alg1 chaptertests with answers

Algebra 1, Chapter 2 Test Form A Name__________________________ Pd____

Multiple Choice (1 point each)

Identify the choice that best completes the statement or answers the question. Write your answer in the blank at the left.

____ 1.) Translate the following sentence into an equation.

The sum of twice a number x and 13 is two less than three times x. 33 a. 2(x + 13) + 3x – 2 c. 2x + 13 = 3x – 2

b. 2x + 13 = 2 – 3x d. 2x + 13 = 3(x – 2)

____ 2.) Translate the following equation into a verbal sentence.

3x – y = 5(y + 2x)

a. Three times the difference of x and y equals five times the sum of y and two times x.

b. Three times x less than y is five times y plus two times x.

c. The sum of three times x and y is five times y plus two times x.

d. Three times x minus y is five times the sum of y and two times x.

____ 3.) Solve 5x + 3 = 23. SHOW YOUR PROCESS AND Write your answer in the blank at the left.

a. 4 b. 5 !! c. 15

d. 25

____ 4.) Solve | 3r – 6 | = 21. SHOW YOUR PROCESS AND Write your answer in the blank at the left.

a. {5, –5} b. {9, –9} c. {9, –5} d. no solution

____ 5.) Solve y = ax + b for x. SHOW YOUR PROCESS AND Write your answer in the blank at the left.

a. x = !! b. x = !!!

! c. x = y - !

! d. x= !!!

! 5

Short Answer SHOW YOUR WORK FOR THE REMAINDER OF THE TEST!

6.) (2pts) Translate the following sentence into an equation: A number x subtracted from 36 is three times the sum of four and x.

Equation________________________________________

For 7 – 10, Solve each equation. Show your algebraic process.

7.) (1pt) 12 + r = 3

r = _________

8.) (1pt) – w = –9

w = _______

9.) (2pts) –3a + 4 = –14

a = _______

10.) (2pts) =

p = ______

11.) (2pts) Evaluate | 4t + n | if t = –2 and n = 5.

Answer___________

Solve the equation below. Then graph the solution set.

12.) (3pts) | 2t – 1 | = 7

Solution(s) t = ___________ 13

13.) (2pts) Do and form a proportion?

Circle one: YES NO Why or why not?__________________________________________

Solve each equation for problems 14-17. Show your algebraic process.

14.) (2pts) –x + 4 = x + 6 __________________

15.) (3pts) 5n + 7 = 7(n + 1) – 2n _____ ____________

16.) (3pts) 2(3 + 2q) = 6(2q - 7) _________________

17.) (2pts) Solve 2l + 2w=P for w. ______________

18.) Fred is a Cells – R- Us cell phone customer. His plan costs $35 each month for unlimited calling but also adds a texting charge of $ 0.2 per text message each month. a. If t is the number of text messages Fred sends in a month, write an algebraic expression for the total

amount of Fred’s bill in one month. (2pts) Algebraic expression____________________ b. Show how to use your algebraic expression to calculate Fred’s bill if he sent 58 text messages last

month. (1pt) Last month’s bill____________________

c. (1 pt) If Fred’s total cell phone bill for July was $435, how many text messages did he send ?

answer_________

15

KEY to Algebra 1 Ch 2 test Form A

1. C 2. D 3. A 4. C 5. B 6. 36 – x = 3 (4 + x) 7. r = -9 8. w = !"

!

9. a = 6 10. p = 45 11. 3 12. {3, -3} 13. Yes, sample rational: by the Means and Extremes property 84 = 84 14. x = -1 15. Infinitely many Solutions 16. q = 6 17. w = !!!!

!

18. a. 35 + 0.2 t b. $46.60 c. 2000 texts

Algebra 1, Chapter 2 Test Form B Name_________________________ Pd____

Multiple Choice (1 point each)

Identify the choice that best completes the statement or answers the question. Write your answer in the blank at the left.

____ 1.) Translate the following sentence into an equation.

The sum of twice a number x and 11 is three more than two times x. 33 a. 2x + 11 = 3 + 2x c. 2x + 11 = 3x + 2

b. 2(x + 11) + 2x + 3 d. 2x + 11 = 2(x + 3)

____ 2.) Translate the following equation into a verbal sentence.

2x – y = 3(2y + x)

a. Two times the difference of x and y equals three times the sum of two y and x.

b. Two times x minus y is three times the sum of two y and x.

c. The sum of two times x and y is three times two times y plus x.

d. Two times x less than y is three times two times y plus x.

____ 3.) Solve 4x + 3 = 19. SHOW YOUR PROCESS AND Write your answer in the blank at the left.

a. 4 b. 5 c. 26 d. 12

____ 4.) Solve | 3r – 6 | = 12. SHOW YOUR PROCESS AND Write your answer in the blank at the left

a. no solution

b. {6, 2} c. {2, –2} d. {6, –2}

____ 5.) Solve 2x – 2y = 2y for x. SHOW YOUR PROCESS AND Write your answer in the blank at the left

a. 2y b. 0 c. y d. 2 5

Short Answer SHOW YOUR WORK FOR THE REMAINDER OF THE TEST!

6.) (2pts)Translate the following sentence into an equation: A number x subtracted from 24 is three times the difference of four and x.

Equation_______________________________ Problems 7-10 Solve each equation. Show your algebraic process.

