# Algebra II CP Midterm Exam Review Packet Midterm Exam Review Packet Name:_____ Hour:_____ ALGEBRA II-CP

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• Algebra II CP

Midterm Exam Review Packet

Name:______________________

Hour:______________

• ALGEBRA II-CP Name___________________________________

Midterm Review - Ch. 1, 2,3

Solve each equation.

1. 8(–12y + 10) = 92 – 6(16y + 2) 2. 7x + 3 = 2(x – 1) 3. 10

4

5 

x

4. 9 5

3  x 5. 4t – 12 = –t + 11 6. 6x – 10 – (x + 5) = 0

7. What is the slope of the line whose equation is 4x – 5y = 10?

8. What is the slope of the line passing through (2, 6) and (-9, 8)?

9. For which pair of equations are the lines perpendicular?

A. 2x – y = 1 and xy 2

1  B. 6x + 3y = 10 and 3x – 6y = 10

C. y = 5x and y = -5x D. 3x + 2y = 1 and 2y = 3x + 8

10. For which pair of equations are the lines parallel?

A. y – 5 =3x and 2y – 6x = –12 B. 5x + 3y = 15 and 3x + 3y = 15

• Find the equation of the line in any form satisfying the following conditions.

11. Passes through ( 2 , 6 ) and is parallel 12. m = 0 passes through ( 1 , -8 )

to -5x + 2y = 7

13. Passes through ( -1 , 2 ) and ( -5 , -3 ) 14. Passes through ( 0 , 4 ) and is perpendicular to y = 6x - 7

Solve by these systems by graphing by hand (please sketch graph).

15. –2x + y = –7 16. x + 4y = 4

3x – 4y = 8 y = - 4

1 x + 5

Solve by substitution

17. 2x – y = –1 18. 5x + 3y = 8 19. x + 2y = 12

y + x = 4 5x + y = 16 4x + 8y = -19

Solve by elimination 20. x – y = 7 21. 5x – 7y = –2

2x + y = 5 3x + 2y = 36

• 22. For which system are there infinitely many solutions?

A. 3x + 5y = 7 B. x – 5y = 7 C. 3x – y = 8 D. 2x – y = 1 6x + 10y = 14 2x = 10y + 15 3x + y = 10 y = 2x – 3

Define TWO variables, write TWO equations and solve by substitution or elimination. Show all work for full credit!

23. The sum of two numbers is 106. One number is five less than twice the other.

What are the two numbers?

24. At McDonald’s, 2 burgers and 2 fries cost \$5.50. If you order 3 burgers and 4 fries it cost \$9.25.

How much does one burger cost? One order of fries?

25. The perimeter of a rectangular garden is 168 ft. The length of the garden is 30 more than 5 times the width.

What are the dimensions of the garden? (You must have two equations!)

26. Ticketmaster sells pavilion and lawn tickets to Pine Knob. A total of 5,000 tickets were sold for a concert. The

pavilion tickets cost \$20 each and the lawn tickets cost \$15 each. The sales for all tickets totaled \$82,500. How many of

each type of ticket were sold?

• Algebra II: Chapter 4 Midterm Review Name _______________________________________________

Multiple Choice: Select the letter that best answers the question.

1. Determine the vertex and axis of symmetry of the

  1264 2  xy

2. Determine the vertex and the maximum or minimum

3 2

1 2  xxy

1. _____

2. _____

A. Vertex:  12,6 

Axis: 6x

B. Vertex:  12,6

Axis: 12x

A. Vertex:  5.1,1 

Max. Value: 5.1

B. Vertex:  3,1 

Max. Value: 3

C. Vertex:  12,6 

Axis: 6x

D. Vertex:  12,6

Axis: 6x

C. Vertex:  5.4,1 

Min. Value: 5.4

D. Vertex:  5.3,1 

Min. Value: 5.3

Determine whether the equation is in Vertex, Intercept, or Standard form. Then, find the indicated values and graph each equation. Don’t forget to draw the axis of symmetry!

3. 4123 2  xxy

4. 3105 2  xxy Vertex or Intercept or Standard Vertex or Intercept or Standard

Opens __________ Opens __________

Vertex  ,

Vertex  ,

Axis of Symmetry __________

Maximum or Minimum

Value ___________

Axis of Symmetry __________

Maximum or Minimum

Value ___________

• Determine whether the given equation is in Vertex, Intercept, or Standard Form.

5.   152  xxy

6. 23 2

1 )( 2  xxxf

7.   33 4

1 2  xy

Vertex or Intercept or Standard Vertex or Intercept or Standard Vertex or Intercept or Standard

Multiple Choice: Select the letter that best answers the question. 8.

Simplify xx 8326 4 

8. ______

A. xx248

B. xx296 C. xx96

D. xx 4192 2

9.

Simplify   526134 

9. ______

A.

532026624 

B.

532026624 

C.

5514624 

D.

532026624 

10.

Simplify    ii 763217 

11. _____

A. i2335

B. i191 C. i923 D. i2325 

11.

Simplify i

i

3

254 

12. _____

A. 3

2

3

54 

i

B. 3

2

3

54 

i C.

3

2

3

54 ii  D.

3

2

3

54 i 

Use what you know about simplifying square roots and the properties of i to answer the following questions. Make sure that all denominators are rationalized and each root is completely simplified.

12.    ii 3623 

13.   511511 

14.

54

2

15. i

i

12

153

• 16.

Simplify: 21

7

17.

Simplify: i

i

8

102 

18.

Find the value of the discriminant and describe the zeros of: 823 2  xx

18._____

A. D = 100

2 real zeros

B. D = 100

1 double zero/root

C. D = − 94

2 imaginary zeros

D. D = 96

2 real zeros

19.

Find the solutions/zeros of: 2x 2 − 4x + 3 = 0

19._____

A. 22 i B. i1 C. 22 i

D. 2

2 1

i 

20.

Find the solutions/zeros of: 2x 2 − 5x − 3 = 0

• Algebra II: Chapter 5 Midterm Review Name _______________________________________________

Evaluate or simplify the expression completely. 1.

  2405 57 eheh

2.

2

6

05  

  

   db

a

3.

23

56

16

34 



dc

dc

4.

  3274 yx

5.

  1811 310  xwxw 6.

04

73

13

39

cb

cb 

7.

Which of the following expressions is equivalent to: cab

bca 3

12

12

8 

7. _____

A. 3

2 22cab

B. 223

2

cb

a C.

23

2

b

a D.

bc

a

3

2

8.

Which of the following expressions is equivalent to:    23624 223 

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