WORD PROBLEMS.

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Presentation transcript:

WORD PROBLEMS

Translating English phrases with Mathematical operations “A number n increased by 3” “Three less than a number y” “Two times the sum of a number x and 3” “Twelve divided by a number p” “A number y exceeds two times a number x by 5” “The sum of a number x and 3 is at least 7” “When 2 is subtracted from a number n, the difference is at most 5” y – 3 2(x+3) 𝟏𝟐 𝒑 y = 2x + 5 x +3 ≥ 7 n – 2 ≤ 5

LESS, LESS THAN, & IS LESS THAN x less y : x – y x less than y : y – x x is less than y : x < y

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

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

SAT format Practice Time Which of the following expressions represents the phrase “3 less than 2 times x”? 3 – 2x 2 – 3x 3x – 2 2x – 3 2 (3 – x)

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

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

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

SAT format Practice Time If 1 3 of a number is 4 less than 1 2 of the number, the number is? 12 18 24 30 36

SAT format Practice Time 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? X – 25 X – 9 X + 9 17X - 8 X + 25

SAT format Practice Time When 2 times a number n is decreased by 5, the result is at least 11. Which of the following equations represents the statement above? 2 (n- 5) ≥11 2n – 5 ≤11 2n – 5 ≥ 11 2n – 5 = 11 2 (n-5) ≤ 11