Honors Algebra 2 Guarantees

Guarantees, Chapter 1

1. Given two points or a point and the slope, write an equation for a line.
2. Given a direct variation, write the equation and solve
3. Write, solve, and graph linear inequalities.

G1.1	Write the equation for the line containing (2,8) and -4,-3
G1.1	Write the equation for a line containing (3,-3) with slope (-2/3)
G1.2	y varies directly as x. When x is 2, y is 8. Find y when x is 14.5
G1.2	y varies directly as x. When x is 4, y is 8. Find x when y is 90
G1.3	Solve and graph 4x-25 >15 or 4-3x< -2
G1.3	Solve and graph 4x-5 < 29 and 4-3x< -12

 

 

 

Guarantees, Chapter 2

1. Simplify and evaluate expressions involving exponents
2. Add, subtract, multiply, divide and compose functions
3. Find the inverse of a function

Guarantees, Chapter 3
1. Solve systems of equations using graphing, substitution, and elimination
2. Graph a system of linear inequalities
3. Use linear programming to find the maximum or minimum value of a function

G3.1	Solve this system using graphing: 2x + 10y = -2 6x + 8y = =20
G3.1	Solve this system using substitution ( work must be shown ): Y = 4x -8 14x -10y =28
G3.1	Solve this system using elimination ( work must be shown ): 4x –10y = 2 6x -8y = -4
G3.2	Graph the system of inequalities Label point of intersection : y > 0 x > 0 y> -4x + 6 y < 8x
G3.3	( 3 points ) A company produces windows and doors. A profit of $8 is realized on each window and a profit of $6 on each door. The company has 36 hours available for manufacturing in Plant A. Each window requires 3 hours and each door 2 hours to manufacture. Plant B has 15 hours available for assembly. Each window requires 1.5 hours to assemble and each door requires .75 hours to assemble. Use linear programming to determine how many windows and doors to maximize profit: List equations used: List profit equation: List windows and door to achieve maximum profit Profit:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Chapter 4

1. Add or subtract matrices
2. Multiply matrices
3. Use matrices to solve a system of equations

G4.1	2A + 3B =   A= B=
G4.2	A*B = A = B=
G4.3	Use matrices to solve the following system of equations: 2X + 2Y + Z =-12 2X + 5Y +2Z =10 4X - 5Y -7Z =32

 

 

 

 

 

 

 

 

 

Honors Algebra 2 Guarantees, Chapter 5

1. Find the maximum, minimum, vertex, x and y intercepts of a parabola
2. Use the quadratic formula to solve equations.
3. Add, subtract, multiply, and divide complex numbers.
   
   

   G 5.1	Find all the zeros and the vertex for this function: 6X^2 - 15X + 5
   G5.2	Use the quadratic formula to find the zeros of this function: 10X^ 2+ 2X – 15
   G5.3	Add, subtract,multiply, and dividethe following complex numbers: 4+ 2i and 4-7i

Guarantees, Chapter 10

1. Find the theoretical probability of an event
2. Solve problems involving permutations or combinations.
3. Find the probability of a mutually exclusive or inclusive event

4. G10.1	How many different ways can a basketball coach pick 3 captains from a 15 person squad?
   G10.2	How many ways can 1 st , 2 nd , and 3 rd place be awarded to 20 people?
   G10.3	Given a number cube in one roll, find the probability of rolling an even number or a 3.

 

 

Guarantees, Chapter 6

G4.1	Solve:5^x = 42
G4.2
G4.3	If , give an expression for y that does not involve logarithms.

 

 

 

Guarantees, Chapter 7

1. Factor polynomials.
2. Given a polynomial function, identify local maximums and miniums, and intervals where the function is increasing and decreasing.
3. Find the zeros of a polynomial function.
   
   

   G7.1	Factor: 27X^ 3 - 125
   G7.2	Given the polynomial function f(x) =x 4+x 3 -1 Identify all local maxima and/or minima
   G7.3	Identify all zeros, exactly. F(x) = x 3 -3x 2 +9x -27

   
   

   Chapter 8 Guarantess

1. Solve problems involving inverse, joint or combined variation
2. Add, subtract, multiply, divide and simplify polynomial expressions. 
   3. Solve rational equations
   
   
   

   G8.1	y varies inversely as x . When x is 2, y is 60. Find y when x is 4.
   G8.2	Simplify completely divided by
   G8.3	Solve = 2

Guarantees, Chapter 11