of Dep Ed Division of Negros Occidental, CottageRRoad, Bacolod City ,Philippines

This edition has been created with permission for online distribution through the Learning Resource Management Development System (LRMDS) Portal (http://lrmds.deped.gov.ph/) under Project STRIVE for BESRA, a project supported by AusAID.

Reviewer in Mathematics 1 Quarter 3 Division of Negros Occidental Cottage Road, Bacolod City

TABLE OF CONTENTS

Topic Page

I. Test Questions. . . . . . . . . . . . . . . . 1-7

II. Key Answers . . . . . . . . . . . . . . . . . 8

III. Solutions to Problems. . . . . . . . . . 9-10

IV. Competencies Budget Outlay. . . . .11-14

Review Questions 2 Mathematics 1-Elementary Algebra Third Grading

1

DEPARTMENT OF EDUCATION Region VI-Western Visayas

DIVISION OF NEGROS OCCIDENTAL Cottage Road, Bacolod City

THIRD GRADING REVIEW TEST MATHEMATICS I

DIRECTIONS: Read each question carefully and select the correct answer from the alternatives that follow. Write the LETTER only.

1. It is known as an expression which makes use of the symbols of equality and inequality. A. Equation B. Inequality C. Mathematical phrase D. Mathematical sentence

2. Which is a mathematical sentence? A. 9x + 2 B. 8x > 5 C. a 2b + c D. 4y = 3x + 2

3. Which algebraic equation represents the word sentence 15 less than the number of computers C is 32?

A. = 32

B. 15C = 32 C. 15 C = 32 D. C 15 = 32

4. Which of the following mathematical sentences in one variable is in the first degree? A. x(x + 2) = 2 B. x 4 = 5x C. = 3

D. + 4 = 2

5. In order to apply for a drivers permit in Ohio, you have to be at least 16 years old. Which graph correctly represents the possible ages of Ohioans who can apply for a drivers permit? A. B. C. D.

14 15 16 17 18

14 15 16 17 18

14 15 16 17 18

14 15 16 17 18


2

6. Which of the following is a solution set of x 4 > 2, if x is an integer? A. { 7, 8 , 9, } B. { 6, 7, 8, } C. { 2, 3, 4, } D. { -6, -7, -8, }

7. Which equation has a solution of x = 3? A. 2x 6 = 3 B. 2x 6 = 8 C. -2x 6 = -3 D. -2x 6 = -12

8. What property justifies a + b = b + a or ab = ba? A. Associative Property B. Closure Property C. Commutative Property D. Identity Property

9. Which of the following shows multiplication property of equality? A. 4-x = 2, then x = 2 B. = 5, then x = 10 C. x + 4 = 6, then x = 2 D. x 5 = 10, then x = 15

10. Which of the following is the solution of the equation 4x + 3 + 2x 5x = 2 + 8? A. 4 B. 5 C. 6 D. 7

11. What is the solution of 5x 6 = 9?

A. 15 B. 3 C. -3 D. -15

12. To solve for b in b + 3 < 27, what property of inequality can be used? A. Multiplication Property of Inequality B. Reflexive Property of Inequality C. Subtraction Property of Inequality D. Transitive Property of Inequality


3

13. Which is the graph of the solution set of 5x > 30? A. B.

C.

D.

14. Which of the following solution set can satisfy the inequality -2x + 3 < 9? A. x < -3 B. x > -3 C. x > 3 D. x < 3

15. Which of the following inequalities has a greater solution set? A. 3x > 9 B. 9x < 3 C. 2x < 8 D. 8x > -2

16. Toni is six years older than Amy. The sum of their ages is 24. How old is Amy? A. 18 B. 15 C. 9 D. 6

17. The sum of three consecutive odd integers is 39. Find the second number? A. 11 B. 13 C. 15 D. 17

18. Eight divided by a number reduced by five is less than one-third of nine. Find the number. A. x< - 1 B. x< 1 C. x> -1 D. x> 1

