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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
Choose the BEST answer for each multiple choice question.
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
Midterm Review Chp. 5
Choose the BEST answer for each multiple choice question.
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
14. Simplify the expression completely: 10283
A. 806 B. 2012 C. 524 D. 1048
15. Simplify the expression completely: 4
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
Midterm Review Chp. 6
Choose the BEST answer for each multiple choice question.
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
Midterm Review Chp. 9
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