Name: ________________________________________ Period: _____________ Date: _____________

College Prep Algebra 2 Chapter 1 Test Part 1: No Calculator

Directions: Fill in the blank with the vocabulary word that best matches the statement. Words from the word bank will only be used once. (??? Points each)

a. absolute value d. evaluate

b. coefficient e. inverse

c. equation f. variable

______ 1. A _______ is a symbol, usually a letter, that represents one or more numbers.

______ 2. To _______ an algebraic expression, substitute a number for each variable in the

expression.

______ 3. A _______ is the numerical factor of a term.

______ 4. A _______ is a statement that two expressions are equal.

______ 5. _______ operations are operations that “undo” each other.

______ 6. A number’s distance from zero on the number line is its _______.

Directions: Write the letter of the correct answer in the space provided to the left of each problem.

______

7. Which expression can be used to find the next term in the sequence 1, 4, 9, 16, …?

a. 2 n

b. n+3

c. n2+1

d. n2

MCAS Potential Questions:

Questions we had last year:9. A worker is taking a box of nails on an elevator. Each box weighs 54 pounds, and the worker weighs 170 pounds. The elevator has a weight limit of 2500 pounds. Which inequality describes the number of boxes b that he can safely take on each trip?

a. 54 b−170 ≤2500

b. 54b+170≤ 2500

c. 54 (b−170)≤ 2500

d. 54 (b+170)≤ 2500

Directions: You must show all your work for each of the problems in this section.12. What are the solutions of |2 x+4|−6=8?

13. What is the value of 4 x2+2 x−1 when x=−3?

14. What is the simplified form of the expression: −8 (a−3 b )+2(−a+4 b+1)?

15. The expression 21+0.5 n describes the length in inches of a baby n months old. How long is the baby at 6 months?

16. Complete the table. Then find the output when the input is n.

17. The first four figures of a pattern are shown. Describe the tenth figure in the pattern.

MCAS Open Response Related to the Current Topic10.N.2

Name: ________________________________________ Period: _____________ Date: _____________

College Prep Algebra 2 Chapter 1 Test Part 2: Calculator Permitted

10.P.1

10.P.6

10.P.6

10.P.6

MCAS Open Response related to the current topic:

Questions that we had last year:

12. Solve the equation 3 (2x+1 )=35.

13. Solve the equation 5 ( x−12 )−24=3 (x+2).

14. Solve the inequality and graph the solution on a number line. 3 x+17≥5

15. Solve the inequality and graph the solution on a number line. 2<10−4 x<6

16. Solve the inequality and graph the solution on a number line. 38

x←6∨5 x>2.

Name: ___________________________________ Date: _________

College Prep Algebra 2 Chapter 2 Post-Test

2013-2014

Multiple Choice (3 points each)Identify the choice that best completes the statement or answers the question.

____ 1. Find the range of the relation {(–2, 3), (–1, 3), (–1, 5)}. Then determine whether the relation is a function.

a. {–2, –1}; function c. {3, 5}; function

b. {–2, –1}; not a function d. {3, 5}; not a function

____ 2. Find f (–1) if f (x) = .

a. –5 b. –3 c. 1 d. 3

____ 3. Write 3y = –1 – 5x in standard form.

a. 5x + 3y = –1 c.y = – x – 1

b. –5x – 3y = –1 d. 3x + 5y – 1 = 0

____ 4. Find the slope of the line that passes through (2, 6) and (–7, 8).

a. b. c. d.

____ 5. What is the slope of the line y = –2?

a. –2 b. 0 c. d. undefined

____ 6. Which equation represents the graph below?

____ 7. Write an equation in slope–intercept form for the line that has a slope of –4 and passes through (1, 2).

a. y = –2x + 4 b. y = –4x + 6 c. y = –4x + 2 d. y = –4x + 9

____ 8. Write an equation in slope intercept–form for the line that passes through (0, 5) and is parallel to the line whose equation is y=4 x−3.

a.y = – x + 5

b. y = 4x – 3 c.y = x + 5

d. y = 4x + 5

____ 9. Which of the following best represents the slope of the line graphed below?

a. −43

b. −34

c. 34

d. 43

____ 10. In which of the following graphs does line h best represent a line with an undefined slope?

Short Answer: You must show work to receive credit. No Work, No Credit! (3 points each)

11. Find the x-intercept and the y-intercept of the graph of 3y = 2x – 6. Write each intercept as an ordered pair.

a. X-intercept: ( , ) (3 points)

b. Y-intercept: ( , ) (3 points)

12. Given the inequality: y 3x + 2

a. Would your line be solid or dashed? Explain why. (2 points)

b. Show how you would use test points to decide where you will shade your graph. (2 points)

c. Graph the inequality. (2 points)

13. A salesperson’s commission varies directly with sales. For $1000 in sales, the commission is $85. What is the commission for $2300 in sales?

