1. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 1-2@
REVIEW FOR TEST 1-2

2. QUESTION #1 Graph the piece-wise function given the domain.
f(x) = -x – 4 for -5 < x < -2
-2 for -2 < x < 2
x – 4 for 2 < x < 5

3. ANSWER TO QUESTION #1 1 -5 -2 -2

4. QUESTION #2
Given the parent graph Make one change in the parent graph to… (write the equation only)
shift the graph horizontally to the left 5 units.
shift the graph up 6 units.
stretch the graph by a factor of 12.

5. ANSWERS TO QUESTION #2

6. QUESTION #3
Given the parent graph y = x2. Make one change in the parent graph to…
compress the graph by a factor of .
b) reflect the graph over the x-axis.
c) shift the graph horizontally to the right 3 units and down 7 units.

7. ANSWERS TO QUESTION #3
y = (2/5)x2
y = -x2
y = (x - 3)2 - 7

8. QUESTION #4
Solve.
4x – 3y = -6
x + 7y = -17

9. ANSWER TO QUESTION #4
(-3, -2)

10. QUESTION #5
You own a car that presently is 40 months old. The “Blue Book” value of your car is $ From an old Blue Book you find the trade in value of the car 10 months ago was $ Assume that its trade-in value decreases linearly with time.
Write an equation in Slope-Intercept Form expressing the value of the car (y) as a function of time in months (x).

11. ANSWER TO QUESTION #5
y = -140x

12. QUESTION #6
Ok, so the equation is y = -140x In a detailed manner, write the meaning of the
slope
y-intercept

13. The original value of the car.
ANSWERS TO QUESTION #6
The car decreases in value $140 per month.
The original value of the car.

14. QUESTION #7
Graph.

15. ANSWER TO QUESTION #7

16. QUESTION #8
One evening, 76 people gathered to play singles and doubles table tennis (ping pong). There were 26 games in progress at one time involving all 76 people. A doubles games requires 4 people and a singles game requires 2 people.
a) Allow d = # doubles games and s = # singles games. Write a system of equations illustrating this information.
b) How many games of each type were in
progress at that time?

17. 2s + 4d = 76 b + d = 26 b) singles games : 14 doubles games : 12
ANSWERS TO QUESTION #8
2s + 4d = 76
b + d = 26
b) singles games : 14
doubles games : 12

18. ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 1-2
QUESTION #9
Classify as inconsistent, dependent, or independent.
a) 2x + 3y = 12
5x – 6y = 19
8x + 7y = 11

19. ANSWERS TO QUESTION #9
dependent
independent

20. STUDY : *Piecewise functions *Families of graphs *Systems of
equations and
inequalities

21. S O L U T I N