19. A Gucci bag costs Php 1 050 and has a discount of 15%. What is the discounted price? A. Php 157.50 B. Php 175.50 C. Php 892.50 D. Php 982.50

0 2 4 6 8

0 2 4 6 8

0 2 4 6 8

0 2 4 6 8


4

20. The schools drama club sells tickets for their performance. Student tickets cost Php60 and

non student tickets cost Php 100. If they sold 680 tickets for a total of Php 56 000. How many student tickets did they sell? A. 680 B. 380 C. 300 D. 260

21. A gift shop sells stuffed toys for Php60 each . If the shop sold six more teddy bears than

dogs, how many teddy bears and dogs were sold if the sales of both toys totaled Php 1 200? A. 7 B. 13 C. 20 D. 25

22. In the ordered pair (4, -3), 4 is the abscissa. What is -3?

A. Abscissa B. Ordinate C. Ordered pair D. Plane

23. What is the coordinates of a point, 5 units to the right of the y-axis and 3 units above the x-

axis? A. ( 5, 3) B. ( 3, 5) C. (-5, 3) D. (-3, 5)

24. In what quadrant of the Cartesian Plane does (-5, 12) lie?

A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV

25. If x is zero and y is 5, where does the point lie?

A. Positive x-axis B. Negative x-axis C. Positive y-axis D. Negative y-axis


5

26. Which of the following is a linear equation in two variables?

A. x + 2 = 3y B. x2

C. 3x + y y = 4

2

D. 5x = 10 = 0

27. What are the values of y in y = -x if the values of x are A. -2, -1, 0, 1, 2 B. 2, 1, 0, -1, -2 C. -1, 0, -1, -2, 2 D. 0, -1, -2, 1, 2

28. What is the slope of a line that rises to the right? A. Zero B. Undefined C. Negative D. Positive

29. What is the y-intercept of the line whose equation is 2x y = 6? A. 6 B. 2 C. -2 D. -6

30. What is the slope of line b when it is parallel to a line whose equation is 3x + 2y = 5? A.

B.

C. -

D. -

31. Which is the equivalent equation of 5x + y = 8? A. y = -5x 8 B. y = -5x + 8 C. y = 5x 8 D. y = 5x + 8

32. Given the slope 2 and the y-intercept 3, what is the equation of the line? A. y = 2x -3 B. 2x + y = 3 C. -2x + y = -3 D. y = 2x + 3

x -2 -1 0 1 2

y


6

33. What is the equation of the line in standard form whose slope is 3 and passing through the point ( 1, 3)? A. 3x + y = 0 B. 3x y = 0 C. 3x + y = 6 D. 3x y = 6

Questions 34, 35 and 36, refer to the figure below.

34. What is the x-intercept? A. 2 B. 0 C. -2 D. -3

35. What is the slope of the line in the figure above?

A.

B.

C. -

D. -

36. The coordinates of point A are:

A. ( 3, -4) B. (-4, 3) C. (-3, 4) D. ( 4, -3)

A

-8

-6

-4

-2

0

2

4

-5 -4 -3 -2 -1 0 1 2 3

x


7

37. What is the equation of the line whose x-intercept is 4 and y-intercept is 5? A. 4x + 5y = 1 B. 4x + 5y = 20 C. 5x 4y = 9 D. 5x + 4y = 20

38. What is the equation of the line passing through the passing through the points (-2, 5) and ( 0, 7)? A. y = x + 7 B. y = x 7 C. y = -x + 7 D. y = -x 7

