Download Chapter 7 Review Worksheet

Algebra 2 Connections
Chapter 7 Review Worksheet
Name _____________________
Date ____________ Period ___
Show ALL work.
1) Solve the following equations algebraically. If necessary, round to the nearest hundredth.
a) 4(7 x )  16  204
b) 4  x 7  16  204
c) log5 ( x  2)  3
d) 8log8 ( x )  64
2) Rewrite the following equation in graphing (vertex) form. Name the vertex of the graph and find the
intercepts.
a) f ( x)  9 x 2  18 x  81
b) f ( x)  2 x 2  10 x  11
3) Sixty years ago, when Sam’s grandfather was a kid, he could buy his friend dinner for $1.50. If that
same dinner now costs $25.25 and inflation occurred at a steady rate, then write an equation that will
give you the cost of the dinner at different times. How much will this dinner cost 40 years from now?
4) For each equation, find two solutions 0    360 , which make the equation true. Do NOT use a calculator!
3
1
a) sin  
b) tan   3
c) cos   
2
2
5) Evaluate the following trigonometric functions. Write your answers using exact values.
 
a) cos 
3
b) cos180
c) sin 135
 5 
d) sin  
 3 
6) Solve the following rational equation:
2 x 1 137
 
5 3
3
7) Complete each of the following parts.
a) Sketch a unit circle that shows 4°.
b) Sketch a unit circle that shows 4 radians.
8) Complete each of the following parts. Leave your answer in exact form and show your work!
3
a) Convert 270° to radians.
b) Convert
radians to degrees.
4
c) Convert 900° to radians.
d) Convert 6 radians to degrees.
9) For each part above, give the coordinates of the point on the unit circle that is associated with given
angle of rotation. Give your answer to parts a, b and c in EXACT form. Part d may be approximated
to the nearest hundredth.
a) _____________
b) ____________
c) _____________
d) _____________
x  y  z  2

10) Solve the following system of equations: 2 x  y  z  1
3x  2 y  5 z  16
