University:
Glendale Community College
Course:
MAT140 | College Mathematics
Academic year:

2021
Views:

75

Pages:

1
Author:

Noah Sandoval

Section 1.1: Algebraic Expressions Chapter 1: Introduction to Algebra The following table will help us translate sentences into algebraic expressions. Addition – key words Added to Sum of Plus More than Increased by Phrase 9 is added to x The sum of y and 4 11 plus y 8 more than z 7 increased by w Translation x+9 y+4 11 + y z+8 7+w Subtraction – key words Subtracted from Difference of Minus Less than Decreased by Phrase 9 subtracted from x The difference of x and 1 8 minus y 10 less than a number z w decreased by 4 Translation x− 9 x −1 8−y z − 10 w–4 Multiplication – key words Multiplied by Times Of Phrase 9 multiplied by x 12 times y One quarter of z Translation 9x (the times sign is implied) 12y Product of Twice The product of 8 and w Twice x Division – key words Quotient of Phrase The quotient of x and 7 Translation 𝑥 𝑥 ÷ 7 𝑜𝑟 7 Divided by 10 divided by y 10 ÷ 𝑦 𝑜𝑟 Divided into 3 divided into z 𝑧 ÷ 3 𝑜𝑟 Ratio of The ratio of 20 to x 20 ÷ 𝑥 𝑜𝑟 Per 25 cookies per b boxes 25 ÷ 𝑏 𝑜𝑟 1 𝑧 8w 2x 4 𝑧 3 10 𝑦 20 𝑥 25 𝑏