Algebra I: Chapter 8 Test
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1 Name: Class: Date: Algebra I: Chapter 8 Test Simplify. Leave your answer in exponential form. a. 8 6 b c. 8 5 d. 8 7 Simplify: 2. r 4 r 5 r 6 a. r 20 b. 3r 20 c. r 5 d. 3r 5 3. w c 7 8w 3 c 5 a. 8w 4 c 2 c. 8w 4 c b. 8w 3 c 2 d. 8w 3 c 4. 3c 8 2c 6 d 8 a. 6c 4 d 8 c. 6c 48 d 4 b. 6c 48 d 8 d. 6c 4 d 4 5. Ê c 8 4 a. c 32 b. c 2 c. c 2 d. c 4 6. Ê g 7 6 a. g 42 b. g 3 c. g 6/7 d. g 7/ a b. 6 9 c d (8 8 ) 8 Simplify. Write your answer using exponents. a b. 8 6 c d Ê a. 2 /3 b c. 2 8 d (2qr 5 ) 3 (qr) 6 a. 2q 9 r 2 c. 8q 9 r b. 2q 4 r 2 d. 8q 9 r 2
2 Name:. 4t 2 r 4 3 a. 64t 6 r 2 c. 64t 5 r 7 b. 64t 6 r 2 d. 2t 5 r 7 Simplify the expression using positive exponents. 2. Ê a. b. 4 q 8 32 c. q 8 65, 536 8q d. 32 8q 65, 536 q 8 3. Ê a. b. x 3 y 8 4 x 2 y 32 c. x 2 + y 32 x 7 y 2 d. x 2 y 8 Simplify: 4. a a a. a 22 b. a 22 c. 22 a d. a a. 252 b. 36 c. 4 d Write using positive exponents. a. 5 3 b. 5 2 c. 5 2 d Which of the following is equal to when multiplied by 2 2? a. 2 2 b. ( 2) 2 c. 2 2 d. Ê Which expression is equivalent to ? a. b. c d
3 Name: 9. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. È Ê What is the value of the expression 3 ÎÍ 20. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. Ê What is the value of the expression GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. 2 0?? What is the value of the expression ( 8) ( 29)? 22. Write 2,239 in scientific notation. a c b d Write in scientific notation. a c b d Multiply: 24. Ê a c b d In astronomy, the immense distances between celestial bodies are measured in light-years, the distance that light can travel in one year. One light-year is approximately 5,880,000,000,000 miles. If a star is 8.4 light-years from Earth, how would you correctly represents the number of miles the star is from Earth in scientific notation? a c b d Ordinary conversation with another person typically has an intensity level of 65 decibels, which is equivalent to a power intensity of about 32 ten-millionths of a watt per square meter. How would you correctly represent the number 32 ten-millionths in scientific notation? a c b d
4 Name: 27. Metal rods get shorter when they are cooled. In a science class experiment, identically-sized metal rods were cooled in ice-baths. The rods were all painted so there were no clues as to what metal they were. Their length changes are shown in the table below. The teacher told the students that the rod that showed the greatest change in length would be the copper rod. Which rod was the copper rod? a. rod #2 c. rod #4 b. rod # d. rod #3 28. The calorie and the BTU (British Thermal Unit) are two standard units of energy. Two calories is about BTU. How is this measure expressed in scientific notation? a c b d Deimos, a moon of Mars, takes about 860 minutes to orbit the Mars. How is this measurement expressed in scientific notation? a minutes c minutes b minutes d minutes 30. Evaluate 49.5 Ê 0 4. a. 495,000 b c. 49,500 d. 4,950, Radio signals travel at a rate of meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height of meters? a seconds c seconds b seconds d seconds 32. Which list shows the numbers in order from least to greatest? a , , b , , c , , d , , GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. Sometimes it is easier to understand the size of a number given in scientific notation if it is converted to fraction form. What simplified fraction is equivalent to ? 4
