Republic of the Philippines Department of Education Region 02(Cagayan Valley) SCHOOLS DIVISION OFFICE OF ISABELA Tumauini South District LAPOGAN INTEGRATED SCHOOL Lapogan, Tumauini, Isabela 3325 First Summative Test in Mathematics 8 Name:_________________________________________________ Score:___________ I. MULTIPLE CHOICE. Read the questions and statement carefully. Write the letter of the correct answer. NOTE: Any form of erasures will invalidate your answer. _____1. How many terms are there in the expression 5x + 4? a. 1 b. 2 c. 3 d. 4 _____2. What are the literal coefficients in the expression 5x + 3y + 2z? a. x and y b. x and z c. y and z d. x, y and z _____3. What are the operations used in the expression 5x + 8y – 9? a. addition only c. both addition and subtraction b. subtraction only d. Neither addition nor subtraction 2 _____4. What is the constant in the expression 5𝑥 − 3𝑥 + 9? a. 2 b. 3 c. 5 d. 9 _____5. What expression contains operations, numbers, and one or more variables? a. Basic expressions b. Numerical phrases c. Algebraic expressions d. Operational coefficients _____6. What expression refers to the ratio of both polynomial numerator and denominator? a. Basic expressions c. Rational Numerical Phrase b. Basic Rational Expression d. Rational Algebraic Expression _____7. When is Rational Algebraic Expression in lowest term? a. If the numerator and denominator are both of degree one b. If either the numerator and denominator is factored completely c. If the numerator and denominator have no common factor other than 1 d. If the numerator and denominator have no common factor other than -1 _____8. Which of the following is one of the steps in simplifying rational expressions? a. Add the common factors c. Multiply the common factors b. Subtract out the common factors d. Divide out the common factors _____9. Which of the following is the simplest form of 𝑥+1 a. 𝑥−1 𝑥 2 −1 1−𝑥 𝑥+1 b. 1−𝑥 a. 𝑎2 b. ? c. 𝑥+1 _____10. Which of the following is simplest form of 2𝑏2 𝑐 2 𝑥 2 +2𝑥+1 𝑏2 𝑐 2 4𝑎2 𝑏3 𝑐 9 2𝑎4 𝑏𝑐 7 4𝑎2 𝑐 c. 2𝑎2 𝑎2 𝑥−1 d. 𝑥+1 d. 2𝑏2 𝑐 2 𝑎3 _____11. Which of the following expressions has a zero denominator? a. 𝑥 4 −2𝑥 𝑚 b. 𝑝 c. 𝑚−𝑚 4𝑦 30 _____12. What is the value of any real number raised to 0? a. 0 b. 1 c. 2 _____13. What value of the denominator makes the expression undefined? a. 0 b. 1 c. 2 _____14. What is the simplest form of a. 𝑎−2𝑏 3 b. 𝑎+2𝑏 3 4𝑎+8𝑏 12 d. 𝑥 2 −2𝑥+4𝑥 𝑥+2 d. 3 d. 3 ? c. 𝑎+2𝑏 −3 d. −𝑎+2𝑏 3 _____15. What is the mathematical expression for five times a number b decreased by 4? a. 5b + 4 b. 5𝑏 4 c. (5𝑏)4 d. 5b – 4 _____16. Which of the following is an algebraic expression? a. 2x + 4 b. 5𝑏 4 =5 c. 4+5 = 9 d. 7 + 2 _____17. What is the name of a term with no variable in an algebraic expression? a. coefficient b. 𝑣𝑎𝑟𝑖𝑎𝑏𝑙𝑒 c. constant d. factor _____18. What is the result when x =2 and y = 2 in the expression 2𝑥+4 2𝑦 ? a. 0 b. 1 c. 2 d. 3 _____19. Which of the following is not a perfect square trinomial? a. 𝑥 2 − 10𝑥 + 5 b. 𝑥 2 + 8𝑥 + 16 c. 𝑥 2 − 10𝑥 + 25 d. 𝑥 2 − 12𝑥 + 36 2 _____20. Which of the following values of k will make 𝑥 + 16𝑥 + 𝑘 factorable? a. 2 b. 8 c. 16 d. 64 _____21. Expressed in mathematical expression “a number m raised to the 2nd power” a. m1 b. m2 c. m3 d. m4 _____22. What is the simplified form of 2𝑥−10 𝑥−5 ? a. 1 b. 2 c. 3 d. 4 _____23. It is a polynomial with three terms that has squared first and last terms? a. perfect square binomial c. Monomial b. perfect square trinomial d. Binomial _____24. What is the factor of x2 + 14x +49? a. (x+7) (x-7) b. (x+7) (x+2) c. (x+7) (x+7) d. (x-7) (x-7) _____25. Give the least common denominator of 2 a. (4-a) 7 8−2𝑎 and 𝑎 𝑎2 b. 𝑏2 𝑏 4𝑥 b. 3 4−𝑎 𝑥+11 b. 6 𝑎 d. 180y4 c. (a2 + 64) d. (64 – a2) 𝑏 𝑎2 c. 𝑏 2𝑥 2 𝑥 . 3 + 5𝑥 c. 3 𝑥−2 3 𝑥+5 6 _____30. Look for the sum of a. x - 1 c. 90y . _____29. Perform the indicated operation a. 36𝑦 4 + . _____28. Find the simplified form of a. 2 b. 2(4-a) _____27. Give the sum of 5 2 b. 36y _____26. Find the LCD of and 15𝑦 2 4 a. 36y a. 3 - b. x - 2 2 + 2𝑏 6𝑥 3 𝑥+2 2 𝑥−6 𝑥+3 2 d. d. 2𝑎 𝑏 7𝑥 3 . c. 3𝑥−5 2𝑎 6 d. −𝑥−10 6 . c. x -3 d. x – 4 .II. True or False. Direction: Write “True” if the statement is correct and write “False” if the statement is incorrect. _____31. 𝑎+2𝑏 _____32. ( 𝑎 𝑎2 𝑏 3 is a rational algebraic expression )0 is equal to 1. _____33. 𝑃 𝑄 is rational algebraic expression if P≠1,Q=0 _____34. (a + 4) is the simplified form of _____35. 1 𝑛−9 𝑎2 −16 𝑎−4 is equal to n9 _____36. 2x0 is equal to 0 _____37. √3𝑦 is read as cube root of 3y. _____38. 𝑥+𝑦 (𝑥−𝑦)0 is equal to x + y. _____39. 5h + 9 is read as five times a number increased by nine. _____40. 2𝑥 3𝑦 is the simplified form of 8𝑥 12𝑥𝑦 . “Prefer even to fail with honor than to pass by cheating. There is no success without hardship.” BEST OF LUCK AND GOD BLESS 😊 Prepared by: LADY-ANN A. LUGO Subject Teacher Checked by: ROSALINDA B. GARCILIAN School Head