Which of the following expressions is equivalent to?
Answer(s): E
An absolute value means that the sign of the variable is insignificant, therefore X can be between –4 and 4 and still he will fulfill the original equation.
Which of the following statements is equivalent to (8 + 2X < 18 – 6X < 23 + 2X)?
Answer(s): C
Take the expression and simplify it: Take (8 + 2x) from each side to get: (0<10 – 8X<15). Substitute 10, -10<-8X<5. Divide all by (-8), 5/4 > X > -5/8. Therefore, the answer is C.
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
Answer(s): D
Use the group formula.Total = groupA + groupB – Both + Neither. Total = 312 + 232 – 112 + 0 = 432 students.
In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
Use the group formula.Total = groupA + groupB – Both + Neither.Total = 226 + 423 – 134 + 0 = 515 second year students.The second year students are 80% of the total amount, therefore (515/80 x 100 = 643.75). The best answer is D.
In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn’t do both, What is X equal to?
Use the group formula.Total = groupA + groupB – Both + Neither. Total = 32 + 45 – 13 + 9 = 73 graduates.
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