5 Name: 34. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. In ocean water, sound waves travel at meters per second. Suppose a whale in the Pacific Ocean starts its song and the sound travels 2,000 meters before it is picked up by a sensor on the ocean bed. How many seconds does it take the sound to travel 2,000 meters? Round to the nearest tenth of a second. 35. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. The molecular masses of several samples of unidentified fluids used in a chemistry laboratory quiz are shown below. Sample Molecular Mass Ê kg If the samples are arranged on a shelf in order of their molecular masses from least to greatest, what is the sample number of the sample that will be in the middle? 36. The amount of money, A, accrued at the end of n years when a certain amount, P, is invested at a compound annual rate, r, is given by A =P( +r) n. If a person invests $50 in an account that pays 0% interest compounded annually, find the balance after 5 years. a. $4800 b. $8250 c. $650 d. $ Sara bought 7 fish. Every month the number of fish she has doubles. After m months she will have F fish, where F = 7 2 m. How many fish will Sara have after 2 months if she keeps all of them and the fish stay healthy? a. 96 b. 28 c. 20 d. 38. If there are initially 3500 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours can be found using the formula N = 3500 Ê 2 t. How long will it take the culture to grow to 35,000 bacteria? a. 2 hr b hr c. hr d hr 5
6 Name: Graph the function. 39. y = x Ê 2 a. c. b. d. 40. Write an exponential function to model the situation. A population of 470 animals decreases at an annual rate of 2%. a. y = 470(.88) c. y = 470( 0.2) b. y = 470(.2) d. y = 470( 0.88) 6
7 Algebra I: Chapter 8 Test Answer Section. ANS: D PTS: DIF: Level B REF: MALG096 KEY: exponent 2. ANS: C PTS: DIF: Level B REF: MALG098 KEY: simplify exponent multiply product rule 3. ANS: A PTS: DIF: Level B REF: MALG00 KEY: simplify exponent multiply product rule 4. ANS: A PTS: DIF: Level B REF: MALG02 KEY: simplify exponent multiply product rule 5. ANS: A PTS: DIF: Level A REF: MALG04 KEY: simplify power rule exponent 6. ANS: A PTS: DIF: Level A REF: MALG06 KEY: simplify power rule exponent 7. ANS: B PTS: DIF: Level A REF: MALG6 KEY: whole exponent power multiply 8. ANS: C PTS: DIF: Level A REF: MALG03 KEY: exponents 9. ANS: D PTS: DIF: Level A REF: MALG7 KEY: variable exponent power power to a power
8 0. ANS: D PTS: DIF: Level B REF: MALG2 KEY: polynomial exponent BLM: Comprehension. ANS: A PTS: DIF: Level B REF: MALG0 KEY: simplify power rule exponent BLM: Comprehension 2. ANS: D PTS: DIF: Level B REF: MALG25 MI.MIGLC.MTH A3.2.3 TOP: Lesson 8.2 Apply Exponent Properties Involving Quotients KEY: exponent power fraction simplify monomial exponent law BLM: Comprehension 3. ANS: A PTS: DIF: Level B REF: MALG27 MI.MIGLC.MTH A3.2.3 TOP: Lesson 8.2 Apply Exponent Properties Involving Quotients KEY: exponent power quotient power to a power fraction simplify monomial exponent law BLM: Comprehension 4. ANS: A PTS: DIF: Level B REF: MALG34 STA: MI.MIGLC.MTH L2..2 MI.MIGLC.MTH A..2 MI.MIGLC.MTH A..6 TOP: Lesson 8.3 Define and Use Zero and Negative Exponents KEY: negative exponent 5. ANS: B PTS: DIF: Level A REF: MALG3 STA: MI.MIGLC.MTH L..4 MI.MIGLC.MTH L2..2 MI.MIGLC.MTH A..2 MI.MIGLC.MTH A..6 TOP: Lesson 8.3 Define and Use Zero and Negative Exponents KEY: zero exponent multiply 6. ANS: B PTS: DIF: Level B REF: MALG4 STA: MI.MIGLC.MTH L2..2 MI.MIGLC.MTH A..2 MI.MIGLC.MTH A..6 TOP: Lesson 8.3 Define and Use Zero and Negative Exponents KEY: exponent divide multiply negative integer simplify BLM: Comprehension 7. ANS: A PTS: DIF: Level B REF: MALG42 STA: MI.MIGLC.MTH L..4 MI.MIGLC.MTH L2..2 MI.MIGLC.MTH A..2 MI.MIGLC.MTH A..6 TOP: Lesson 8.3 Define and Use Zero and Negative Exponents KEY: identify inverse multiplicative BLM: Comprehension 8. ANS: D PTS: DIF: Level A REF: MALG53 MI.MIGLC.MTH A3.2.3 TOP: Lesson 8.3 Define and Use Zero and Negative Exponents KEY: exponent negative simplify expression 2
