a. b. 12 c. d. - mi01000971.schoolwires.net filesolve the following equation for y: 5x 2y 4 a. 2 2 5...

Algebra II

Midterm Review Chp. 1 Name ____________________________________

Choose the BEST answer for each multiple choice question.

1. What is the value of the expression 34

A. 12 B. −12 C. 64 D. −64

2. Evaluate 352 2 xx when x = 4.

A. −49 B. −9 C. 49 D. 55

3. Simplify the expression xx 41

A. 15 x B. 15 x C. 13 x D. 13 x

4. Solve the following equation: 14

2

1x

A. −3.5 B. −2 C. 4.5 D. 6

5. Solve the following equation for y: 425 yx

A. 22

5 xy B. 2

2

5 xy C. 452 xy D. 25 xy

Midterm Review Chp. 2


1. Which relation is NOT a function?

A. B. C. D.

2. What is the domain of {(–3, –4), (5, –2), (8, 6)}?

A. {6, −2, −4} B. {8, 5, −3} C. {5, 8} D. {8, 6, 5, −2, −3, −4}

3. Evaluate xxxf 22 when x = −1?

A. −3 B. −1 C. 1 D. 3

4. Find the slope of the line that passes through the points (−1, 4) and (6, 5).

A. 7

1 B.

5

1 C.

7

1 D.

1

7

5. Which function does the graph represent?

A. 12 xy B. 12 xy C. 12 xy D. 12 xy

6. What is the slope of a line that is parallel to 83 xy ?

A. 3

1 B.

3

1 C. 3 D. −3

7. What is the equation of the line that is perpendicular to 3 xy and passes through (−1, −2)?

A. 1 xy B. 1 xy C. 1 xy D. 1 xy

8. Which graph shows a positive correlation? A.

B.

C.

