1. WORD PROBLEMS

2. 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

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

4. 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)

5. 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

6. 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)

7. 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 =
n + 4 X 9 = 21 4n
4 + 9n = 21

8. 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

9. 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

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

11. 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

12. 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