University:
Glendale Community College
Course:
MAT142 | College Mathematics
Academic year:

2021
Views:

282

Pages:

24
Author:

Lilly Hardy

Chapter 4 Practice Test Radical Operations #1-2: Add 1) (7𝑥 + 5) + (2𝑥 – 6) 2) (7𝑥 2 + 8𝑥 – 4) + (−2𝑥 2 – 6𝑥 + 1) Chapter 4: Polynomial and #3 – 4: Subtract 3) (5𝑥 2 – 2𝑥 – 5) – (7𝑥 2 + 4𝑥 – 2) 4) ( 2𝑥 2 𝑦 + 8𝑥𝑦 + 3) – ( – 3𝑥 2 𝑦 + 4𝑥𝑦 – 3) #5 - 6 Let 𝑓(𝑥) = 2𝑥 2 + 𝑥 − 5 𝑎𝑛𝑑 𝑔(𝑥) = 4𝑥 2 − 3𝑥 + 2. Find each function. 5) (𝑓 + 𝑔)(1) 6) (𝑔 − 𝑓)(−3) #7-20: Simplify the expression. 7) 𝑥 4 𝑥 2 𝑥 8) 𝑏8 𝑏3 9) (3𝑏 2 )4 10) (−2𝑥 3 𝑦)3 11) 6𝑦 12 12𝑦8 12) (8𝑥 2 𝑦 5 )(5𝑥 4 𝑦 3 ) 13) 5𝑥 −4 3𝑥 3 −2 14) ( ) 4𝑦 15) 24𝑧 3 12𝑧 7 16) 𝑥 6𝑦2 𝑥 5𝑦3 17) −70 18) (−7)0 19) 4𝑥 0 20) (−3𝑥 )0 21) Multiply: 3𝑥(5𝑥 + 2) 22) Multiply the following binomial using FOIL, write the answer in descending order (3𝑥 – 7)(4𝑥 + 5) 23) Simplify the perfect square binomial. (3𝑥 + 4)2 24) 𝑓(𝑥 ) = 𝑥 + 6 𝑔(𝑥 ) = 2𝑥 + 1 a) Find 𝑓(𝑥 )𝑔(𝑥) b) 𝑓(2)𝑔(3) #25 - 26: Simplify the expressions. Assume all variables are positive real numbers, so no absolute values will be needed in any of the answers. 4 25) √16𝑧 4 26) √ 9𝑥 2 49𝑦 4 #27 - 30: Write the expression using positive exponents and radical notation, then simplify. 27) 84⁄3 28) 8−4⁄3 16 3⁄2 29) ( ) 25 16 −3⁄2 30) ( ) 25 #31 - 33: Simplify the expression using the properties of rational exponents. Write the final answer using positive exponents. 31) 𝑥 7⁄2 𝑥 5⁄2 32) 𝑎8⁄3 𝑎1⁄2 33) (4𝑥 5⁄2 ) 2 #34 - 35: Create a table of values and sketch a graph of the function. You may use your calculator and should round to two decimal places when needed. Use the graph to find the domain and range of the function in interval notation. 34) 𝑓(𝑥 ) = √𝑥 − 4 34) 𝑓(𝑥) = √𝑥 − 4 Domain: [4, ∞) Range [0, ∞) 𝑥 20 13 8 5 4 3 0 𝑓(𝑥) 4 3 2 1 0 𝑁𝑜𝑡 𝑟𝑒𝑎𝑙 𝑁𝑜𝑡 𝑟𝑒𝑎𝑙 #34 - 35: Create a table of values and sketch a graph of the function. You may use your calculator and should round to two decimal places when needed. Use the graph to find the domain and range of the function in interval notation. 3 35) 𝑓(𝑥 ) = √𝑥 − 4 35) 3 𝑓(𝑥) = √𝑥 − 4 Domain (−∞, ∞) Range (−∞, ∞) 𝑥 𝑓(𝑥) 68 4 31 3 12 2 5 1 4 0 3 −1 −4 −2 −23 −3 #36 - 41: Simplify the radicals. 36) √40 3 37) √108 4 38) 5 √240 3 39) √𝑏 5 40) √150𝑎3 𝑏 2 𝑐 41) 3√50𝑥𝑦 5 41) Multiply (2𝑖)(−3𝑖) #42 - 46: Simplify the expressions. 42) 5√−49 43) 5√−32 44) 45) −6+√42 −8(7)(1) 2(1) −10−√(−4)2 −64 2(2)