Chapter 7-8 Review Problems

AlglA/Geometry - Chapter 7/8 Review Problems

Name:

Do all work on a separatesheetof paper.

Date:

iraph andcheckto solvethe linearsystems: , !*x=6 l'y -* = 8

8Y=14x+40 't'rr=2 o 4 x+1 6

Per:

Usesubstitution to solvethelinearsystems: ll a"*!=, o 5g+4h=-9 4'

l- n=o

x-v= -

3

.I

Use linear combinations to solve the systemof equations. 1 3 x+/=12 -

t lrr=o'i-ro

' i::,'::

Solve the linear system using the methodof your choice. _ 5 x-/= 12 7. l 6 -5 x= - !

8

4x+6y=l$

- 3y= -2x+ 30 9. 2y= 4x+ 20

9+2x=3y

Graphthe systemof linear inequalities. 10.

xl v< 2 y>5 x - 1

1 1 .8 x + y > 1 8 ;y > 0 ;x > 0

12. Plot the points(-6,3),(0,3),(-6,0) and draw line segmentsconnectingthe pointsto createa triangle.Then rvritea systemof linear inequalitiesthat definesthe triangularregion.

13. During a 3 hour hike, you lvalk part of the time at a speedof 4 miles per hour andjog at a speedof 6 miles per hour. If you hiked a total of 13 miles, horv much time did you spendwalking and how much time jogging? Write a system and then solve.

14. Your truck requiresa specialmixture of regular and premium gasoline.You fill the tank with l0 gallons of regular and 8 gallonsof premium gasolineat a total cost of $34.00. Premium gasolinecosts$.20 more per gallon than regular.What is the cost per gallon of each type of gasoline?Write a systemand then solve.

Simplify. Final anslvershould not have any negativeexponents. r

^.r3 ts. \-Snfn')

s. (-t o . t ' ) '

(t

\- 2

rc. lla3I \2

/

t t. (tx2y')o('r)-' \ ' t Vt

zo(zn)-'z(+,)-' ,,(#f)"(#)'

18.[(2x-3y)'l Lw t )

- (#)'(#)^