9 9. ANS: /3 PTS: DIF: Level B REF: MALG43 STA: MI.MIGLC.MTH L..4 MI.MIGLC.MTH L2..2 MI.MIGLC.MTH L2.3.2 MI.MIGLC.MTH A..2 MI.MIGLC.MTH A..6 TOP: Lesson 8.3 Define and Use Zero and Negative Exponents KEY: power zero BLM: Comprehension 20. ANS: PTS: DIF: Level B REF: MALG52 STA: MI.MIGLC.MTH L2..2 MI.MIGLC.MTH L2.3.2 TOP: Lesson 8.3 Define and Use Zero and Negative Exponents KEY: zero power 2. ANS: PTS: DIF: Level A REF: MALG55 STA: MI.MIGLC.MTH L..4 MI.MIGLC.MTH L2..2 MI.MIGLC.MTH A..2 MI.MIGLC.MTH A..6 TOP: Lesson 8.3 Define and Use Zero and Negative Exponents KEY: exponent power additive inverse zero 22. ANS: A PTS: DIF: Level A REF: MALG58 TOP: Lesson 8.4 Use Scientific Notation KEY: scientific notation 23. ANS: D PTS: DIF: Level A REF: MALG60 TOP: Lesson 8.4 Use Scientific Notation KEY: scientific notation 24. ANS: A PTS: DIF: Level B REF: MALG74 TOP: Lesson 8.4 Use Scientific Notation KEY: multiply product scientific notation BLM: Comprehension 25. ANS: C PTS: DIF: Level B REF: MALG78 STA: MI.MIGLC.MTH.05.8.N.MR.08.0 TOP: Lesson 8.4 Use Scientific Notation KEY: word scientific notation BLM: Application 26. ANS: D PTS: DIF: Level B REF: MALG83 TOP: Lesson 8.4 Use Scientific Notation KEY: word real-life scientific notation word form BLM: Application 27. ANS: C PTS: DIF: Level B REF: MALG85 STA: MI.MIGLC.MTH L..4 MI.MIGLC.MTH L2..2 MI.MIGLC.MTH A..2 MI.MIGLC.MTH A..6 TOP: Lesson 8.4 Use Scientific Notation KEY: compare word real-life scientific notation BLM: Application 28. ANS: B PTS: DIF: Level A REF: MALG94 TOP: Lesson 8.4 Use Scientific Notation KEY: scientific notation BLM: Application 29. ANS: D PTS: DIF: Level A REF: MALG95 TOP: Lesson 8.4 Use Scientific Notation KEY: scientific notation whole large BLM: Application 3
10 30. ANS: A PTS: DIF: Level B REF: MALG96 TOP: Lesson 8.4 Use Scientific Notation KEY: exponent decimal multiply multiplication power of ten BLM: Comprehension 3. ANS: B PTS: DIF: Level B REF: MALG97 TOP: Lesson 8.4 Use Scientific Notation KEY: word scientific notation divide BLM: Application 32. ANS: C PTS: DIF: Level B REF: MALG0256 TOP: Lesson 8.4 Use Scientific Notation KEY: order scientific notation compare 33. ANS: 7/200 PTS: DIF: Level B REF: MALG87 STA: MI.MIGLC.MTH L2.3.2 TOP: Lesson 8.4 Use Scientific Notation KEY: fraction convert scientific notation BLM: Comprehension 34. ANS: 7.7 PTS: DIF: Level B REF: MALG99 STA: MI.MIGLC.MTH L2.3.2 TOP: Lesson 8.4 Use Scientific Notation KEY: word scientific notation divide BLM: Application 35. ANS: 4 PTS: DIF: Level B REF: MALG0260 TOP: Lesson 8.4 Use Scientific Notation KEY: word order scientific notation 36. ANS: D PTS: DIF: Level B REF: MAL2007 TOP: Lesson 8.5 Write and Graph Exponential Growth Functions KEY: word log compound interest BLM: Application 37. ANS: B PTS: DIF: Level B REF: MAL2020 TOP: Lesson 8.5 Write and Graph Exponential Growth Functions KEY: law of exponents word BLM: Application 38. ANS: D PTS: DIF: Level B REF: MAL2024 TOP: Lesson 8.5 Write and Graph Exponential Growth Functions KEY: word exponential growth BLM: Application 39. ANS: B PTS: DIF: Level B REF: MALG206 STA: MI.MIGLC.MTH.05.8.A.RP.08.0 MI.MIGLC.MTH A3.2. TOP: Lesson 8.6 Write and Graph Exponential Decay Functions KEY: graph exponential function 40. ANS: D PTS: DIF: Level B REF: MALG24 STA: MI.MIGLC.MTH A3.2.5 MI.MIGLC.MTH A2.4. MI.MIGLC.MTH A2.4.2 TOP: Lesson 8.6 Write and Graph Exponential Decay Functions KEY: equation exponential growth decay write 4
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