7.) (1pt) 14 + r = 2

r = _____

8.) (1pt) – w = –7

w = ______

9.) (2pts) –5a + 3 = –12

a = _______

10.) (2pts) =

p = ______

11.) (2pts) Evaluate | 4t + n | if t = –3 and n = 6.

Answer _________ Solve the equation below. Then graph the solution set.

12.) (3pts) | 3t – 3 | = 6

Solution(s) t = __________ 13

13.) (2pts) Do and form a proportion?

Circle one: YES NO Why or why not:____________________________________

Solve each equation for problems 14-17. Show your algebraic process.

14.) (2pts) –x + 7 = x + 5 _______________

15.) (3pts) 4n + 9 = 6(n + 1) – 2n _____ ____________

16.) (3pts) 3 (3 + 2q) = 5 (2q - 3) ________________

17.) (2pts) Solve 2l + 2w=P for l. ________________

18.) Fred is a Cells – R- Us cell phone customer. His plan costs $45 each month for unlimited calling but also adds a texting charge of $ 0.25 per text message each month. a. If t is the number of text messages Fred sends in a month, write an algebraic expression for the total amount of

Fred’s bill in one month. (2pts) Algebraic expression____________________ b. Use your algebraic expression to calculate Fred’s bill if he sent 54 text messages last month. (1pt) Last month’s bill____________________ c. (1 pt) If Fred’s total cell phone bill for July was $339, how many text messages did he send ?

answer:__________ 15

KEY to Algebra 1 Ch 2 test Form B

1. A 2. B 3. A 4. D 5. A 6. 24 – x = 3 (4 - x) 7. r = -12 8. w =

9. a = 3 10. p = 55 11. 6 12. {3, -1} 13. No, sample rational: by the Means and Extremes property 84 does not = 70 14. x = 1 15. No Solution 16. q = 6 17. w =

18. a. 45 + 0.25 t b. $58.50 c. 1176 texts

Algebra 1 Ch 4 Test A Name____________________________ Pd___ 28

Multiple Choice (1 point each) Identify the choice that best completes the statement or answers the question. ____ 1. What is the slope-intercept form of the equation of a line with a slope of 5 and a y-intercept of –8?

a. y = –8x + 5 b. y = 8x – 5 c. 5x – y = – 8 d. y = 5x – 8

____ 2. Which equation is graphed below?

a. y = !! x + 5 b. y = - 2x – 5

c. y = 2x – 5 d. y = - !! x – 2.5

____ 3. What is the equation of the line through (–2, –3) with a slope of 0?

a. x = –2 b. y = –3 c. –2x – 3y = 0 d. –3x + 2y = 0

____ 4. If line p has a slope of

€

14

, what is the slope of any line parallel to p ?

a.

€

41

b.

€

−41

c.

€

14

d.

€

−14

____ 5. If line q has a slope of

€

−38

, what is the slope of any line perpendicular to q?

a. b. c. d.

____ 6. A line of best fit might be defined as: a. a line that connects all the data points.

b. a line that might best estimate the data and be used for predicting values. c. a vertical line halfway through the data.

d. a line that has a slope greater than 1.

____ 7. To calculate the charge for a load of bricks, including delivery, the Redstone Brick Co. uses the equation C = 0.42b + 25, where C is the total cost and b is the number of bricks. What is the price per brick?

a. $ 0 .42 b. $67 c. $25 d. $0.25 7

1 2 3 4–1–2–3–4 x

12

–1–2–3–4–5–6

y

Short Answer Show your algebraic process. 8.Write a linear equation in slope-intercept form to model the situation: A telephone company charges

$28.75 per month plus $0.10 a minute for long-distance calls. (2pts)

Equation_______________________

9. Write the slope-intercept form of an equation for the line graphed below

(2pts) Equation____________________

10. Graph the line with a y-intercept of 3 and slope (2pts)

11. Graph the equation y = 2x – 2

(2pts)

12.Write the slope-intercept form of the equation y – 2 = 3(x – 4).

(2pts) Equation_______________________

13. Write an equation in slope-intercept form for the line that passes through (2, 3) and (6, 5).

(2pts) Equation_______________________

14. Write the slope-intercept form of the equation of the line parallel to the graph of y = -2x + 5 that

passes through (4, 1).

(2pts) Equation________________________ 14

x

y

x

y

x

y

15. Write the slope-intercept form of the equation of the line perpendicular to the graph of

y = ─ !!

x – 7 that passes through (3, 10).

(2pts) Equation_______________________ Use the data in the table to answer the questions 16 & 17.

Time Spent Studying(minutes) 10 20 30 40 50

Score received (percent) 47 67 70 87 90

16. Make a scatter plot relating time spent studying to the score received.

Scored received

(percent)

(1 pt)

17. a. Write the slope-intercept form of the equation for a line of fit for the data.

(2pts) Equation___________________________ a. Use your equation to predict a student’s score if the student spent 35 minutes studying.

(2pts) Score___________

18. Write this equation in slope-intercept form y - !! = !

! ( x – 4 )

(1pts) Equation_________________________ 7

10 20 30 40 50 60 70 x

102030405060708090100

y

Time spent studying (in minutes)

ANSWER KEY TO ALGEBRA 1 CHAPTER 4 TEST FORM A 1. D 2. C 3. B 4. C 5. C 6. B 7. A 8. Y = 0.1X + 28.75 9. Y = ─ X – 2 10.

