BATAAN NATIONAL HIGH SCHOOL SY 2023 MATHEMATICS 7 Teacher: Christian Rhey S.Nebre Directions: Read and understand the following questions and choose the correct answer I. Multiple choice 1. A mathematical statement that shows two numbers or two expressions is equal. a. Inequality b. Equality c. Equation d. Both b and c 2. It is a mathematical sentence indicating that two expressions are not equal. a. Inequality b. Equality c. Equation d. Inequation 3. An equation that is satisfied by every number for which both sides are defined. a. Equal b. Equation c. Identity d. Symmetric 4. An equation that has no solution. It is a false equation. a. Inconsistent b. Not equal c. Inequality d. Letter a 5. It is a property of equality states that if two values are equivalent, then we can substitute one for another in an expression a. Substitution c. Substitution property b. Substitute d. Both a and c 6. An equation that has at least one solution but it is not identity. a. Fixed c. Conditional b. Inconsistent d. Loyal 7. It is a property of equality simply states that a value is equal to itself. a. Identity c. Reflexive property b. Inconsistent d. Symmetric property 8. It is a property of equality states that if the same number is added to both sides of the equation, then the equality still true. a. Addition property c. Multiplication property b. Subtraction property d. Division property 9. It is a property of equality says that if both sides of an equation are multiplied by the same number they remain equal. a. Multiplication property c. Addition property b. Division property d. Subtraction property 10. Which of the following is the product of (x-2) (2x+3)? a. 2𝑥 2 + x+ 6 c. 2𝑥 2 - x- 6 b. 2𝑥 2 - x+ 6 d. 2𝑥 2 + x- 6 11. Given the expression which of the following is TRUE 𝑥 2 𝑦 2 ( -𝑥 2 2𝑦 2 + 3𝑥 2 )? a. −𝑥 4 2𝑦 4 +3𝑥 4 𝑦 2 c. 𝑥 4 2𝑦 4 +3𝑥 4 𝑦 4 b. −𝑥 4 2𝑦 4 +3𝑥 4 𝑦 4 d. −𝑥 4 2𝑦 4 -3𝑥 4 𝑦 4 12. Which of the following is the constant term of (𝑥 − 4)2 if we simplify? a. 16 c. 8 b. -16 d. -8 13. Which of the following is the second term of (2𝑥 − 4)2 if we simplify? a. −8𝑥 2 c. −16𝑥 2 b. 16𝑥 2 d. 8𝑥 2 14. Simplify the given expression (2𝑥 3 +4) ( −3𝑥 2 -3) a. -6𝑥 6 -6𝑥 3 -12𝑥 2 -12 c. -6𝑥 5 +6𝑥 3 -12𝑥 2 -12 b. -6𝑥 5 -6𝑥 3 -12𝑥 2 +12 d. -6𝑥 5 -6𝑥 3 -12𝑥 2 -12 15. Which of the following is the product of (2𝑥 + 3𝑦 + 𝑧)2 ? a. 4𝑥 2 + 9𝑦 2 +𝑧 2 +12xy+4xz + 𝑧 2 c. 4𝑥 2 + 9𝑦 2 +𝑧 2 +12xy+4xz +3yz b. 4𝑥 2 + 9𝑦 2 +𝑧 2 +12xy+4xz +6yz d. 4𝑥 2 + 9𝑦 2 +𝑧 2 +12xy+4xz +6xyz 16. Evaluate the given expression (2𝑥 − 3)3 a. 8𝑥 3 -36𝑥 3 +54-27 c. 8𝑥 3 -36𝑥 2 +54-27 b. 8𝑥 3 -36𝑥 2 +54+27 d. 8𝑥 3 -36𝑥 2 -54-27 17. Which of the following classifications of equation is 3x-5=11? a. Identity c. Conditional b. Inconsistent d. False statement 1 18. Which of the following classifications of equation is 1÷ 𝑥 = 𝑥? a. Identity c. Conditional b. Inconsistent d. False statement 19. 2x+3y=5y is what classification of equation? a. Identity c. Conditional b. Inconsistent d. False statement 20. Which of the following classifications of equation is x+x=22? a. Identity c. Conditional b. Inconsistent d. False statement 21. Which of the following POSITIVE absolute values of the given equation |x-4|-3=5? a. 12 b. -12 c.