Download Unit 3 Test Review Packet

Alg 2: Unit 3 Test Review Day 1
Name: ______________________ Pd: ____
Determine if the following has One Solution, No Solution, or Infinite Solutions. Show work to
support the answer (Compare slopes and y-intercepts).
1. 2x + 2y = 6
2. 1
3. y = 2x - 3
x

y

9
x +y=4
y = -2x - 3
3
y  3x  2
Line 1 slope: _______
Line 2 slope: _______
Line 1 y-int: _______
Line 2 y-int: _______
Line 1 slope: ___________
Line 2 slope: ___________
Line 1 y-int: ___________
Line 2 y-int: ___________
Line 1 slope: _________
Line 2 slope: _________
Line 1 y-int: __________
Line 2 y-int: __________
Solution: One/None/Infinite
circle one
Solution: One/None/Infinite
circle one
Solution: One/None/Infinite
circle one
Graph the following system of equations and state the solution. Put equations into y= mx + b format
to show slope and Y-Intercept before graphing.
4. 3x + 4y = 4
-2x – y = 10
Solution: ______________________
5.
y  x  6
y  3x  2
Solution: ___________________
Graph the following inequalities and shade the final solution area:
6.
x3
7.
y  3
3x  y  10
2 y  2 x  8
8. For each graph below, explain how each solution is related to the slopes and y-intercepts of the
system of equations.
9. Write a matrix equation for each system of equations below. DO NOT Solve!
2 x  y  12
a.
3 y  4 z  3
x  y  2 z  10
b.
2x  3y  8
 x  3 y  2
10. Solve the following equation:
4 
11. Solve the following inequality and graph it:
2
x8
3
12. Solve the following equation:
3( x  4)  3x  6
2(3x  1)  3x  5  (2 x  3)  x
13. Graph the following transformation: Write the domain and range of the transformed graph in
both interval and inequality notation.
y   | x  3 | 1
Domain: (INT) ___________ (INQ) ___________
Range:
(INT) ___________ (INQ) ___________
14. Write the equation for the following graph by identifying the transformations:
Parent Function:____________________
Transformations: __________________
_________________________________
Equation: ________________________
15. If spring pressure (p) and coil size (c) are inversely related and a spring has 23 ft-lbs pressure
when there are 8 coils, what will the pressure be if there are 18 coils in the spring?
16. Graph the following system of inequalities on the grid at the right.
-2x + y > -2
3x – 2y < 12
Y<5