11.

12. Y = 3X – 10 13. Y = !

! X + 2

14. Y = ─2X + 9 15. Y = 3X + 1 16.

17. a. sample: y = x + 40 b. sample: approximately 75

18. (bonus) y = !! x - !

!

x

y

x

y

102030405060708090 x

102030405060708090100 y

Algebra 1 Ch 4 Test B Name_________________________ Pd___ Row___ 28 Multiple Choice (1 point each) Identify the choice that best completes the statement or answers the question.

____ 1. What is the slope-intercept form of the equation of a line with a slope of 3 and a y-intercept of –6?

a. y = –6x + 3 b. y = 3x – 6 c. 3x – y = – 6 d. y = 6x – 3

____ 2. Which equation is graphed below?

a. y = 2x – 5 b. y = - 2x – 5

c.

€

y =12x − 5 d.

€

y = −12x − 5

____ 3. What is the equation of the line through (–4, –7) with a slope of 0?

a. x = –4 b. y = –7 c. –4x – 7y = 0 d. –7x + 4y = 0

____ 4. If line m has a slope of

€

−13

, what is the slope of any line parallel to m?

a.

€

13

b.

€

−13

c.

€

31

d.

€

−31

____ 5. If line q has a slope of

€

79

, what is the slope of any line perpendicular to q?

a.

€

79

b.

€

−79

c.

€

97

d.

€

−97

____ 6. A line of best fit might be defined as: a. a line that connects all the data points.

b. a line that has a slope greater than 1. c. a vertical line halfway through the data.

d. a line that might best estimate the data and be used for predicting values.

____ 7. To calculate the charge for a load of bricks, including delivery, the Redstone Brick Co. uses the equation C = 0.25b + 37, where C is the total cost and b is the number of bricks. What is the price per brick?

a. $ 0 .25 b. $0.37 c. $25 d. $62 7

1 2 3 4–1–2–3–4 x

12

–1–2–3–4–5–6

y

Short Answer Show your algebraic process. 8. Write a linear equation in slope-intercept form to model the situation: A telephone company charges

$24.50 per month plus $0.15 a minute for long-distance calls. (2pts) Equation_______________________

9. Write the slope-intercept form of an equation for the line graphed below

(2pts)Equation____________________

10. Graph the line with a y-intercept of 4 and slope

€

−23

(2pts)

11. Graph y = -3x + 2

(2pts)

12. Write the following equation in slope-intercept form.

€

y − 3 =14(x +12)

( 2pts) Equation_________________________

13. Write an equation in slope-intercept form for the line that passes through (4, 9) and (12, 11).

(2pts) Equation________________________ 12

x

y

x

y

x

y

14.Write the slope-intercept form of the equation of the line parallel to the graph of y = -3x + 9 that passes through (6, 5).

(2pts) Equation______________________________

15. Write the slope-intercept form of the equation of the line perpendicular to the graph of

y = ─ !! x – 10 that passes through (3,10).

(2pts) Equation________________________________ Use the data in the table to answer the questions 16 & 17.

Time Spent Studying(minutes) 10 20 30 40 50

Score received (percent) 32 57 63 79 85

16. (1 pt)Make a scatter plot relating time spent studying to the score received.

Scored received

(percent)

17. a. Write the slope-intercept form of the equation for a line of fit for the data. (2pts) Equation___________________________

b. Use your equation to predict a student’s score if the student spent 25 minutes studying.

(2pts) Score___________

18. Write this equation in slope-intercept form

€

y − 13

=12(x − 4)

(1pt) Equation_____________________ 9

10 20 30 40 50 60 70 80 90100 x

102030405060708090100 y

Time spent studying (in minutes)

Key – Ch4 – Alg 1 – Test B

1. B 2. A 3. B 4. B 5. D 6. D 7. A 8. Y = 0.15x + 24.50 9. Y = 1x – 3

10.

11.

12. Y = !! x + 6

13. Y = !!x + 8

14. Y = -‐3x + 24

15. Y = 2x + 4

16.

17. A. sample Y = 1.28x + 24.8 B. 56.8 (about 60) 18. y = !

!x - !

!

x

y

x

y

102030405060708090 x

102030405060708090100 y

Alg 1 Ch 5 Test form A Name___________________________________ Pd._____ Row______

Multiple Choice (1point each)Identify the choice that best completes the statement or answers the question. 1-8 Solve each inequality.

____ 1. –51 x + 38 37

a. {x | x –13} b. {x | x 89} c. {x | x –89} d. {x | x –13}

____ 2. > 4

a. {t | t < –8} b. {t | t < –2} c. {t | t > 2} d. {t | t > –8}

____ 3. 4w – 6 > 6w – 20

a. {w | w < 7} b. {w | w < 2} c. {w | w < –7} d. {w | w < –2}

____ 4. 8r – (5r + 4) –31

a. {r | r –9} b. {r | r –9} c. {r | r 9} d. {r | r 9}

____ 5. Which of the following is the graph of the solution set of y < –3 or y > 1?

a.

b. c. d.

