Chapter 4_ Sample Exam
Please answer all the questions and show work where appropriate.
1. Solve the system using the graphing method: ⎭
⎬
⎫
−=+−
=+
634
1232
yx
yx
2. Solve the system using the substitution method: ⎭
⎬
⎫
−=+
=+
2218
7
yx
yx
3. Solve the system using the addition method: ⎭
⎬
⎫
=−
−=−
1263
425
yx
yx
4. Solve the following linear systems using any method:
a. ⎭
⎬
⎫
−=
=−
157
21410
xy
yx b. ⎭
⎬
⎫
−=+
=+
662
33
yx
yx
5. Where do 3=x and 2
−
=y cross?
6. Marsha has $4,500 saved up in two different accounts. She has a savings account
earning 2% in annual interest and a CD earning 5% annual interest. How much
does she have in each account if her total interest for the year was $198?
7. The length of a rectangular garden is 3ft less than twice the width. If the perimeter
measures 54ft then what are the dimensions of the garden?
8. Al can row his boat the 30 miles downstream to the general store in 3 hours. The
return trip, against the current, will take him 5 hours. How fast is the river
current?
9. Two angles are supplementary and one angle is °45 less than 4 times the other.
Find the two angles.
10. Graph all solutions to the system of inequalities: ⎭
⎬
⎫
+<−
−≥
22
22
xy
xy
