Free SAT Practice Questions

Question 1 of 1
ID: SAT-ATIM-9
Section: Math - Additional Topics in Math
Topics: Trigonometry; Conversion
Difficulty level: Medium

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If $\left(3-2i\right)\left(3-i\right)\left(2+i\right)=a+ib$, where a and b are real numbers and the imaginary number $i$ is such that $i^2=-1$, what is the value of $\left(2a+3b\right)$? (without calculator)

Numeric Answer:

General Hint: Enter the answer as an integer or a decimal in a single answer box. If two answer boxes are given, enter the answer as a fraction, with one box being the numerator and the other being the denominator. Read carefully whether the answer should rounded and make sure you round to the required degree of accuracy. Do not enter any symbols or characters in the box(es) provided.