____ 6. Which compound inequality has the solution set shown in this graph?

a. –1 < n < 2 b. –1 n < 2 c. n –1 or n < 2 d. –1 < n 2

____ 7. W h i c h o f t h e f o l l o w i n g i s t h e s o l u t i o n s e t o f : –4 < 3t + 5 20?

a. {t | 3 < t 5} b. {t | t < –3} c. {t | t < –3 and t 5} d. {t | t < –3 or t 5}

7

____ 8. Which of the following is the graph of the solution set of t – 4 4t + 8 or 3t > 14 – 4t ?

a.

c.

b.

d.

____ 9. Which inequality corresponds to this graph shown?

a. | x – 2 | < 3 b. | x – 2 | > 3 c. | x – 2 | 3 d. | x – 2 | 3

____ 10. Which is the graph of 2! + 7 < 5 ?

a. b. c. d. .

Short Answer (show your algebraic process)

Solve each inequality. Write your solution on the space provided

11.(2pts.) x – 12 > 1 Solution:_______________

12. (2pts.) 3 < 7+ z Solution:_______________

13. (2pts.) –4r < 20 Solution:_______________

14. (2pts.) 12

Solution:_______________

15. (2pts.) 4x – 5 < 2x + 11 Solution:_______________

16. (2pts.) – 2(p – 1) 3p – 13

Solution:_______________

15

-6 -5 -4 -3 -2 -1 0 -6 -5 -4 -3 -2 -1 0 -6 -5 -4 -3 -2 -1 0 -6 -5 -4 -3 -2 -1 0

Solve each compound inequality. Then graph the solution set.

17. (3pts.) 3w < 6 and –5 < w

Solution:_______________

18. (3pts.) –4x – 8 –4 or 7x – 5 > 16

Solution:_______________

19. (3pts.) | x - 1 | 2

Solution:_______________

20. (3pts.) | 3 – 2x | 1

Solution:_______________

21.(3pts.) Two-Sevenths of a number is at least twelve. What are all the possible numbers to make this true?

a. Define a variable____________________________________

b. write an inequality _______________________

c. Solve your inequality____________

22.(1pt) Graph the solution set of the compound inequality 3 < | x – 4 | < 7.

15

Alg 1 Ch 5 Test form B Name___________________________________ Pd._____ Row______

Multiple Choice (1point each)Identify the choice that best completes the statement or answers the question. 1-8 Solve each inequality.

____ 1. –37 x + 10 37

a. {x | x –27} b. {x | x -47} c. {x | x –47} d. {x | x –27}

____ 2.

€

t−5

<12

a. {t | t < 19} b. {t | t < –7} c. {t | t > -60} d. {t | t < –60}

____ 3. 2w – 5 > 7w + 20

a. {w | w > 7} b. {w | w > -5} c. {w | w < 7} d. {w | w < –5}

____ 4. 7r – (3r + 2) < -10

a. {r | r 2} b. {r | r 2} c. {r | r -2} d. {r | r -2}

____ 5. Which of the following is the graph of the solution set of y < –3 or y > 1?

a.

b. c. d.

____ 6. Which compound inequality has the solution set shown in this graph?

a. –1 < n < 2 b. –1 < n 2 c. n –1 or n < 2 d. –1 n < 2

____ 7. W h i c h o f t h e f o l l o w i n g i s t h e s o l u t i o n s e t o f : 6 < 4t - 10 < 34?

a. {t | t < 4 and t < 11} b. {t | t < 4} c. {t | 4 < t < 11} d. {t | t < 4 or t < 11}

7

____ 8. Which of the following is the graph of the solution set of t – 4 > 4t + 8 or 3t > 14 – 4t ?

a.

c.

b.

d.

____ 9. Which inequality corresponds to this graph shown?

a. | x – 2 | < 3 b. | x – 2 | > 3 c. | x – 2 | 3 d. | x – 2 | 3

____ 10. Which is the graph of

€

2x + 7 ≥ 5?

a. b. c. d. .

Short Answer (show your algebraic process)

Solve each inequality. Write your solution on the space provided

11.(2pts.) x – 10 > 15 Solution:_______________

12.(2pts.) 13 < 12+ z Solution:_______________

13.(2pts.) –5r < 40 Solution:_______________

14.(2pts.)

€

t8≥ 2

Solution:_______________

15.(2pts.) 3x – 17 > 5x + 25 Solution:_______________

16.(2pts.) 4(p + 7) -2p + 4 Solution:_______________ 15

-6 -5 -4 -3 -2 -1 0 -6 -5 -4 -3 -2 -1 0 -6 -5 -4 -3 -2 -1 0 -6 -5 -4 -3 -2 -1 0

Solve each compound inequality. Then graph the solution set.

17.(3pts.) -1 > w and 2w > -12

Solution: ___________________________

18.(3pts.) –2x + 10

€

> 16 or 5x + 7 > 17

Solution: ___________________________

19.(3pts.) | x – 2 | 1

Solution: ___________________________ 20.(3pts.) | 3 – 2x | 1

Solution: ___________________________

21.(3pts.) Three-Tenths of a number is at least six. What are all the possible numbers to make this true?

a. Define a variable _____________________

b. write an inequality _______________________

c. Solve your inequality____________

22.(1pts.) Graph the solution set of the compound inequality 3 < | x – 4 | < 7.

15

Algebra 1 Ch 6 Test B Name_________________________________ Pd_____ Row____

Multiple Choice

Identify the choice that best completes the statement or answers the question.

