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

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Presentation transcript:

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

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

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

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.

ANSWERS TO QUESTION #2

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.

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

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

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

QUESTION #5 You own a car that presently is 40 months old. The “Blue Book” value of your car is $3300. From an old Blue Book you find the trade in value of the car 10 months ago was $4700. 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).

ANSWER TO QUESTION #5 y = -140x + 8900

QUESTION #6 Ok, so the equation is y = -140x + 8900. In a detailed manner, write the meaning of the slope y-intercept

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

QUESTION #7 Graph.

ANSWER TO QUESTION #7

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?

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

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

ANSWERS TO QUESTION #9 dependent independent

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

S O L U T I N