2 2 Translating Words into Symbols Expressions and

2: 2 Translating Words into Symbols, Expressions, and Equations Objective - To translate English words, phrases, and sentences into _ mathematical symbols, expressions, and equations respectively. + plus add increased by sum total more than minus times divide subtract multiply quotient decreased by product diminished by …of. . . difference twice ( 2) less than subtracted from 1 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Tricky Ones! 5 plus x 5+x add 5 and x 5+x the sum of 5 and x 5+x 5 increased by x 5+x 5 more than x x+5 5 is more than x 5>x 2 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Tricky Ones! 5 minus x 5 -x 5 less x 5 -x the difference of 5 and x 5 -x 5 decreased by x 5 -x 5 less than x x-5 5 subtracted from x x-5 5 is less than x 5<x 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Translate each phrase into a mathematical expression. 1) 5 subtract x 5 -x 2) the product of 10 and y 10 y 3) 20 decreased by a number t 20 - t 4) 6 added to the product of 11 and m 5) the quotient of y and 9 6) 8 less than 7 times k y 11 m + 6 9 7 k - 8 4 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

A special word in each column refers not to the operation itself but the outcome of the operation. + plus add increased by sum total more than _ minus subtract decreased by diminished by difference less than subtracted from times divide multiply quotient product …of. . . twice ( 2) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series 5

Translate each phrase into a mathematical expression. 1) six less than twice a number x 2 x - 6 2) five times the sum of y and 4 5(y + 4) 3) twice the difference of m and 3 2(m - 3) 4) the quotient of 7 and a number x less 2 7 x-2 5) the difference of 6 and k divided by 9 (6 - k) 9 6) 4 times the sum of 12 and y 4(12 + y) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series 6

Translate each sentence into a mathematical equation or inequality. 1) Eight less than twice the sum of four and y is the same as 19. 2(4 + y) - 8 = 19 2) Six more than x is more than twice the difference of x and 7. x + 6 > 2(x - 7) 3) The quotient of m and 3 is six less than the product of 10 and m. m 3 = 10 m - 6 4) Five less than x is less than five less x. x-5<5 -x Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series 7