Use the graph to answer questions 1and 2.

____ 1. Determine how many solutions exist for each system of equations.

y = 3x -2 3x – y = 2

a. no solution c. infinitely many solutions b. one solution d. cannot be determined


x + 2y = –1 y = 3x + 3


____ 3. Which ordered pair is the solution to the system x + 2y = -1 and 3x + 4y = -3.

a. (3, -2) b. (-3, 1) c. (0, -0.5) d. (–1, 0)

____ 4. B-mobile has two different cell-phone plan options. One plan offers unlimited voice and text messages for

$30 per month. Another plan offers unlimited voice for $20 per month but charges $0.15 for each text message during the month. Which system of equation describes the cost C of both plans based on the number of text messages t ?

a. C = 30

C = 0.15 t + 20

b. C = 30 C = 20 t + 0.15

c. C = 30 t C = 0.15 t + 20

d. C = 30 t C = 20 t + 0.15

Short Answer

Solve each system of equations in problems 5 and 6 by graphing and state the solution.

5. y = –2x + 1

y = 2x – 3

Solution_____________

6. x – y = –4

3x – 3y = –6

Solution_____________

Use substitution to solve each system of equations in problems 7 and 8. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.

7. y = 2x

2x + y = 8

Solution_____________________

8. -3x + y = 12

4x + y = -9

Solution____________________

Use elimination to solve each system of equations in problems 9 and 10.

9. 2x + 3y = 3

–x + 2y = –5

10. 5x + 3y = 14

2x + 2y = 4

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

Solution____________ Solution_____________

Determine the best method to solve each system of equations. Then solve the system.

11. x = 3y – 5

2x + 2y = 6

Solution____________

12. x – 2y = 2

-x + y = 3

Solution_______________

13. A group of people is going to dinner. Adults cost $12 per meal. Children cost $8 per meal. 20 people went to dinner and the total bill was $188

a. Define variables:

b. System of equations:

c. Solve your system to find out how many adults and how many children went to dinner.

Adults:___________________ Children____________________

14. Your teacher is giving a test that has 2 more three-point questions than six-point questions. The test is worth 60 points. Write and solve a system of equations that represents this information. What does the solution mean?

Define Variables: System: Solution:

Algebra 1 Ch 6 Test Name_________________________________ Pd_____ Row____

Multiple Choice


Use the graph to answer questions 1and 2.


y = 3x + 3 3x – y = 2



x + 2y = –1 2x + 3y = 0


____ 3. Which ordered pair is the solution to the system x + 2y = 1 and 2x + 5y = 3.

a. (–1, 1) b. (1, –1) c. (–5, 3) d. (–1, –1)

____ 4. B-mobile has two different cell-phone plan options. One plan offers unlimited voice and text messages for $40 per month. Another plan offers unlimited voice for $20 per month but charges $0.20 for each text

message during the month. Which system of equation describes the cost C of both plans based on the number of text messages t ?

a. C = 40 t

C = 0.2 t + 20

b. C = 40 t C = 20 t + 0.2

c. C = 40 C = 0.2 t + 20

d. C = 40 C = 20 t + 0.2

Short Answer (show all necessary work !)

Solve each system of equations in problems 5 and 6 by graphing and state the solution.

5. y = –x + 4

y = x – 4

Solution_____________

6. 2x – y = –3

6x – 3y = –9

Solution_____________

Use substitution to solve each system of equations in problems 7 and 8. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.

7. y = 3x

x + y = 4

Solution_____________________

8. -5x + y = -10

7x – 2y = 11

Solution____________________

Use elimination to solve each system of equations in problems 9 and 10.

9. 2x + 5y = 3

–x + 3y = –7


10. 3x + 5y = 10

2x + 2y = 4

Solution_____________

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

Determine the best method to solve each system of equations. Then solve the system.

11. x = 2y – 1

3x + y = 11


12. 5x – y = 17

3x – y = 13

Solution_______________

13. In the 2006 Winter Olympics, the total number of gold and silver medals won by the U.S. was 18. The total points scored for gold and silver medals was 45. Each gold medal was worth 3 points and each silver medal was worth 2 points. Write and solve a system of equations to find the number of gold and silver medals the U.S. won in 2006.

a. Define variables:

b. System of equations:

c. Solve your system to find out how many gold and silver medals were won by the U.S.

Gold medals:___________________ Silver Medals____________________

14. Your teacher is giving a test that has 5 more four-point questions than six-point questions. The test is worth 120 points. Write and solve a system of equations that represents this information. What does the solution mean?

Define Variables: System: Solution:

Alg 1 Ch 7 Test A Name_________________________________ Pd_____ 27

Multiple Choice


____ 1. Simplify (x3)

8.

a. x24

b. x11

c. 8x24

d. 8x11

____ 2. Simplify . Assume the denominator is not equal to zero.

a.

b.

c.

d.

