Maths-
SAT
Easy
Question
If |2x + 3| = 5 and |3y − 3 |= 6, what is one possible value of |xy| ?
The correct answer is: 1,3,4,12
2x + 3 = 5
2x = 5 – 3
2x = 2
x = 1
2x = -5 – 3
2x = -8
x = -4
x = 1 (0r) x = -4
|2 + 3| = 5
|5| = 5
|2 × (-4) + 3| = 5
|-2 × 4 + 3| = 5
|-8 + 3| = 5
|-5| = 5
5 = 5
3y – 3 = 6 (or) 3y – 3 = -6
y – 1 = 2
y = 2 + 1
y = 3
y – 1 = -2
y = -2 + 1
y = -1
y = 3 (or) y = -1
|3 × 3 – 3| = 6
|9 - 3| = 6
|6|=6
|3 × (-1) - 3| = 6
|-3 - 3| = 6
|-6| = 6
6 = 6
y = 3 (or) y = -1
|3| or |-1| or |-4 × 3|or |-4 ×(-1)|
= 3 or 1 or 12 or 4
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