39. Which of the following equations represents a steepest graph?

A. 2x + 4y = 8 B. 2x 4y = 8 C. 2x + 2y = 8 D. 4x 2y = 8

40. Points E, F, G and H have coordinates (0, 2), (5, 3), (4, 0) and (-1, -1) respectively. Which

point is nearest to the origin? A. E B. F C. G D. H

-END OF TEST-



REVIEW QUESTIONS- Answer Key

Mathematics I- Third Grading

Item Number Answer Item Number Answer 1 D 21 C

2 D 22 B 3 D 23 A

4 B 24 B 5 B 25 C 6 B 26 A 7 D 27 B 8 C 28 D 9 B 29 D

10 D 30 D 11 B 31 B 12 C 32 D 13 C 33 B 14 B 34 C 15 A 35 D 16 C 36 B 17 B 37 D 18 D 38 A 19 C 39 D 20 C 40 D



REVIEW QUESTIONS 2 - Solutions

Mathematics I

THIRD GRADING 16. Let x = age of Amy x + 6 = age of Toni x + x + 6 = 24 2x = 18 x = 9 17. Let x = first odd number x + 2 = second odd number x + 4 = third odd number x + (x + 2) + (x + 4) = 39 3x = 39 6 x = 11 Thus, the second number is x + 2 or 13

18. D. - 5 < (9)

- 5 < 3

8 5x < 3x 8 < 8x 1 < x or x > 1 19. C. x = Php 1 050 x 85% x = Php 892.50 20. C. Let x = no. of student tickets 60x + 100 (680 x) = Php 56 000 60x + 68 000 100x = Php 56 000

-40x =Php 56 000 Php 68 000 -40x = - Php 12 000 x = 300

21. C. Let x = dog x + 6 = teddy bear 60x + 60(x + 6) = 1 200 60x + 60x + 360 = 1 200 120x = 1200 360 120x = 840 x = 7 x + 6 = 13 7 + 13 = 20 or 60 (x + x + 6) = 1200 60( 2x + 6) = 1200 2x + 6 = 20 2x = 26 x = 13 30. D. A || B A : 3x + 2y = 5 2y = -3x + 5

y = x +

33. B. m = 3 ; (1, 3) y y1 = m (x x1 y 3 = 3 (x 1)

)

y 3 = 3x 3 3x y = -3 + 3 3x y = 0

37. D. x-int = 4 y-int = 5 ( + = 1) 20

5x + 4y = 20 38. A. (-2, 5) , (0, 7)

m = = = 1

y = x + 7 39. D. a. 2x + 4y = 8 2y = -2x + 8

y = - x +

y = - x + 4 f

m = -1/2 b. 2x 4y = 8 -4y = -2x + 8

y = x 2

y = x -2

m = 1/2 c. 2x + 2y = 8 2y = -2x + 8 y = -x + 4 m = -1 d. 4x 2y = 8 -2y = -4x + 8 y = 2x 4 m = 2

- the greater the absolute value of m, the steeper the line.

f

MATH 1 THRID GRADING PERIOD BCO

TOPIC CONCEPTS OBJECTIVES VALUE FOCUS SKILLS TO BE DEVELOPED MATERIALS STRATEGY

NO. OF

DAYS TARGET DATES

ACTUAL DATES

Introduction to First Degree Equations and Inequalities in One Variable

Distinguish between mathematical phrases and sentences

D1 Distinguish between mathematical phrases and sentences Equality in

society fairness

Identify mathematical phrases from

sentences

Flipchart Provision for integration of

content area in language teaching

1

D1.1 Distinguish between mathematical phrases and sentences

D1.2 Give examples of mathematical expressions and sentences

1

Distinguish expressions and inequalities

D2 Distinguish between expressions and equations Awareness Mastery of ideas Flipchart

Recall and Lecture

1

Distinguish equations and inequalities

D3 Distinguish between equations and inequalities

Recollection of ideas Flipchart Recall

Translation of Verbal Statements into Equations and Inequalities

Phrases and sentences

D4 Translate verbal statements involving general or unknown quantities to equations and inequalities and vice versa

Crirical thinking Mental alertness Flipchart Discussion 1

Definition of 1st Dgree Equation and Inequalities in One Variable

D5 Define 1st degree

equations and inequalities in one variable

Orderliness Mental alertness Flipchart Discussion 1

Solution Set of 1st Degree Equation or Inequality

Define the solu-tion set of a 1st degree equations of inequality

D6 Define the solution set of a 1st degree equation or inequality in one variable

