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Algebra 1 Essentials Chapter 3 Mid-Chapter Quiz Students: Show all work on a separate sheet of paper. Work must be shown on multiple choice questions for partial credit to be considered. Short Answer REMEMBER, THE GOAL IS TO GET X BY ITSELF! (1) UNDO ADDITION BY SUBTRACTION (2) UNDO MULTIPLICATION BY DIVISION (3) UNDO MULTIPLICATION OF A FRACTION BY MULTIPLYING BY THE RECIPROCAL. (3) UNDO DIVISION BY MULTIPLICATION (4) COMBINE LIKE TERMS ON EACH SIDE OF THE EQUATION BEFORE MOVING ANYTHING TO THE OTHER SIDE OF THE EQUAL SIGN. Solve the equation. 1. 2. 3. The Fahrenheit and Celsius scales are related by the equation equal to a body temperature of . What temperature Celsius is ? (HINT: YOU KNOW F, AND MUST SOLVE FOR C.) Multiple Choice Identify the choice that best completes the statement or answers the question. Solve the equation. ____ ____ 4. 10x + 2 = 72 a. 4 b. 7 c. 74 d. 70 a. –675 b. 675 c. –75 d. 75 5. Solve the equation. ____ 6. = 26 a. 14 ____ ____ ____ b. 15 c. 38 d. 37 a. 75 b. –3 c. 3 d. –75 a. 108 b. 12 c. 22 d. 24 a. 9 b. 10 c. 40 d. 7. = 15 8. 9. ____ 10. If then x = (Hint: Don’t forget to distribute the negative 4 to both terms in the parentheses.) a. b. c. d. –3 1 –15 5 ____ 11. Solve the equation a. b. c. d. 12 27 8 6 ____ 12. Find the perimeter of the square. Remember that all sides of a square are equal! a. P = 8 units b. P = 36 units c. P = 6 units d. P = 24 units Solve the equation. ____ 13. a. b. c. d. b. –13 c. 13 d. 17 = –4 ____ 14. a. –17 ____ 15. Which of these steps can you use to solve the equation I. Multiply by . II. Divide by . III. Multiply by . IV. Divide by . a. b. c. d. I and IV III only I only II and III ____ 16. Solve This could also be read as a. b. c. d. 3 –3 11 –11 ____ 17. If then x = a. b. c. d. ____ 18. Michelle wants to earn $900 selling 22 knit scarves. She wants to sell each scarf for $4 less than her competitor. If x is the price charged by her competitor, which equation models the situation? a. b. c. d. Problem 19. Swimming Pool The capacity of a small children’s swimming pool is 106 gallons of water. There are currently 15 gallons of water in the pool. You are filling the pool with water at a rate of 2 gallons per minute. CAPACITY OF POOL = CURRENT AMOUNT of WATER + (FILL RATE * TIME) a. Write an equation that gives the amount y (in gallons) of water in the pool as a function of the number x of minutes from now. b. After how LESSON 3.2 LESSON many minutes will the pool be full? Algebra 1 Essentials Chapter 3 Mid-Chapter Quiz Answer Section SHORT ANSWER 1. ANS: 3 PTS: 1 DIF: Level A REF: A1.03.TestA.Eng.13 TOP: Ch. 3 Test, Level A KEY: Pre-made Test | equations BLM: Knowledge NOT: 978-0-618-65612-7 2. ANS: 3 PTS: 1 DIF: Level B REF: A1.03.TestA.Eng.16 STA: CA AI.4.0 TOP: Ch. 3 Test, Level A KEY: Pre-made Test | equations BLM: Comprehension NOT: 978-0-618-65612-7 