1. Divisibility and Basic Proof

Linear Combinations — Quiz

Test your understanding of linear combinations with 5 practice questions.

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Practice Questions

Question 1

Which expression shows the general form of a linear combination of $a$ and $b$ with integer coefficients?

Question 2

What is the value of the linear combination $3(4)+(-2)(7)$?

Question 3

Which expression equals $19$ as a linear combination of $4$ and $7$?

Question 4

If $d$ divides both $a$ and $b$, what is always true about any linear combination $ma+nb$?

Question 5

Which expression shows $4$ as a linear combination of $8$ and $12$?