Unit 1 > Functions, Systems, and Equations Practice ......Unit 1 > Functions, Systems, and...

!Name:!____________________________________________!

Unit 1 > Functions, Systems, and Equations Practice Problems

Lesson 2: Multivariable Functions I can write and solve two-variable linear functions where the variables are

represented by direct and inverse variation. !

Directions:!Please!complete!the!necessary!problems!to!earn!a!maximum!of!40!points!according!to!the!chart!below.!Show!all!of!your!work!clearly!and!neatly!for!credit!–!which!will!be!earned!based!

on!completion!rather!than!correctness.!!

Investigation! Practice!Problem!Options! Maximum!Points!Investigation!1:!Combining!Direct!and!Inverse!Functions! #1,!2,!3,!4,!5,!7,!11,!12! 20!points!

Investigation!2:!Linear!Functions!and!Equations! #6,!8,!9,!10,!13,!14! 20!points!!1.! !!(a=2pts!//!b!=!2pts!//!c=2pts!//!d=2pts)!

!!!!!!!!!!!!!!!!

2.! !(a=1pt!//!b!=!1pt!//!c!=!2pts)!

!!!!!!!!!!

3.! (a=2pts!//!b=2pts!//!c=2pts)!!

!

!!!!

!

4.! !(a=2pts!//!b=2pts!//!c=2pts!//!d=2pts!//!e=3pts)!

!!!!!!!!!!!!!!!

5.! !(a=1pt!//!b=1pt!//!c=2pts!//!d=2pts!//!e=1pt)!

!!!!!!

6.! !(a=1pt!//!b=2pts!//!c=1pt!//!d=3pts!//!e=3pts)!

!!!!!!!!!!!!!

7.! !(a=1pt!//!b=1pt!//!c=2pts!//!d=2pts!//!e=1pt)!

!

!!!!!!!!!!!!!!!!!!!

8.! !(ai=1pt!//!aii=1pt!//!aiii=2pts!//!b=4pts!//!c=1pt)!

!

!!!!!!!!!!!!!!!!!!!!!!!

9.! !(3pts)!Find!three!specific!solutions!of!the!linear!equation!3x!–!2y!=!12.!Then!graph!the!full!solution!set!of!this!equation.!!!!!!!!!!!!!!!!!!!!!

10.!(a=2pts!//!b=3pts!//!c=3pts)!!

!!!!!!!!!!!!!!

!!!!!!!!!!

11.! !(a=2pts!//!b=2pts!//!c=1pt)!

!!!!!!!!!!!

12.! !(a=3pts!//!b=3pts!//!c=4pts)!

!

!!!!!!!!!!!!!

13.! !(a=3pts!//!b=3pts!//!c=3pts!//!d=4pts)!

!!

!!!!!!!!!!!!!!!!!!!

!!14.! !(a=4pts!//!b=2pts!//!c=2pts!//!d=1pt!//!e=2pts)!

!!!