1-4 Simplifying Algebraic Expressions - Math Slide Show

Lesson 1-4Objective - To evaluate algebraic expressionsand combine like terms.BaseExponent5 3 = 5 • 5 • 5Order of OperationsParenthesis −5 + 7(−6 − 4) 2Exponents−5 + 7(−10) 2Evaluate1. (−7) 4 =( −7)( −7)( −7)( − 7) = 24012. −7 4 = − (7777 i i i ) =−2401Multiply / DivideAdd / Subtract−5 + 7(100)−5 + 700695Evaluate the following if a = 2, b = -3,c = 4, and d = -51) c − d − a 44 − (−5) − (2) 4 = 4 + 5 − 16 = −7−a 2 − b 3 − c 2 − d32)−(2) 2 − (−3) 3 − (4) 2 − (−5) 3 =−4 − (−27) − (16) − (−125) =1323)( )3−a − b 3−2 − −3=−d + c −−5 ( )+ 4 = 259Evaluate the expression for the given values.1. x − 3xy + y 2 for x =−1 and y = 3( −1)− 3( −1) ( 3)+ () 32( −1)+ 9 + 9172. xz 2 + 2z 4 − x 4 for x = 4 and z = −2( 4) ( −2) 2 + 2( −2) 4 − () 4416 + 32 − 64−16Simplify the expressions.1) 4(n 2 − n) − 8(−n − n 2 )4n 2 − 4n + 8n + 8n 212n 2 + 4n2) −5(−2x 3 − x 2 + 3x) + 3(−4x 2 − 2x)10x 3 + 5x 2 − 15x − 12x 2 − 6x10x 3 − 7x 2 − 21xSimplify the expressions.1) 6(2x 2 + x 3 ) − 3(−2x 2 − 5x 3 )12x 2 + 6x 3 + 6x 2 + 15x 318x 2 + 21x 32) −5(−2x 3 − x 2 + 3x) + 3(−4x 2 − 2x)10x 3 + 5x 2 − 15x − 12x 2 − 6x10x 3 − 7x 2 − 21xAlgebra 2 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2010

Lesson 1-4 (cont.)Translate each sentence into a mathematicalequation or inequality.1) Eight less than twice the sum of four and yis the same as 19.2(4 + y) - 8 = 192) Six more than x is more than twice thedifference of x and 7.x + 6 > 2(x -7)3) The quotient of m and 3 is six less than theproduct of 10 and m.m 3 = 10m -64) Five less than x is less than five less x.x -5 < 5 - xYou want to purchase apples and oranges for 20friends. Apples cost 30 cents and oranges cost 20cents. Write an expression for the total amountthat you would spend.Apple price = .30 Orange price = .20# of apples = n # of oranges = 20 - nTotal = .30n + .20(20 - n)Total = .30n + 4 - .20nTotal = .10n + 4Algebra 2 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2010