14. Determine whether the following lines are parallel, perpendicular or neither.

a. { y=23

x−7

−2 x+3 y=12

b. { y=−15

x+2

−5 x+ y=−3

15. Graph the absolute value equation: y=|x+3|

Essay: Demonstrate your knowledge by giving a clear, concise solution to each problem. Be sure to include all relevant drawings and justify your answers. You may show your solutions in more than one way or investigate beyond the requirements of the problem. (5 points)

16. The point-slope form of the equation of a line is y – 2 = (x + 6). Write the equation in slope-intercept form, then write the equation in standard form. Which of the three forms of the equation is most useful? Explain your choice.

Algebra 2 Statistics Unit

Final Assessment

NON-CALCULATOR SECTION

1. The line plot below shows the area, in square feet, of each studio in an art center.

Area of Studio (in square feet)

What is the mean area of the studios in the art center?

A. 700 square feet

B. 1000 square feet

C. 1050 square feet

D. 1080 square feet

2. The bar graph below shows the area, in square miles, of each town in a county.

What is the median area, in square miles, of the towns in the county?

A. 50

B. 45

C. 40

D. 35

For questions 3-5, use the following set of data.

15, 16, 4, 10, 14, 16, 5, 12

3. What are the range and mode of the data?

A. Range: 12, Mode: 10

B. Range: 12, Mode: 16

C. Range: 16, Mode: 12

D. Range: 11.5, Mode: 16

4. If a new piece of data valued at 18 were added to the data, what would happen to the mean?

A. The mean would increase.

B. The mean would decrease.

C. The mean would stay the same.

D. None of the above

5. Which of the following pieces of data, if added to the above data set, would increase the range of the data to 18?

A. 7

B. 25

C. 10

D. 22

Twenty-eight movie critics rated a new movie on a scale of 1-100. Their responses are recorded in the stem-and-leaf plot below.

6. How many critics rated the movie higher at a 90 or higher?

7. What is the range of the data in the stem-and-leaf plot?

Algebra 2/Geometry Statistics Unit

Final Assessment

CALCULATOR SECTION

8. A teacher recorded the height of each student in a class. The bar graph below shows the height of each student in the class.

Which statement about the data in the graph is TRUE?

A. The mean is greater than the mode.

B. The median is greater than the mean.

C. The median is the middle number on the y-axis (or vertical axis).

D. The mode is the largest number on the x-axis (or horizontal axis).

9. Suzanna surveyed some students to ask them if they would attend the homecoming game. The table below shows the students’ responses.

Which of the following circle graphs (pie charts) best represents the information in the table?

For questions 10-12, use the following set of data:

1.01, 1.03, 1.10, 1.05, 1.02, 1.01, 1.09, 1.18, 1.01

10. What are the median and mode of the data?

A. Median: 1.03, Mode: 1.02

B. Median: 1.03, Mode: 1.01

C. Median: 1.01, Mode: 1.01

D: Median: 1.01, Mode: 1.03

11. What is the range of the data?

12. If the number 0.99 were added to the data, what would happen to the mean?

A. Mean would decrease.

B. Mean would increase.

C. Mean would stay the same.

D. None of the above

13. The table below shows the distances jumped by 7 Olympic gold medalists in the long jump event.

What is the median distance jumped by the athletes?

A. 7.30 meters

B. 7.34 meters

C. 7.51 meters

D. 7.54 meters

14. Which of the following sets of data has a mode of 5, a median of 8.5, and a mean of 13?

A. 5, 5, 6, 7, 8, 10, 10, 10, 11, 12, 13, 39

B. 5, 5, 5, 6, 7, 8, 8, 10, 11, 12, 13, 39

C. 5, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

D. 5, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 39

15. Paul went bowling and recorded his scores for each of his six games in the table below.

What was Paul’s median score for the six games? Show or explain how you got your answer.

What was Paul’s mean score for the six games? Show or explain how you got your answer.

Paul will bowl one more game. What score does Paul need to get in order to have a mean score of 150? Show or explain how you got your answer.

Name: ________________________ 3/5/14Mr. Mare & Mr. Palermo Algebra II

Chapter 3 Test

Multiple Choice (Each question is worth 5 points)Identify the choice that best completes the statement or answers the question.

____ 1. The first equation of the system is multiplied by 3. By what number would you multiply the second equation to eliminate the x variable? 4x – 3y = 6 6x + 1y = 10a. –2 b. 2 c. 9 d. –9

____ 2. Solve the system of equations: 5x + 2y = 1 y = 1 – 3xa. (1, 2) b. (1, -2) c.

(0, )d. (–2, 1)

____ 3. Which coordinate could be a solution to the system of inequalities graphed below?

x≥−2∧2 x+ y≤ 4

a. (6, -1) b. (-6, 1) c. (1, -6) d. (1, 6)

4. The sum of two numbers is 30. The difference of the same two numbers is 6. What are the two numbers?

a. x = 18

y = 12b. x = 20

y = 10c. x = 19

y = 13d. x = 24

y = -6

5. Identify the system of equations that goes along with the following

problem.