3. ANS: PTS: 1 DIF: Level B REF: MALG0385 TOP: Lesson 3.2 Solve Two-Step Equations BLM: Application NOT: 978-0-618-65612-7 STA: CA 7.A.4.1 KEY: degree | Celsius | Fahrenheit MULTIPLE CHOICE 4. ANS: STA: KEY: NOT: 5. ANS: STA: KEY: NOT: 6. ANS: STA: KEY: 7. ANS: STA: KEY: NOT: 8. ANS: STA: KEY: 9. ANS: STA: KEY: B PTS: 1 DIF: Level A REF: CA 7.A.4.1 TOP: Lesson 3.2 Solve Two-Step Equations linear | whole | solve | equation | step-2 BLM: 978-0-618-65612-7 C PTS: 1 DIF: Level B REF: CA 7.A.4.1 TOP: Lesson 3.2 Solve Two-Step Equations linear | step(2) | solve | fraction | equation BLM: 978-0-618-65612-7 A PTS: 1 DIF: Level A REF: CA 6.A.1.1 TOP: Lesson 3.1 Solve One-Step Equations linear equations | one-step | solve BLM: Knowledge NOT: D PTS: 1 DIF: Level B REF: CA 6.A.1.1 TOP: Lesson 3.1 Solve One-Step Equations linear equations | one-step | solve BLM: Comprehension 978-0-618-65612-7 D PTS: 1 DIF: Level A REF: CA 6.A.1.1 TOP: Lesson 3.1 Solve One-Step Equations linear equations | one-step | solve BLM: Knowledge NOT: A PTS: 1 DIF: Level A REF: CA 6.A.1.1 TOP: Lesson 3.1 Solve One-Step Equations linear equations | one-step | solve BLM: Knowledge NOT: MALG0382 Knowledge MALG0384 Comprehension MALG0360 978-0-618-65612-7 MALG0369 MALG0362 978-0-618-65612-7 MALG0365 978-0-618-65612-7 10. ANS: D PTS: 1 TOP: SAT/ACT Chapter Test BLM: Comprehension 11. ANS: A PTS: 1 NAT: NCTM 9-12.NOP.1.d KEY: SAT/ACT | Two-Step Equations NOT: 978-0-618-65612-7 12. ANS: D 2x = 7x - 15 15 = 5x x=3 2(3) = 6 6(4) = 24 units PTS: 13. ANS: STA: KEY: NOT: 14. ANS: STA: KEY: 15. ANS: TOP: BLM: 16. ANS: TOP: BLM: 17. ANS: NAT: KEY: NOT: 18. ANS: NAT: TOP: BLM: DIF: KEY: NOT: DIF: STA: BLM: Level B REF: A1.03.EN.ST.05 SAT/ACT | Distributive Property 978-0-618-65612-7 Level B REF: A1.03.EN.ST.04 CA AI.2.0 TOP: SAT/ACT Chapter Test Comprehension 1 A PTS: 1 DIF: Level A REF: MALG0435 CA 7.A.4.1 TOP: Lesson 3.4 Solve Equations with Variables on Both Sides solve | integer | linear equations | step(3) BLM: Comprehension 978-0-618-65612-7 A PTS: 1 DIF: Level A REF: MALG0397 CA 7.A.4.1 TOP: Lesson 3.3 Solve Multi-Step Equations multi-step equations | solve BLM: Knowledge NOT: 978-0-618-65612-7 D PTS: 1 DIF: Level A REF: A1.03.EN.ST.02 SAT/ACT Chapter Test KEY: SAT/ACT | One-Step Equations Knowledge NOT: 978-0-618-65612-7 D PTS: 1 DIF: Level A REF: A1.03.EN.ST.01 SAT/ACT Chapter Test KEY: SAT/ACT | Two-Step Equations Comprehension NOT: 978-0-618-65612-7 D PTS: 1 DIF: Level A REF: A1.03.EN.ST.03 NCTM 9-12.NOP.1.d STA: CA AI.2.0 TOP: SAT/ACT Chapter Test SAT/ACT | One-Step Equations BLM: Comprehension 978-0-618-65612-7 C PTS: 1 DIF: Level B REF: MALG0425 NCTM 9-12.PRS.2 STA: CA 6.A.1.1 Lesson 3.3 Solve Multi-Step Equations KEY: multi-step equations | model Application NOT: 978-0-618-65612-7 PROBLEM 19. ANS: (a) 106 = 15 + 2x (b) The pool will be full in 45.5 minutes, or 45 minutes and 30 seconds PTS: 1