D. None of these show positive correlation.

9. The graph of which inequality is shown below?

A. xy 2 B. xy 2 C. xy 2 D. xy 2



1. Write the quadratic equation in standard form: 312 xy

A. 22 xy B. 422 xxy C. 222 xxy D. 422 xxy

2. If the graph of a quadratic equation opens up, then which of the following do you know is true?

A. a is positive B. a is negative C. c is positive D. c is negative

3. What is the vertex of the following quadratic equation? 27102 xxy

A. (−10, −7) B. (5, 2) C. (−5, 2) D. (5, −7)

4. What is the vertex of 3122 xy

A. (−1, −3) B. (−1, 3) C. (1, −3) D. (1, 3)

5. Identify the y-intercept of 32122 xxy .

A. (32, 0) B. (−32, 0) C. (0, −32) D. (0, 32)

6. Determine the axis of symmetry of 27102 xxy

A. x = 5 B. x = −10 C. x = 27 D. x = −5

7. Determine which equation is represented by the given graph.

A. 4122 xy B. 412

2 xy C. 142

2 xy D. 142

2 xy

8. Factor the expression: 2762 xx

A. 93 xx B. 93 xx C. 93 xx D. 93 xx

9. Factor the expression: 15812 2 xx

A. 3256 xx B. 3256 xx C. 5334 xx D. 5334 xx

10. Factor the expression: 9216 2 xx

A. 1233 xx B. 1323 xx C. 3123 xx D. 133 xx

11. What are the solutions of the equation 030112 yy

A. −5, 6 B. −6, −5 C. −6, 5 D. 5, 6

12. What are the solutions of the equation xx 102

A. 0, 10 B. 0, −10 C. −2, 5 D. −5, 2

13. Simplify the expression completely: 50

A. 52 B. 225 C. 25 D. 252


A. 806 B. 2012 C. 524 D. 1048


A. −2 B. 2 C. 4i D. 2i

16. Rationalize the denominator:

3

4

A. 2

3 B. 2 C.

3

32 D.

3

12

17. Find the solutions of the equation: 3252x

A. 245 B. 21 C. 24 D. 11

18. Rationalize the denominator:

i1

2

A. 1−1i B. 2−2i C. 2i D. 3i

19. Simplify the expression: ii 3423

A. i51 B. i1 C. i7 D. i57

20. Simplify the expression: ii 324

A. 22212 ii B.

22212 ii C. i210 D. i214

21. Find the solutions of 01142 xx by using the quadratic formula.

)(2

))()(4()()( 2

a

cabbx

A. 347 B. 3167 C. 347 D. 3167

22. Find the discriminant and use that to describe the nature of the roots. 0144 2 xx

A. 2 imaginary roots B. 1 real root C. 2 real roots D. 3 real roots



1. Which expression is equivalent to 53 22 ?

A. 24 B. 152 C. 82 D. 84

2. Which expression is equivalent to 43x ?

A. 12x B. 7x C. 1x D. 1x

3. Simplify

2

13

15

zy

x

A. 26

25

xy

z B.

2

265

x

zy C.

26

225

xy

z D.

2

2625

x

zy

4. Simplify

cab

bca3

12

12

8

A. 3

2 22cab B.

223

2

cb

a C.

23

2

b

a D.

bc

a

3

2

5. Which expression is equivalent to ? )46()743( 3424 xxxxxx

A. 73 3 x B. 736 23 xx C. 7836 23 xxx D. 783 3 xx

6. Multiply 425 2 xxx

A. 209112 23 xxx B. 201192 23 xxx C. 209112 23 xxx D. 209112 23 xxx

7. Use synthetic division to find the quotient: 2643 23 xxxx ?

A. 22 xx B. 32 xx C. 2

222

xxx D.

2

222

xxx

8. Factor the polynomial completely: 365 24 xx ?

A. 312 22 xx B. 49 22 xx C. 433 2 xxx D. 66 22 xx

9. How many turning points does the polynomial graphed below have?

A. 2 B. 3 C. 4 D. 5

10. Determine the end behavior of the graph.

A.

y x

y x

B.

y x

y x

C.

y x

y x

D.

y x

y x

11. How many REAL zeros does the polynomial that is graphed below have?

A.1 B. 2 C. 3 D. 5


1. Which equation is graphed at the right?

A. 1

3

xy B. 2

3

xy C. 2

1

1

xy D. 2

1

3

xy

2. What are the asymptotes of the function 12

3

xy .

A. 1,2 yx

B. 1,2 yx

C. 2,1 yx

D. 2,1 yx

3. Determine the domain of the function: 4

3

x

xy

A. ARN except 4

B. ARN except -4

C. ARN except 3

D. ARN except -3

4. Find the product: 2

2

2 4

3

4

2

x

xx

x

x

.

A. 24

32

2

xx

xx B.

44

32

xx

x C.

24

3

xx

x D.

44

322

xx

xx

5. Find the quotient: 5

1

152

92

2

x

x

xx

x.

A. 1

3

x

x B.

25

13

x

xx C.

3

1

x

x D.

13

92

xx

x

6. Simplify

34

6333

6

2

2

xx

xx

xx

.

A.

9

32

x B.

3

92 x C.

2

2

1

2

x

x D.

1

42

2

x

x

7. 3

5

2

4

aa

A. 6

25 a B.

5

92 a C.

6

202 a D.

2

3a

8. Simplify 7

5

49

22

xx

x

A. 77

52

xx

x B.

77

357

xx

x C.

7

52

x

x D.

77

357

xx

x

9. Solvex

x

x

52

1 .

A. 2

B. 4

C. 2, 4

D. No solution

10. 12

15

3

nn

A. 5

B. 1 C.

3

5

D. 3

Answers: Chapter 1 1) D 2) B 3) A 4) D 5) B Chapter 2 1) C 2) B 3) D 4) A 5) C 6) C 7) A 8) C 9) B Chapter 5 1) C 2) A 3) B 4) A 5) D 6) A 7) B 8) A 9) A 10) C 11) D 12) A 13) C 14) C 15) D 16)C 17) A 18) A 19) A 20) D 21) C 22) B Chapter 6 1) C 2) A 3) C 4) B 5) B 6) A 7) D 8) C 9) A 10) A 11) C Chapter 9 1) D 2) C 3) B 4) C 5) A 6) A 7) A 8) B 9) B 10) A

a. b. 12 c. d. - mi01000971.schoolwires.net filesolve the following equation for y: 5x 2y 4 a. 2 2 5...

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