Algebra 1 Chapter 8 Practice Test

Transcription

1 Name: Class: Date: ID: A Algebra Chapter 8 Practice Test Simplify the expression.. ( 2.7) 0 a. 0 b. c. d (4) 2 a k 8 k 5. (k 2 ) b. 6 c. 6 d. 8 a. 6 7 b c. d. 2 7 a. 5k 24 b. 5k c. 6k d. 6k 24 a. k 6 b. 2k 8 c. k 6 d. k 8 x ˆ 4 2 a. a x 4 ˆ b. 6x 4 c. b Evaluate 9x 2 y 2 for x = and y = 2. a. 24 b Write the number in scientific notation. 9. 8,670,000, c. 2x d. d. c. 9 ( 6) 0 d. 8x a b c d Write the number in standard notation. a. 9,000 b c. 90,000 d. 60

2 Name: ID: A Simplify the expression. Write the answer using scientific notation ˆ a b c d Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is.6 light-years from Earth. In scientific notation, how many miles away is it? a miles c miles b miles d miles. Last year a large trucking company delivered tons of goods with an average value of $0,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation. a dollars c dollars b dollars d dollars 4. Radio signals travel at a rate of 0 8 meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of the Earth if the satellite is orbiting at a height of meters? a. 8. seconds c seconds b..2 0 seconds d seconds Evaluate the function rule for the given value. 5. y = 5 x for x = 5 a. b c. 5 9 d Suppose a population of 250 crickets doubles in size every 6 months. How many crickets will there be after 2 years? a. 4,000 crickets c. 2,000 crickets b. 6,000 crickets d.,000 crickets 2

3 Name: ID: A Match the function rule with the graph of the function. 7. y = 0 x a. c. b. d. Find the balance in the account. 8. $,800 principal earning 2%, compounded quarterly, after 7 years a. $4,69.52 c. $64, b. $4,65.0 d. $08, Suppose the population of a town is 2,700 and is growing 4% each year. a. Write an equation to model the population growth. b. Predict the population after 2 years. 20. Simplify. Show your work. (m n 4 ) 2 (2m n 5 ) 4

4 ID: A Algebra Chapter 8 Practice Test Answer Section. ANS: C PTS: DIF: L REF: 8- Zero and Negative Exponents OBJ: 8-. Zero and Negative Exponents STA: CAT5.LV9.50 CAT5.LV9.5 CAT5.LV9.52 IT.LV5.CP IT.LV5.PS S9.TSK.NS S0.TSK.NS TV.LV9.0 TV.LV9.52 TV.LVALG.5 TOP: 8- Example KEY: zero as an exponent negative exponent simplfying a power 2. ANS: C PTS: DIF: L REF: 8- Zero and Negative Exponents OBJ: 8-. Zero and Negative Exponents STA: CAT5.LV9.50 CAT5.LV9.5 CAT5.LV9.52 IT.LV5.CP IT.LV5.PS S9.TSK.NS S0.TSK.NS TV.LV9.0 TV.LV9.52 TV.LVALG.5 TOP: 8- Example KEY: zero as an exponent negative exponent simplfying a power. ANS: D PTS: DIF: L REF: 8- Mulitplication Properties of Exponents OBJ: 8-. Multiplying Powers TOP: 8- Example KEY: multiplying powers with the same base exponential expression simplifying an exponential expression 4. ANS: C PTS: DIF: L REF: 8- Mulitplication Properties of Exponents OBJ: 8-. Multiplying Powers TOP: 8- Example 2 KEY: exponential expression simplifying an exponential expression multiplying powers with the same base 5. ANS: D PTS: DIF: L REF: 8-4 More Multiplication Properties of Exponents OBJ: 8-4. Raising a Power to a Power TOP: 8-4 Example KEY: raising a power to a power exponential expression simplifying an exponential expression 6. ANS: A PTS: DIF: L REF: 8-5 Division Properties of Exponents OBJ: Raising a Quotient to a Power TOP: 8-5 Example KEY: raising a quotient to a power exponential expression 7. ANS: A PTS: DIF: L REF: 8-5 Division Properties of Exponents OBJ: Raising a Quotient to a Power TOP: 8-5 Example KEY: raising a quotient to a power exponential expression