-4 d.4 22. Which of the following NEGATIVE absolute values of the given equation |x+2|=5? a. -3 b. -7 c. 7 d.3 23. Which of the following absolute values of the given equation |x-4|-3=5? a. 12,4 b. -4,12 c. 12,-4 d.4,-12 24. Find the value of X of the given equation 2x-30=50? a. x= 40 c. Walang value ang X b. x= -40 d. Sana all 25. Find the values of X of the given inequality expression 8x-3<-19? a. 2 c. -3,-4,-5,.. b. -2 d. 3,4,5 26. If 𝑚∠1 = 45 and 𝑚∠2=45 what kind of angle relationship if you add the two angles? a. Supplementary angles c. Both a and b b. Complementary angles d. All of the above 27. It define as two angles with common side, common vertex, but no common interior points a. Adjacent angles c. Vertical angles b. Supplementary angles d. Congruent angles 28. If 𝑚∠1 = 120, find the other supplement a. 60 c. 180 b.45 d. 170 29. Two angles are complementary if 𝑚∠1 = 𝑥 + 30 and the measure of the other angle is x+20 find the measures of two angles? a. 𝑚∠1 = 50, 𝑎𝑚𝑑 𝑚∠2 = 40 c. 𝑚∠1 = 20, 𝑎𝑚𝑑 𝑚∠2 = 70 b. 𝑚∠1 = 40 , 𝑎𝑚𝑑 𝑚∠2 = 50 d. 𝑚∠1 = 70 , 𝑎𝑚𝑑 𝑚∠2 = 20 30. One time your mathematics teacher asks to check the time for his class, and when you saw the time to the clock, its 9:00 am. What kind of angle is form by exactly 9:00am? a. Right c. Obtuse b. Acute d. None of the above From numbers 31-35 Directions: Use the figure below to answer the following questions Z T W 1 2 X C Y S 31. What is the interior point of ∠𝑍𝑋𝑊 a. Point C c. Point S b. Point T d. None of the above 32 What is the Exterior point of ∠𝑊𝑋𝑌 a. Point C c. Point S b. Point T d. None of the above 33. Exterior point of ∠𝑍𝑋𝑌 a. Point C c. Point S b. Point T d. None of the above 34. What is the 𝑚∠𝑍𝑋𝑌 if it’s given that 𝑚∠𝑍𝑋𝑊 = 25 and 𝑚∠𝑊𝑋𝑌 = 75 a. 𝑚∠𝑍𝑋𝑌 = 100° c. 𝑚∠𝑍𝑋𝑌 = 100 b 𝑚∠𝑍𝑋𝑊 = 100 d. ∠𝑍𝑋𝑌 = 100° 35. If 𝑚∠𝑍𝑋𝑌 = 120 and 𝑚∠𝑍𝑋𝑊 = 30, what is the 𝑚∠𝑊𝑋𝑌? a. 𝑚∠𝑊𝑋𝑌 = 90° c. ∠𝑊𝑋𝑌 = 90° b. 𝑚∠𝑊𝑋𝑌 = 90 d. ∠𝑊𝑋𝑌 = 90 36. If two angles are supplementary and they are adjacent lies on the straight line therefore they formed? a. Supplementary c. Linear pair b. Adjacent d. Complementary 37. Two angles are supplementary if 𝑚∠1 = 2𝑥 + 20 and 𝑚∠2 = 𝑥 + 40 find the measures of two angles? a. 𝑚∠1 = 80 𝑎𝑛𝑑 𝑚∠2 = 100 c. ∠1 = 80 𝑎𝑛𝑑 ∠2 = 100 b. 𝑚∠1 = 100 𝑎𝑛𝑑 𝑚∠2 = 80 d. ∠1 = 100 𝑎𝑛𝑑 ∠2 = 80 38. Which of the following is NOT true about complementary angles a. Complementary angles can be adjacent angles as long as their sum is equal to 90 b. The sum of two angles is 90 c. Complementary angles the two angles must be the sum is 90, therefore complementary angles are perpendicular d. Complementary angles cannot be adjacent angles as long as their sum is equal to 90 39. Which of the following is NOT true about Supplementary angles a. All supplementary angles are linear pair b. The sum of two angles is 180 c. Supplementary angles formed linear pair if they are adjacent d. Supplementary angles cannot form linear pair if they are not adjacent 40. Find the value of given the equation 𝒙+𝟒 𝟕 𝟔 𝟐 = ? a. x = -17 c. x= 7 b. x = 17 d. x= -7 II. Solve for the value of x then graph. 41. x+7=15 42. -3(2x-8) =-12 43. -9x-6≤ 3x+30 44. -2x≤40 45. 8x-13<-19 II. Solve the following problems below (Show your solutions) 1. Five times a number increased by seven is less than forty-seven find the numbers 2. The sum of two consecutive integers is eighty-five. Find the two numbers 3. Eighty-eight marbles were picked up at the driving range and placed into two baskets. One basket has fifty-three more marbles than the other basket. How many marbles are there in each basket? GOOD LUCK SEVEN LADDERS! Sir Christian