WORD PROBLEMS Translating English phrases with Mathematical operations

WORD PROBLEMS

Translating English phrases with Mathematical operations • “A number n increased by 3” 3 n+3 • “Three less than a number y” y– 3 • “Two times the sum of a number x and 3” 2(x+3) • “Twelve divided by a number p” • “A number y exceeds two times a number x by 5” y = 2 x + 5 • “The sum of a number x and 3 is at least 7” x +3 ≥ 7 • “When 2 is subtracted from a number n, the difference is at most 5” n– 2≤ 5

LESS, LESS THAN, & IS LESS THAN •

Easy Practice Time 1. 5 is less than x. 2. A number p is increased by 7 P+7 3. A number y exceeds 3 times a number x Y = 3 x + 2 by 2 3 – 10 = -7 4. 10 less than 3 is how much? 5 (x + 10) 5. 5 times the sum of a number x and 10

SAT format Practice Time 1. Carl has 7 fewer than twice the number of course credits that Steve has 5 more credits than Gary. If Gary has 8 course credits, how many does Carl have? A. 6 B. 19 C. 29 D. 27 E. 33

SAT format Practice Time 2. Which of the following expressions represents the phrase “ 3 less than 2 times x”? A. 3 – 2 x B. 2 – 3 x C. 3 x – 2 D. 2 x – 3 E. 2 (3 – x)

SAT format Practice Time 3. When 4 times a number n is increased by 9, the result is 21. Which of the following equations represents the statement above? A. 4 (n+9) = 21 B. 4 n = 9 + 21 C. n + 4 X 9 = 21 D. 4 n + 9 - 21 E. 4 + 9 n = 21

SAT format Practice Time 4. If x – 4 is 2 greater than y + 1, then by how much is x + 6 greater than y? A. 7 B. 8 C. 13 D. 14 E. 15

SAT format Practice Time 5. When 3 is subtracted from 5 times a number n, the result is 27. Which of the following equations represents the statement above? A. 5 n – 3 = 27 B. 3 n – 5 = 27 C. 5 (n – 3) = 27 D. 3 (n – 5) = 27 E. 3 – 5 n = 27

SAT format Practice Time •

SAT format Practice Time 7. Susan weighs P pounds. If Susan gains 17 pounds, she will weigh as much as Carol, who weighs 8 pounds less than Judy. If Judy weighs X pounds, then Susan’s weight, p, in terms of x is? A. X – 25 B. X – 9 C. X + 9 D. 17 X - 8 E. X + 25

SAT format Practice Time •