The sum of two numbers is 47 and the first number is 3 less than 4 times the second number. Let x = the second number and let y = the first number

a. {4 x+ y=47x= y−3

b. {y=3−4 xx+ y=47

c. {4 x−3 y=47y=x−3

d. { x+ y=474 x−3= y

Short Answer (Each question is worth 10 points): You must show all your work on a separate sheet of paper. No work, no credit. Please write your answers on the answer sheet that has been provided to you.

6. What would the graph look like when you are solving a system of equations and get:

a. one solution

b. no solution

c. infinite solutions

7. Given the system of inequalities: x+ y≥ 2 ,∧ y ≥ 2 x+5, a. Solve both inequalities for y.

b. Graph both inequalities.

c. Shade in the correct solution.

Open Response (Each question is worth 20 points):You must show all your work. No work, no credit.

8. Solve the system of equations: { 2 x+ y+z=43 x− y+4 z=11x− y+5 z=20

Name:___________________________________ Date:__________________

Unit Test on Radicals and Complex Numbers

College Prep Algebra 2

Directions: Fill in the blank with a piece from the bank below that best matches the statement. Each piece will only be used once. Write your answers on the answer sheet that has been provided to you.(1 point each)

d. i2 f. imaginary unita. Complex number e. radicand g. √−1b. radical h. index

________ 1. The symbol, √ , is called the _______________.

________ 2. The ___________ is the quantity under the radical symbol.

________ 3. The __________ defines the root to be taken.

________ 4. _________ consists of a real part and an imaginary part. It is written in the form a+bi .

________ 5. The __________, i, is a complex number whose square is -1.

________ 6. ________ = i

________ 7. ________ = -1

Multiple Choice: Identify the choice that best completes the statement or answers the question.

10. Which of the following is equivalent to the expression: √6+√6?

a. 2√6 b. √12 c. 6 d. 1

11. What is the simplified form of 3√5c • √15 c3?

a. 15c2 √3b. 6c2 √5

c. 5 c2 √3d. 12 c4 √5

12. Which of the following is equivalent to the expression: 9 x2−16 ?

a. (3 x−4 )2

b. (9 x−4 ) (9 x+4 )

c. (3 x−8 ) (3 x+8 )

d. (3 x−4 ) (3 x+4 )

13. What is the simplified form of 8 3√5− 3√40−2 3√135 ?

a. 16 3√5 b. 12 3√5 c. 4 3√5 d. 0

14. What is the simplified form of √5 x√12

?

a. √156

b. 5x12 c. √25 x2

√144 d. √60 x

√144

15. What is the simplified form of (√2+√7 ) (√2−√7 ) ?

a. 9+2√14 b. 9−2√14 c. −5 d. 9

16. Which radical expression is in simplified form?

a.11 y√3

b. √65 y

c. √17√4

d. √ 2581

17. What is the simplified form of (−5 i ) (−3 i ) ?

a. −15 i b. −15 c. 15 d. 15 i

18. What is the simplified form of (5+6 i )−(−4−7i)?

a. 9−13 i b. 9+85i c. 1−i d. 9+13 i

19. What is the simplified form of (8−3 i )2 ?

a. 73 b. 16−6 i c. 55−48 i d. 55+48i

20. Factor completely: 12 x2−75

a. Primeb. 3(4 x2−25)

c. (2 x+5 )(2 x−5)d. 3 (2x+5 )(2x−5)

21. Factor completely: x2+9 x+14

a. ( x+7 )(x+2)b. ( x−7 )(x−2)

c. ( x+7 )(x−2)d. ( x−7 )(x+2)

22. Factor Complete: 2 x2−x−6

a. (3 x+2 ) ( x−2 )b. (2 x+3 ) ( x−2 )c. (2 x−3 ) ( x+2 )d. (3 x−2 )(x+2)

Short Answer: You must show work to receive credit! No Work, No Credit!

23. Simplify: 11√7 ∙3√14 x2 y3

24. Simplify: √8(4+√5)

25. Simplify: 14√150

7√2

26. Simplify: 2 (3−7 i )+i (−4+5i )

27. Explain why you can take the cube root of a negative number and cannot take the square root of a negative number. Show an example if needed to support your answer.

Open Response: Show all work! No Work, No Credit!

28. Your friend completed the problem below but made a mistake in the process. Your task is to:

a. Find the mistake and circle it.

b. Explain why it is wrong.

c. Redo the problem correctly, showing all your work.