____ 3. Express 46,100,000 in scientific notation.

a. 4.61 107 b. 4.61 10

6 c. 4.61 10

5 d. 4.61 10

8

____ 4. Evaluate .

a. 5 109 b. 5 10

–20 c. 5 10

–1 d. 5 10

1

____ 5. Find the degree and leading coefficient of the polynomial 3x – 8x5 + x

7.

a. Degree 1; b. Degree 7 c. Degree 8 d. Degree 5

Leading Coeff. 3 Leading Coeff. 1 Leading Coeff. 5 Leading Coeff. -8

____ 6. Write 4x3 – 6x + 2x

5 + 3 in standard form.

a. 3 – 6x + 4x3 + 2x

5 c. 2x

5 + 4x

3 – 6x + 3

b. 4x3 + 3 + 2x

5 – 6x d. –6x + 4x

3 + 3 + 2x

5

____ 7. Simplify (3x + 2)(3x – 2)

a 9x2 + 4 b. 9x

2 – 4 c. 9x

2 - 12x + 4 d. 9x

2 + 12x + 4

7

Short Answer. SHOW ALL NECESSARY PROCESS ( problems 8-17 worth 2 points, 18 worth 1 point)

8. a. Write x2

+ 4x – 3x3

+ 6 in standard form.

a. __________________________

b. degree ______ leading coefficient_______

9. Find the sum: (3c2 – 8c + 5) + (c

2 – 8c – 6)

___________________

10. Find the difference: (3x – 5y + 1) – (2y +3x)

____________________________

11. Simplify: c( c3 – 10c + 1)

_______________

12. Simplify: 2a2(5a – 6) – 5a(a

2 – 3a + 4)

_______________________

13. Solve: 3b2 – 2b = (2b

2 -3b) + (b

2 + 7b) +12

b = _______________

14. Multiply: (m – 4)(2m - 3)

_________________

15. Multiply: (p + 4)(p – 4)

___________________

16. Simplify: (x + 8)2

____________________

17. Simplify: (2y – 8)2

__________________

18. Simplify: (32n-1

) ( 35n

)

__________________

20

Alg 1 Ch 7 Test A KEY

1. A

2. D

3. A

4. C

5. B

6. C

7. B

8. a. -3x3 + x

2 + 4x + 6

b. deg. 3 L.C. -3

9. 4c2 -16c -1

10. -7y + 1

11. c4 – 10c

2 + c

12. 5a3 + 3a

2 -20a

13. b = -2

14. 2m2 -11m +12

15. p2-16

16. x2 + 16x + 64

17. 4y2 -32y +64

18. 37n-1

Algebra 1 Chapter 7 Test B Name: __________________________________________________ Pd: ____

Multiple Choice(1 point each) – Identify the choice that best answers the question. 27

________ 1. Simplify (x2)5

a. 5x10 b. 5x7 c. x10 d. x 7

________ 2. Simplify 36b4c 2

9b1c 5

a. 27b4

c 3 b.

4b3

c 3 c.

27b3

c3 d.

4b5

c 3

________ 3. Express 37,400,000 in scientific notation.

a. 3.74 x 105 b. 3.74 x 106 c. 3.74 x 107 d. 3.74 x 108

________ 4. Evaluate 7x1011

1.4x102

a. 5 x 109 b. 5 x 10-20 c. 5 x 10-1 d. 5 x 101

________ 5. Find the degree and leading coefficient of the polynomial 3x 8x5 x2

a. Degree 1; b. Degree 2; c. Degree 8; d. Degree 5;

Leading Coeff: 3 Leading Coeff: 1 Leading Coeff: 5 Leading Coeff: -8

________ 6. Write 5a2 2a 4a3 1 in standard form.

a. 5a2 4a3 2a 1 c. 1 2a 5a2 4a3

b. 5a2 2a 4a3 1 d. 4a3 5a2 2a 1

________ 7. Simplify (12t + 5)(12t – 5)

a. 144t2 25 b. 144t2 25 c. 144t2 60t 25 d. 144t2 60t 25

7

Short Answer. SHOW ALL NECESSARY PROCESS ( problems 8-17 worth 2 points, 18 worth 1 point)

8. Write 5 x3 4x5 7x in standard form: a.______________________________ b. Degree:_______ Leading Coefficient:_______

9. Find the sum: (4c3 7c 3) (c3 5c 4) ___________________

10. Find the difference: (2x 2y 1) (3y 4x)

___________________

11. Simplify: b(b2 12b 1) ___________________

12. Simplify: 5w2(8w 4) 3w(w3 2w 2) ___________________

13. Solve: 2a2 3a (a2 5a) (a2 7a) 35 __________

14. Multiply: (x – 3)(4x – 7) _____________________

15. Multiply: (p + 9)(p – 9) ________________

16. Simplify: (x 5)2 ____________________

17. Simplify: (4y 5)2

________________

18. Simplify: (42n 1)(46n) ___________

20

Algebra 1 Chapter 7 Test B KEY

1. C

2. B

3. C

4. A

5. D

6. D

7. B

8. a. ─4x5 + x3 ─7x + 5

b. deg. 5 L.C. ─4

9. 5c3 ─12c ─1

10. ─2x ─ 5y +1

11. b3 ─12b

2 +b

12. ─3w4 +40w

3 ─14w

2 ─6w

13. a=7

14. 4x2 ─ 19x + 21

15. p2 ─ 81

16. x2 + 10x + 25

17. 16y2 ─40y + 25

18. 48n-1

2011-2012

Name:___________________________________ Pd:________ Row________

Alg 1 Ch 8 Test A

30 Multiple Choice (1 point each)


____ 1. Factor 76u3x

2 completely.

a. 76 u u u x x c. 4 19 u3 x

2

b. 2 19 u x d. 2 2 19 u u u x x

____ 2. Find the GCF of 45xy2 and –60y.

a. 5y2 b. 15y c. 180xy

2 d. 30xy

____ 3. Factor 24x2y – 66xy

2 + 54x

2y

2 completely.

a. 2xy(12x – 33y + 27xy) c. (4x2 + 6y)(6x – 9y

2)

b. 6x2y

2(4y – 11x + 9) d. 6xy(4x – 11y + 9xy)

Solve each equation.

