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Mourning Sr. High Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete the entire assignment. Regular Algebra 2 students complete the following: Fractions #’s 1-23 Solving Linear Equations #’s 1-4, 8 Linear Functions and Slopes #’s 1-10 Linear Inequalities #’s 1-3, 7 Solving Absolute Value Equations and Inequalities #’s 1-4 Systems of Linear Equations #’s 1-5 Factoring and Solving Quadratic Equations #’s 1-3, 10, 15 Probability and Statistics #’s 1-3, 5, 6, 9, 10 Directions: 1. Show all of your work. 2. Write the final answer on the line provided. 3. If you need help, there are links provided on each page with extra help resources. There will be a test based on this assignment the first week of school.

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Page 1: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

Mourning Sr. High

Algebra II Summer Assignment

Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

the entire assignment.

Regular Algebra 2 students complete the following:

Fractions #’s 1-23

Solving Linear Equations #’s 1-4, 8

Linear Functions and Slopes #’s 1-10

Linear Inequalities #’s 1-3, 7

Solving Absolute Value Equations and Inequalities #’s 1-4

Systems of Linear Equations #’s 1-5

Factoring and Solving Quadratic Equations #’s 1-3, 10, 15

Probability and Statistics #’s 1-3, 5, 6, 9, 10

Directions:

1. Show all of your work.

2. Write the final answer on the line provided.

3. If you need help, there are links provided on each page with extra help

resources.

There will be a test based on this assignment the first week of

school.

Page 2: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

ATM Algebra II Summer Assignment- Factions

For Extra Help: https://www.khanacademy.org/math/arithmetic/fractions

Perform the operation. You MUST show your work.

Write the answer as a fraction in lowest terms. You may leave your answer as an improper fraction.

1)1

3 + 

1

61)

2)1

13 + 

5

132)

3)1

10 + 

3

43)

4)1

8 + 

1

34)

5)1

12 + 

5

95)

6)8

9 - 

1

96)

7)6

5 - 

5

57)

1

Page 3: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

8)9

23 - 

8

238)

9)5

9 - 

1

29)

10)7

8 - 

1

210)

11)1

3 · 1

711)

12)4

9 · 5

612)

13)8

9 · 13

1413)

14)3

4 · 5

914)

15)5

6 · 15

2815)

2

Page 4: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

16)5

6 ÷ 

1

616)

17)11

13 ÷ 

1

217)

18)13

23 · 12

1918)

19)1

2 ÷ 

1

719)

20)8

17 ÷ 

9

1420)

21)11

18 ÷ 1

3

521)

22) 52

3 ÷ 4 22)

23) 18

9 ÷ 2

2

923)

3

Page 5: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

ATM Algebra II Summer Assignment- Solving Linear Equations

For Extra Help: http://www.purplemath.com/modules/solvelin.htm

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.

Solve the linear equation.

1) 4x - 10 = 26 1)

2) 7x - (5x - 1) = 2 2)

3) 10x + 1 = 9x + 7 3)

4) (3x - 1) - 3 = 4(x + 6) 4)

5) 6[-5x - 6 + 2(x + 1)] = -3x + 4 5)

6)x

4 = 

x

7 + 

7

46)

7)5x

3 - x = 

x

18 - 

7

67)

1

Page 6: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

Solve the formula for the specified variable.

8) A = 1

2bh for b 8)

9) F = 9

5C + 32 for C 9)

10) A = 1

2h(a + b) for a 10)

2

Page 7: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

ATM Algebra II Summer Assignment- Linear Functions and Slopes

For Extra Help: http://www.purplemath.com/modules/slope.htm, http://www.purplemath.com/modules/slopgrph.htm,

http://www.purplemath.com/modules/slopyint.htm

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.

Find the slope of the line that goes through the given points.

1) (-9, 3), (-3, -5) 1)

2) (-3, 7), (-3, -9) 2)

Use the given conditions to write an equation for the line in point-slope form.

3) Slope = 2, passing through (4, 2) 3)

4) Passing through (-3, -6) and (-4, -4) 4)

Use the given conditions to write an equation for the line in slope-intercept form.

5) Slope = 6

7, passing through (5, 5) 5)

6) Slope = 5

9, y-intercept = 2 6)

7) Passing through (2, 5) and (1, 8) 7)

Page 8: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

Graph the line whose equation is given.

8) y = 3x - 2

x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6

y654321

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

x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6

y654321

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

8)

9) y = - 2

5x - 1

x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6

y654321

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

x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6

y654321

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

9)

Graph the equation in the rectangular coordinate system.

10) x = 3

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

10)

2

Page 9: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

11) 4y = 8

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

x-5 -4 -3 -2 -1 1 2 3 4 5

y5

4

3

2

1

-1

-2

-3

-4

-5

11)

Graph the linear function by plotting the x- and y-intercepts.

12) -5x - 15y - 30 = 0

x-10 -5 5 10

y

10

5

-5

-10

x-10 -5 5 10

y

10

5

-5

-10

12)

Use the given conditions to write an equation for the line in the indicated form.

13) Passing through (5, 4) and parallel to the line whose equation is y = 2x - 6;

point-slope form

13)

14) Passing through (2, 2) and perpendicular to the line whose equation is y = 4x + 7;

point-slope form

14)

15) Passing through (2, 4) and perpendicular to the line whose equation is -7x + y - 7 = 0;

slope-intercept form

15)

3

Page 10: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

ATM Algebra II Summer Assignment- Linear Inequalities

For Extra Help: http://www.purplemath.com/modules/ineqlin.htm

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.

Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a

number line.

1) 4x + 3 < 23

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

1)

2) 2x - 6 ≥ 10 2)

3) 4x - 7 > 3x - 5 3)

4) 12x - 8 > 4(2x - 7) 4)

5)x

7 - 

1

6 ≤ 

x

4 + 3

-40 -32 -24 -16 -8 0 8 16 24 32 40-40 -32 -24 -16 -8 0 8 16 24 32 40

5)

1

Page 11: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

6)x

2 ≥ 

x

8 + 3 6)

Solve the compound inequality. Other than ∅, use interval notation to express the solution set and graph the solution set

on a number line.

7) 4 < 2x ≤ 14

-2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12-2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12

7)

8) 9 ≤ 7

2x + 2 < 30

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 101112131415-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 101112131415

8)

Solve the problem.

9) ABC phone company charges $20 per month plus 8¢ per minute of phone calls. XYZ

phone company charges $8 per month plus 10¢ per minute of phone calls. How many

minutes of phone calls in a month make XYZ phone company the better deal?

9)

10) Claire has received scores of 85, 88, 87, and 90 on her algebra tests. What score must she

receive on the fifth test to have an overall test score average of at least 87?

10)

2

Page 12: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

ATM Algebra II Summer Assignment- Solving Absolute Value Equations andInequalities

For Extra Help: http://www.purplemath.com/modules/absineq.htm

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.

Solve the absolute value equation or indicate that the equation has no solution.

1) x + 4  = 8 1)

2) 5x + 6  = 4 2)

3) 3 x - 3  = 18 3)

4) 6x + 4  + 2 = 7 4)

5) 8 - 3

4x  = 6 5)

1

Page 13: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

Solve the absolute value inequality. Other than ∅, use interval notation to express the solution set and graph the

solution set on a number line.

6) |x - 9| < 4

4 6 8 10 12 14 16 18 20 22 24 26 284 6 8 10 12 14 16 18 20 22 24 26 28

6)

7) |x + 5| + 1 ≤ 6 7)

8) |7x - 7| - 3 > -12

0 2 4 6 8 10 12 140 2 4 6 8 10 12 14

8)

2

Page 14: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

ATM Algebra II Summer Assignment- Systems of Linear Equations

For Extra Help: https://www.khanacademy.org/math/algebra2/systems_eq_ineq

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many

solutions, using set notation to express their solution sets.

1)

x + y = -1

y = -2x

1)

2)

y = 3x - 4

4y + 12x = -64

2)

3)

-5x + 4y = 6

x - 2y = 0

3)

4) y = 1

2x - 3

y = 1

6x - 11

4)

5) x + y = -1

x - y = 18

5)

1

Page 15: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

6) 3x + 2y = -3

-3x - 9y = 246)

7)  4x - 7y = 5

-12x + 21y = -10

7)

8) -3x + y = -2

-9x + 4y = -3

8)

9) 3x - 7y = 31

-7x + 4y = -23

9)

Solve the problem.

10) The manager of a bulk foods establishment sells a trail mix for $9 per pound and premium

cashews for $13 per pound. The manager wishes to make 200 pounds of a

trail mix-cashew mixture that will sell for $10 per pound. How many pounds of each

should be used?

10)

2

Page 16: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

ATM Algebra II Summer Assignment- Factoring and Solving Quadratic Equations

For Extra Help: https://www.khanacademy.org/math/algebra/quadratics

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.

Factor out the greatest common factor.

1) 5x2 - 15x 1)

Factor the trinomial, or state that the trinomial is prime.

2) x2 - 13x + 42 2)

3) x2 + 5x - 24 3)

4) 7x2 - 23x - 20 4)

Factor the difference of two squares.

5) x2 - 100 5)

6) 4x2 - 81 6)

Factor the perfect square trinomial.

7) x2 - 16x + 64 7)

8) 144x2 - 24x + 1 8)

Solve the equation by factoring.

9) x2 = x + 30 9)

10) x2 + 8x - 20 = 0 10)

1

Page 17: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

11) 7 - 7x = (4x + 9)(x - 1) 11)

Solve the quadratic equation by the square root property.

12) (x - 6)2 = 4 12)

13) 6x2 + 5 = 221 13)

14) 3(x - 8)2 = 6 14)

Solve the quadratic equation using the quadratic formula.

15) x2 + 2x - 80 = 0 15)

16) x2 + 4x = 7 16)

17) x2 + 5x + 1 = 0 17)

2

Page 18: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

ATM Algebra II Summer Assignment- Probability and Statistics

For Extra Help: https://www.khanacademy.org/math/probability

1

Show your work and/or explain your reasoning.

2

Show your work and/or explain your reasoning.

3

Show your work and/or explain your reasoning.

Page 19: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

4

Show your work and/or explain your reasoning.

5

Show your work and/or explain your reasoning.

Page 20: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

6

Show your work and/or explain your reasoning.

7

Show your work and/or explain your reasoning.

Page 21: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

8

Show your work and/or explain your reasoning.

9

Show your work and/or explain your reasoning.

Page 22: Algebra II Summer Assignmentteachers.dadeschools.net/sdaniel/Algebra 2 Summer... · Algebra II Summer Assignment Pre-AP Algebra 2 students and Honors Algebra 2 students must complete

10 Show your work and/or explain your reasoning.