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Advanced Algebra Formative #1 Name: Hegner Multiple Choice: Identify the choice that best completes the statement or answers the question. Show your work! 1. Find the domain of the relation: a. b. 2. c. d. Name the quadrant in which point (1, 0) is located. a. V b. none 3. c. I d. II Find the product: a. b. 4. c. d. Factor the polynomial: a. b. 5. c. d. Evaluate the given expression if x = 25, y = 10, w = 14, and z = 4: a. 785 6. d. –335 b. c. d. b. c. d. Simplify: a. 8. c. 1785 Simplify: a. 7. b. 575 Evaluate the given expression if k 8 : a. 42 b. 22 42 c. 22 d. c. 1 d. 4 Solve for x: 6 x 5 11 9. a. 1 b. 11 10. Solve for n: 8(3n 6) 8n 6n 10 a. All real numbers 11. c. 1 d. 10 b. m= 35, –19 c. m= 35, 19 d. m= –35, –19 b. s= –1.97, –3.03 c. s= 29.5, –3.03 d. s= –1.97, 3.03 Solve for m: a. m= 35, 29 12. b. No solution Solve for s: a. s= 1.97, –3.03 Formative #1 Answer Section MULTIPLE CHOICE 1. ANS: C PTS: 1 DIF: Basic REF: Lesson 0-1 OBJ: 0-1.1 Identify the domain and range of functions. STA: IL J 8B.4 TOP: Representing functions. KEY: domain | range | function 2. ANS: B PTS: 1 DIF: Basic OBJ: 0-1.1 Identify the domain and range of functions. TOP: Representing functions. KEY: quadrant REF: STA: Lesson 0-1 IL J 8B.4 3. ANS: D PTS: 1 DIF: Basic OBJ: 0-2.1 Use the FOIL method to multiply binomials. KEY: FOIL REF: Lesson 0-2 TOP: FOIL 4. ANS: A PTS: 1 DIF: Basic OBJ: 0-3.1 Use various techniques to factor polynomials. TOP: Factoring polynomials. REF: STA: Lesson 0-3 IL J 8A.7 5. ANS: A Evaluate the expression by replacing each variable with its corresponding number and then applying the order of operations. A B C D PTS: OBJ: NAT: TOP: MSC: Feedback Correct! Did you calculate correctly? Did you substitute the correct values? Did you perform all the calculations? 1 DIF: Basic REF: Lesson 1-1 1-1.1 Use the order of operations to evaluate expressions. NA 1 | NA 4 | NA 9 | NA 2 STA: IL J 8A Use the order of operations to evaluate expressions. KEY: 1998 Lesson 1-1 6. ANS: B Use the properties of real numbers to simplify the given expression. A B C D Feedback Did you simplify the entire expression? Correct! Did you interchange the coefficients? Did you calculate correctly? Evaluate Expressions PTS: OBJ: NAT: TOP: KEY: 1 DIF: Average REF: Lesson 1-2 1-2.2 Use the properties of real numbers to evaluate expressions. NA 1 | NA 9 STA: IL J 6B.1 | IL J 6B Use the properties of real numbers to evaluate expressions. Real Numbers | Evaluate Expressions MSC: 1998 Lesson 1-2 7. ANS: B Apply the Distributive Law and simplify the given expression to get the required answer. A B C D PTS: OBJ: NAT: TOP: KEY: Feedback Did you simplify the coefficient of y? Correct! You have calculated an incorrect coefficient of y. Did you simplify the coefficient of x? 1 DIF: Advanced REF: Lesson 1-2 1-2.2 Use the properties of real numbers to evaluate expressions. NA 1 | NA 9 STA: IL J 6B.1 | IL J 6B Use the properties of real numbers to evaluate expressions. Real Numbers | Evaluate Expressions MSC: 1998 Lesson 1-2 8. ANS: B For any real number a, if a is positive or zero, the absolute value of a is a. If a is negative, the absolute value of a is the opposite of a. Substitute the value of k in the equation and solve it. A B C D PTS: OBJ: STA: KEY: Feedback Did you use absolute values in the calculation? Correct! You have not performed all of the required calculations. Did you perform the correct arithmetic operation? 1 DIF: Average REF: Lesson 1-4 1-4.1 Evaluate expressions involving absolute values. NAT: NA 1 | NA 9 | NA 10 | NA 2 IL J 6B.4 | IL J 6B TOP: Evaluate expressions involving absolute values. Evaluate Expressions | Absolute Value MSC: 1998 Lesson 1-5 9. ANS: D For any real number a, if a is positive or zero, the absolute value of a is a. If a is negative, the absolute value of a is the opposite of a. Substitute the value of k in the equation and solve it. A B C Feedback Did you use absolute values in the calculation? Did you perform the correct arithmetic operation? You have not performed all of the required calculations. D PTS: OBJ: STA: KEY: Correct! 1 DIF: Average REF: Lesson 1-4 1-4.1 Evaluate expressions involving absolute values. NAT: NA 1 | NA 9 | NA 10 | NA 2 IL J 6B.4 | IL J 6B TOP: Evaluate expressions involving absolute values. Evaluate Expressions | Absolute Value MSC: 1998 Lesson 1-5 10. ANS: B For any real numbers a and b, where A B C D PTS: OBJ: STA: MSC: PTS: OBJ: STA: MSC: , then , or . Feedback Did you calculate correctly? Correct! Did you consider the negative value of (m – 1)? Did you use the correct sign of each value? 1 DIF: Average REF: Lesson 1-4 1-4.2 Solve absolute value equations. IL J 8D TOP: Solve absolute value equations. 1998 Lesson 1-5 11. ANS: B For any real numbers a and b, where A B C D , if , if , then NAT: NA 1 | NA 9 | NA 10 | NA 2 KEY: Solve Equations | Absolute Value , or . Feedback Did you verify the solution in the original equation? Correct! Did you use the correct values for calculations? Did you use the correct sign in the solution? 1 DIF: Average REF: Lesson 1-4 1-4.2 Solve absolute value equations. IL J 8D TOP: Solve absolute value equations. 1998 Lesson 1-5 NAT: NA 1 | NA 9 | NA 10 | NA 2 KEY: Solve Equations | Absolute Value