____ 4. (3w + 4)(2w – 7) = 0

a.

b.

c.

d.

Factor each polynomial completely, if possible. If the polynomial cannot be factored, choose prime.

____ 5. 121r2 – 64t

2

a. (11r + 8t)(11r – 8t) c. (11r + 8t)(11r + 8t)

b. (11r – 8t)(11r – 8t) d. prime

____ 6. Which trinomial is not a perfect square trinomial?

a. 4x2 + 4x + 1 c. x

2 + 10x – 25

b. 49x2 – 56xy + 16y

2 d. 25 – 30x + 9x

2

6

2011-2012

Short Answer- Show your algebraic process Note: For 7-18 there is only one prime answer

Find the GCF of each set of monomials. (1 points each)

7. 4x2, 10xy

Answer:___________________________________

8. 2ab, 5bc, 9ac

Answer:___________________________________

(2pts each) Completely factor each polynomial, if possible. If the polynomial cannot be factored, write prime.

9. 35a3b – 45a

2b

2

Answer:___________________________________

Check:

10. t 2 – 11t + 24

Answer:___________________________________

Check:

11. n2 + n – 42

Answer:___________________________________

Check:

12. 36m2 – 49

Answer:___________________________________

Check:

13. 25w2 – 60w + 36

Answer:___________________________________

Check:

14. a2 – a – 30

Answer:___________________________________

Check:

14

2011-2012

Solve each equation by factoring. Check the solutions.

15. (3n + 2)(n – 2) = 0

Answer:___________________________________

Check:

16. 16y2 – 8y = 0

Answer:___________________________________

Check:

17. x2 – 4x – 12 = 0

Answer:___________________________________

Check:

18. 36x2 + 49 = 84x

Answer:___________________________________

Check:

_______

8

2011-2012

19. The area of a rectangular room is 88 square feet. The width is 3 feet less than the length. Find the dimensions of the

room. (A picture may help. Show your algebraic thinking.)

Answer:___________________________________

20. Rock: A rock dropped from a platform that was 96 feet high at a velocity of 16 feet per second. The height h in feet of

the rock above the ground can be modeled by h = –16t2 + 96, where t is the time in seconds after the rock was dropped.

How many seconds does it take for the rock to reach the ground?

Answer:___________________________________

2

2011-2012

Name:___________________________________ Pd:________ Date:________

Alg 1 Ch8 Test B

Multiple Choice (1 point each) 30 Identify the choice that best completes the statement or answers the question.

____ 1. Factor 126x2y

3 completely.

a. 7 18 x2

y3 c. 126 x x y y y

b. 2 3 3 7 x x y y y d. 2 3 7 x y

____ 2. Find the GCF of –42r2 and 63rs.

a. 3r2 b. 21r c. 28rs d. 126r

2s

____ 3. Factor 88a2b

2 + 24a

2b – 32ab

2 completely.

a. 8a2b

2(11 + 3b – 4a) c. 8ab(11ab + 3a – 4b)

b. 2ab(44ab + 12a – 16b) d. (11a2 + 8b)(8a – 4b

2)

Solve each equation.

____ 4. (3m – 2)(9m + 5) = 0

a.

b.

c.

d.

Factor each polynomial completely, if possible. If the polynomial cannot be factored, choose prime.

____ 5. 196w2 – 81z

2

a. (14w + 9z)(14w + 9z) c. (14w + 9z)(14w – 9z)

b. (14w – 9z)(14w – 9z) d. prime

____ 6. Which trinomial is not a perfect square trinomial?

a. x2 + 8x + 16 c. 9x

2 + 12x – 4

b. 4x2 – 20x + 25 d. 16 – 56x + 49x

2

6

2011-2012

Short Answer- Show your algebraic process Note: For #7-18, there is only one prime

Find the GCF of each set of monomials. (1 points each)

7. 9x2, 6xy

3

Answer:___________________________________

8. 5ab, 6ac, 7bc

Answer:___________________________________

(2 points each)Completely Factor each polynomial, if possible. If the polynomial cannot be factored, write prime.

9. 10x2y – 22x

3y

2

Answer:___________________________________

Check:

10. m2 + 12m – 28

Answer:___________________________________

Check:

11. r2 – r – 56

Answer:___________________________________

Check:

12. 49a2 – 169

Answer:___________________________________

Check:

13. 81c2 + 72c + 16

Answer:___________________________________

Check:

14. x2 –x – 42

Answer:___________________________________

Check:

14

2011-2012

Solve each equation by factoring. Check the solutions. (2 points each)

15. (x + 5)(4x – 3) = 0

Answer:___________________________________

Check:

16. 12b2 – 8b = 0

Answer:___________________________________

Check:

17. y2 - 4y – 45 = 0

Answer:___________________________________

Check:

18. 25x2 + 81 = 90x

Answer:___________________________________

Check:

8

2011-2012

19. The area of a rectangular room is 66 square feet. The length of the room is 5 feet longer than the width. Find the

dimensions of the room. (A picture may help. Show your algebraic thinking.)

