Algebra II – Guarantee Review

End of Year – Final Exam

There are printable practice worksheets and answer keys to work on. BEWARE THAT MANY OF THEM CONTAIN MANY PAGES OF PRACTICE!!!

 

Guarantees, Chapter 1

1. Given two points or a point and the slope, write an equation for a line. 1.1 Practice 1.1 Answers
2. Given a direct, inverse, combined or joint variation. Solve for a given variable. 1.2 Practice 1.2 Answers
3. Write, solve, and graph linear inequalities. 1.3 Practice 1.3 Answers

G1.1	Write the equation for the line containing (5,7) and (-4,-2)
G1.1	Write the equation for a line containing (4,3) with slope -6
G1.2	y varies directly as x. When x is 2, y is 20. Find y when x is 8
G1.2	y varies inversely as x. When x is 3, y is 18. Find y when x is 8.
G1.2	y varies directly as x and inversely as z. When x is 5, and z is 7 y is 35. Find y when x is 20 and z is 5.
G1.3	Solve 4x -3 =38
G1.3	Solve and graph 2x - 4 < 22
G1.3	Solve and graph
G1.3	Solve and graph

 

 

 

 

 

 

Guarantees, Chapter 2

1. Simplify and evaluate expressions involving exponents 2.1 Practice 2.1 Answers
2. Add, subtract, multiply, divide and compose functions 2.2 Practice 2.2 Answers
3. Find the inverse of a function 2.3 Practice 2.3 Answers

G2.1	Evaluate or simplify. Assume that no variable equals zero. Your answer should only contain positive exponents.
G2.1	Evaluate or simplify. Assume that no variable equals zero. Your answer should only contain positive exponents.
G2.2	; Find f(x) + g(x) and f(x)-g(x)
G2.2	Find the product of f(x) and g(x) and the quotient of f(x) divided by g(x). List any restrictions
G2.2	; Find f(g(x))
G2.3	Find the inverse of f(x)
G2.3	Find the inverse of g(x)
G2.3	Find the inverse of a(x)

 

Guarantees, Chapter 3
1. Solve systems of equations using graphing, substitution, and elimination 3.1 Practice 3.1 Answers
2. Graph linear inequalities 3.2 Practice 3.2 Answers
3. Graph a system of linear inequalities 3.3 Practice 3.3 Answers

G3.1	Solve this system using graphing:
G3.1	Solve this system using substitution
G3.1	Solve this system using elimination
G3.3	Graph:
G3.3	Graph the system of inequalities Label point of intersection :

 

 

 

 

 

 

 

 

 

 

Guarantees, Chapter 4

1. Add or subtract matrices 4.1 Practice 4.1 Answers
2. Multiply matrices 4.2 Practice 4.2 Answers
3. Use matrices to solve a system of equations 4.3 Practice 4.3 Answers

G4.1	2A + 3B =
G4.2	A*B =
G4.3	Use matrices to solve the following system of equations:

 

 

 

 

 

 

 

 

 

 

 

 

Guarantees, Chapter 10

1. Find the theoretical probability of an event 10.1 Practice 10.1 Answers
2. Solve problems involving permutations or combinations. 10.2 Practice 10.2 Answers
3. Find the probability of a mutually exclusive or inclusive event 10.3 Practice 10.3 Answers

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

 

 

 

 

 

Guarantees Chapter 11

1. Find the nth term of an arithmetic or geometric sequence. 11.1 Practice 11.1 Answers

 

2. Find the value of an arithmetic or geometric series. 11.2 Practice 11.2 Answers

 

3.  Find the sum of an infinite geometric series if it exists.  11.3 Practice 11.3 Answers

 

Ex 1.a Find the 25 th term (t­ 25­­­ ) of the following sequence -17, -12, -7, -2, 3, …   Ex 1.b Find the 12 th term (t­ 12­­­ ) of the following sequence 48, 24, 12, 6, 3, …

Ex 2.a Find the sum of the following series 5 + 8 + 11 + 14 + …. + 62 Ex 2.b Find the sum of the first 12 terms (S­ 12 ) in the following series 4 + 12 + 36 + 108 + … Ex 2.c Find the sum of the first 12 terms (S­ 12 ) in the following series 4 + 12 + 20 + 28 + …

Ex 3.a Evaluate 1 + 2 + 4 + 8 + ….   Ex 3.b Evaluate 4 + 3.2 + 2.56 + 2.048 + ….

Guarantees, Chapter 12

1. Given a set of data find the mean, mode, and median 12.1 Practice 12.1 Answers
2. Given a set of data, find the maximum, minimum, range, and quartiles for a set of data. 12.2 Practice 12.2 Answers

G12.1	Find the mean, mode, and median. 35,700;24,700;34,100;35,700;22,900;29,300;28,300
G12.2	Find the minimum, maximum, range, quartiles, and IQR 12,35,22,18,16,21,19,33,7,10,14,28,27,16,13

 

 

 

 

Guarantees, Chapter 5

1. Solve equations by taking square roots 5.1 Practice 5.1 Answers
2. Use the quadratic formula to find the zeros of a quadratic function 5.2 Practice 5.2 Answers
3. Perform operations with complex numbers. 5.3 Practice 5.3 Answers

G5.1	Solve the following
G5.2	Find the zeros using the quadratic formula:
G5.3	Add:

Guarantees, Chapter 6
1. Solve exponential equations 6.1 Practice 6.1 Answers
2. Evaluate logarithms 6.2 Practice 6.2 Answers
3. Use properties of logarithms to simplify and evaluate expressions involving logarithms 6.3 Practice 6.3 Answers

 

G6.1	Solve:
G6.2
G6.3	Write as an expression involving logarithms.

 

 

Guarantees, Chapter 13

1. Using a unit circle, find exact values for sine, cosine, and tangents for special angles 13.1 Practice 13.1 Answers

2. Convert from degrees to radians and vice versa. 13.2 Practice 13.2 Answers

3. Graph trigonometric function and identify their amplitude, period and vertical shift. 13.3 Practice 13.3 Answers

 

 

G13.1 Find the exact value of cosine, sine, and tangent of 120 degrees.

G13.2 Convert 65 degrees to radians

Convert 2.5 radians to degrees

G13.3 Given , identify the amplitude, period and vertical shift.

 

 

G14.1 Use the Law of Sines to find missing sides or angles of triangles. (Practice coming soon.)

G14.2 Use the Law of Cosines to find missing sides or angles of triangles. (Practice coming soon.)