5 ID: A 8. ANS: B PTS: DIF: L REF: 8- Zero and Negative Exponents OBJ: 8-.2 Evaluating Exponential Expressions STA: CAT5.LV9.50 CAT5.LV9.5 CAT5.LV9.52 IT.LV5.CP IT.LV5.PS S9.TSK.NS S0.TSK.NS TV.LV9.0 TV.LV9.52 TV.LVALG.5 TOP: 8- Example KEY: negative exponent simplifying an exponential expression evaluating exponential expression 9. ANS: C PTS: DIF: L REF: 8-2 Scientific Notation OBJ: 8-2. Writing Numbers in Scientific and Standard Notations STA: NAEP Nd NAEP Nf CAT5.LV9.50 CAT5.LV9.5 IT.LV5.CP IT.LV5.DP S9.TSK.NS TOP: 8-2 Example 2 KEY: scientific notation 0. ANS: C PTS: DIF: L REF: 8-2 Scientific Notation OBJ: 8-2. Writing Numbers in Scientific and Standard Notations STA: NAEP Nd NAEP Nf CAT5.LV9.50 CAT5.LV9.5 IT.LV5.CP IT.LV5.DP S9.TSK.NS TOP: 8-2 Example KEY: scientific notation standard notation. ANS: C PTS: DIF: L REF: 8-2 Scientific Notation OBJ: Using Scientific Notation STA: NAEP Nd NAEP Nf CAT5.LV9.50 CAT5.LV9.5 IT.LV5.CP IT.LV5.DP S9.TSK.NS TOP: 8-2 Example 6 KEY: scientific notation multiply a number using scientific notation 2. ANS: C PTS: DIF: L2 REF: 8-2 Scientific Notation OBJ: Using Scientific Notation STA: NAEP Nd NAEP Nf CAT5.LV9.50 CAT5.LV9.5 IT.LV5.CP IT.LV5.DP S9.TSK.NS TOP: 8-2 Example 6 KEY: scientific notation multiply a number using scientific notation word problem problem solving. ANS: D PTS: DIF: L2 REF: 8- Mulitplication Properties of Exponents OBJ: 8-.2 Working With Scientific Notation KEY: scientific notation word problem problem solving multiply a number using scientific notation 4. ANS: B PTS: DIF: L2 REF: 8-5 Division Properties of Exponents OBJ: 8-5. Dividing Powers With the Same Base TOP: 8-5 Example 2 KEY: dividing powers with the same base exponential expression scientific notation problem solving word problem 5. ANS: C PTS: DIF: L REF: 8-7 Exponential Functions OBJ: 8-7. Evaluating Exponential Functions STA: NAEP Ae CAT5.LV9.50 CAT5.LV9.54 IT.LV5.PS IT.LV5.AM S9.TSK.NS S0.TSK.NS TV.LV9.52 TV.LVALG.56 TOP: 8-7 Example KEY: exponential function function 2

6 ID: A 6. ANS: A PTS: DIF: L2 REF: 8-7 Exponential Functions OBJ: 8-7. Evaluating Exponential Functions STA: NAEP Ae CAT5.LV9.50 CAT5.LV9.54 IT.LV5.PS IT.LV5.AM S9.TSK.NS S0.TSK.NS TV.LV9.52 TV.LVALG.56 TOP: 8-7 Example 2 KEY: exponential function function problem solving word problem 7. ANS: D PTS: DIF: L REF: 8-7 Exponential Functions OBJ: Graphing Exponential Functions STA: NAEP Ae CAT5.LV9.50 CAT5.LV9.54 IT.LV5.PS IT.LV5.AM S9.TSK.NS S0.TSK.NS TV.LV9.52 TV.LVALG.56 TOP: 8-7 Example KEY: exponential function graphing arithmetic sequence 8. ANS: A PTS: DIF: L REF: 8-8 Exponential Growth and Decay OBJ: 8-8. Exponential Growth STA: NAEP A2h CAT5.LV9.50 CAT5.LV9.54 IT.LV5.PS IT.LV5.AM S9.TSK.NS S0.TSK.NS TV.LV9.8 TV.LV9.52 TV.LVALG.56 TOP: 8-8 Example KEY: exponential growth growth factor problem solving word problem compound interest 9. ANS: y = 2, x ; about 4,2 people PTS: DIF: L REF: 8-8 Exponential Growth and Decay OBJ: 8-8. Exponential Growth STA: NAEP A2h CAT5.LV9.50 CAT5.LV9.54 IT.LV5.PS IT.LV5.AM S9.TSK.NS S0.TSK.NS TV.LV9.8 TV.LV9.52 TV.LVALG.56 TOP: 8-8 Example KEY: exponential growth growth factor problem solving word problem multi-part question 20. ANS: [4] (m n 4 ) 2 (2m n 5 ) 4 = 2 m 2 n m 2 n 20 = ( 2 )(2 4 )m 2 m 2 n 8 n 20 = ( 2 )(2 4 )m 4 n 28 = ˆ 4 9 (6)m n m = 9n 28 [] one computational error [2] incorrect application of a law of exponents OR two computational errors [] more than two computational errors PTS: DIF: L2 REF: 8-4 More Multiplication Properties of Exponents OBJ: Raising a Product to a Power KEY: raising a product to a power exponents multiplying powers with the same base extended response rubric-based question