Patience Mental alertness Flipchart Discussion 1

Solution Set of Equations and Inequalities in one Variable on

Illustrating the solution set on the number line

D7 Illustrate the solution set of equations and inequalities in

ine variable on the number line

the number line

Solution Set of Equations and Inequalities in one Variable on the number line

Express the solution set of 1st degree equations in one variable on the number line

D7.1 Illustrate the solution set of 1st degree in one variable on the number Perseverance

and Determination

Mastery of ideas colored chalk Exposition and Discussion 1

D7.2 Illustrate the solution set of 1st degree inequalities in one variable on a number line

MATH 1 BCO


NO. OF

DAYS TARGET DATES

ACTUAL DATES

Solution Set of Simple Equations and Inequalities in One Variable from a Replacement Set

Find the solution set of simple equations and inequalities

D8 Finding the solution set of simple equations and inequalities in one variable from a given replacement set

Care and orderliness lead to better results

Matery in finding the solution set from a given replacement set

Cartolina and Colored chalk Discussion 1

Solution Set of Simple Equations and Inequalities in One Variable by Inspection

Finding the solution set of simple equations and inequalities by inspection

D9 Find the solution set of simple equations and inequalities in one variable by inspection

Preciseness Mental alertness Colored chalk Cooperative learning 1

Basic Properties of Real Numbers

Recall properties of real numbers

D10 Review the basic properties of real numbers

Recollection of ideas Mastery of ideas Flashcards Discussion 1

Properties of Equality

Concepts of Equality

D11 State and illustrate the different properties of equality

Careful evaluation leads to better results

Mental alertness Cartolina and Colored chalk Discussion 1

Solving 1st degree

Solving 1st degree equation

D12 Determine the solution set of 1st degree equations in one Patience

Solving equations with

Problems involving 1st Discussion 2

Equations in One Variable

in one variable by applying the properties of equality

variable by applying the properties of equality

speed degree equation

Properties of Inequalities

D13 State and illustrate the different properties of inequality

Speed and preciseness in determining the solution set of 1st degree inequalities in one variable

2

Solving 1st degree Inequalities in One Variable Using a Number Line

Illustrating the solution set of 1st degree inequalities in one varianle on the number line

D14 Determine the solution set of 1st degree inequalities in one variable by applying the properties of simple mathematical inequalities on a number line

Accuracy and Neatness

Number line (improvised) and colored chalk

Cooperative learning

MATH 1 BCO


NO. OF

DAYS TARGET DATES

ACTUAL DATES

Applying the properties of Inequality

D14.1 Determine the solution set of 1st degree inequalities in one variable bu applying the properties of inequality

Mental alertness

Mastery in determining the solution set of 1st degree inequalities in one variable by applying the properties of inequality

Flipchart and cartolina Discussion 1

Solutions of mathematical inequalities on a number line

D14.2 Visualize the solutions of simple mathematical inequalities on a number line

Orderliness

Develop speed in finding the solutions on the number line

Number line (improvised) and colored chalk

Discussion 1

Word problems Solve problems involving 1st degree

D15 Solve problems using 1st degree equations and inequalities in one variable

Self-expression

Solve problems with speed Hand-outs

(Apply the steps of problem

7

equations and inequalities

solving to real life situation)

a) Relations among numbers

Cooperative learning discussion

b) Geometry

c) Business

d) Uniform motions

e) Money problems

f) Age problems, etc.

Reviewer Cover3TABLE OF CONTENTS-3Third grading Math 1Key answer for Math I Third GradingMath 1 SOLUTIONS TO PROBLEM SOLVING 3rd RatingMATH 1-BCO for 3rd rating

reviewer in mathematics i-quarter 3.pdf

Documents

solution of x

solution set of x

property of inequality

commutative property

closure property

identity property

associative property

deped division