Answer:___________________________________

20. Rock: A rock dropped from a platform that was 96 feet high at a velocity of 16 feet per second. The height h in

feet of the rock above the ground can be modeled by h = –16t2 + 96, where t is the time in seconds after the rock

was dropped. How many seconds does it take for the rock to reach the ground?

Answer:___________________________________

2

2011-2012

Alg 1 Ch 9 Exam Version B Name: _________________________ Pd____ Row______

Multiple Choice (1 point each) Identify the choice that best completes the statement or answers the question.

____1. A weightlifter can increase the weight W(x) that she can lift according to W(x) = 315(1.05)x , where x represents the number of training cycles completed. How much will she deadlift after 4 training cycles?

a. 365 lb b. 383 lb c. 378 lb d. 402 lb

____2. POPULATION A city’s population is about 954,000 and is decreasing at an annual rate of 0.1%. Predict the population in 50 years.

a. 577,176 b. 906,300 c. 4917 d. 907,450

____3. A new welding machine valued at $38,000 depreciates at a steady rate of 6% per year. What is the value of the welding machine in 10 years rounded to the nearest dollar?

a. $68,52.21 b. $18,391 c. $20,467 d. $3.99

____4. Which equation represents exponential growth?

a. y = 5(0.84)x b. y = 5x c. y = 5(1.06)x d. y = 0.3x3

____5. A certain fast-growing bacteria increases 5% per minute. If there are 100 bacteria now, about how many will there be 12 minutes later? a. 180 b. 201 c. 54 d. 12,975

SHORT ANSWER (SHOW ALL NECESSARY PROCESS) 6. Make a table with at least five entries and graph the function.

y = 2(3)x + 2

X Y

7. Find the following for the function in Question 6:

Y intercept ________ Domain _____________________ Range _______________________

1 2 3 4 5 6–1–2–3–4–5–6 x

369121518212427303336

–3–6

y

Read problem 8. Choose the appropriate formula, then use your chosen formula to answer the question.

y = a(1+r )t y = a 1 + !!

!" y = a(1-‐r)t

8. The population of Moldova has been decreasing at a rate of 4% per year. If Moldova had 7 million people in 2007, what will the Moldovan population be in 2015?

Formula:_____________________________

Use the formula____________________________

Romanian population be in 2015_________________________

Match the function with the graph. Write the letter in the blank provided.

9. ______ g(x) = 2 10. ______ f(x) = 3x 11. ______ y = x2 12. ______ y = 2x 13. ______ y = x 14. ______ p(x) = x+1, x > 0 x2, x < 0

A.

B.

c.

D.

E.

F.

x

y

x

y

x

y

x

y

x

y

x

y

Alg 1 Ch 9.2 Exam Ver A 2011-‐12 Name: _________________________ Pd____ Row______ Multiple Choice (1 point each) Identify the choice that best completes the statement or answers the question.

____ 1. A weight lifter can deadlift 275 pounds. She can increase the weight W(x) that she can lift according to the

function W(x) = 275(1.05)x, where x represents the number of training cycles completed. How much will she

deadlift after 5 training cycles?

a. 334 lb b. 369 lb c. 344 lb d. 351 lb

____2. A city’s population is about 763,000 and is increasing at an annual rate of 1.5%. Predict the

population of the city in 50 years.

a. 1,335,25 b. 826,830,628 c. 358,374 d. 1,606,300

____3. A new welding machine valued at $38,000 depreciates at a steady rate of 7% per year. What is the value of the welding machine in 10 years rounded to the nearest dollar?

a. $74,752 b. $18,391 c. $28,022 d. $1073

____4. Which equation represents exponential growth?

a. y = 5(0.84)x b. y = 5x c. y = 0.3x3 d. y = 5(1.06)x

____5. A certain fast-growing bacteria increases 6% per minute. If there are 100 bacteria now, about how many will there be 12 minutes later? a. 172 b. 201 c. 48 d. 190 SHORT ANSWER (SHOW ALL NECESSARY PROCESS) 6. Make a table with at least five entries and graph the function.

y = 2(2)x – 3

X Y

7. Find the following for the function in Question 6.

a) y-‐intercept = ______________ b) Domain = _____________ c) Range = _____________

1 2 3 4 5 6–1–2–3–4–5–6 x

369121518212427303336

–3–6

y

Read problem 8. Choose the appropriate formula, then use your chosen formula to answer the question.

y = a(1 + r )t y = a 1 + !!

!" y = a(1 – r)t

8. The population of Romania has been decreasing at a rate of 3% per year. If Romania had 20 million people in 2007, what will the Romanian population be in 2012?

Formula:_____________________________

Use the formula____________________________

Romanian population in 2012_________________________

Match the function with the graph. Write the letter in the blank provided.

9. ______ y = x2 10. ______ y = 2x 11. ______ g(x) = 2 12. ______ f(x) = 3x 13. ______ y = x 14. ______ p(x) = x+1, x > 0 x2, x < 0

A.

B.

c.

D.

E.

F.

x

y

x

y

x

y

x

y

x

y

x

y

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