benchmark test 2 chapters 4 to 5.pdf - Baylor School Email Page

Name ——————————————————————— Date ————————————
ALGEBRA
2
Benchmark Test 2
For use after Chapters 4–5
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
1. What is the solution to the inequality
6 1 2h . h 2 2
2
}
3 x 2 1
2
}
3 x 21
equation * }
1 2 x 2 7 * 5 5
2
}
3 x 21
12, 2 24, 224
24, 4 224, 24
2
}
3 x 21 5. The ordered pair (22, 4) is a solution to
which system of linear inequalities
y . x 1 2
y $ 22x 1 1
y . 2x 1 1
y , 2x 1 3
y # 2x 1 5
2524232221
0 1 2 3 4 5
y # 23x
y $ 22x
y . 2x 1 6
y
1
1
x
y
x $ 3 x # 3
y , x 1 2 y . x 1 2
1
1
y . 2 }
1
x
4 x y . 2 1 }
4 x
x # 3 x # 3
y , x 1 2 y , x 1 2
1
y , 2 }
4 x y . 2 1 }
4 x
h . 28 h . 24
h . 4 h . 8
2. What solution is graphed on the number
line
23 $ x . 2
23 , x # 2
23 # x , 2
23 # x or x , 2
3. Which ordered pair is a solution of
5x 2 2y . 6
(0, 22) (2, 23)
(21, 21) (2, 2)
4. Which inequality is shown in the graph
y $ 2
y . 2
y , 2
y # 2
6. Which system of linear inequalities is shown
in the graph
7. What is the solution to the absolute value
Algebra 2 Concepts and Skills
Assessment Book Benchmark Test 2
161

Name ——————————————————————— Date ————————————
ALGEBRA
2
Benchmark Test 2 continued
For use after Chapters 4–5
8. What is the solution of the absolute value
inequality |2x 1 5| . 25
x . 10 or x , 215
x . 10 or x . 215
x , 10 or x . 215
x , 10 or x , 215
12. What is the vertex and axis of symmetry
for the function y 5 x 2 2 4x 1 1
(2, 23); x 5 2
(22, 23); x 5 22
(4, 0); x 5 4
(0, 1); x 5 0
9. The recommended daily dosage of a vitamin
is between 25 mg and 35 mg, inclusive.
Which of these is an absolute value
inequality for this dosage range
|d 1 5| # 25
|d 2 25| # 10
|d 2 30| # 5
|d 2 5| # 30
10. What is the value of f(x) 5 2|x 1 4| 2 1
when x 5 26
25 23
3 5
11. What is the equation for this graph
y 5 3|x|
y 5 |23x|
1
y
1
x
y 5 2|3x|
y 5 |3x|
13. Which function intercepts the x-axis at
(23, 0) and (21, 0)
y 5 (x 2 3)(x 2 1)
y 5 23(x 1 1) 2
y 5 (x 1 3)(x 1 1)
y 5 (x 1 3) 2 2 1
14. Which quadratic function is shown in
the graph
y 5 2(x 1 3) 2 1 4
4y 5 23x 2
y 5 (x 1 3) 2 1 4
y 5 (x 1 4) 2 2 3
1
y
1
x
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
162
Algebra 2 Concepts and Skills
Assessment Book Benchmark Test 2

Name ——————————————————————— Date ————————————
ALGEBRA
2
Benchmark Test 2 continued
For use after Chapters 4–5
15. What is the correct factorization
of x 2 1 3x 2 10
(x 2 5)(x 1 2)
(x 1 5)(x 2 2)
(x 2 10)(x 1 1)
(x 1 3)(x 1 1)
20. What is the correct factorization of
9x 2 1 12x 1 4
(3x 22) 2
(3x 1 2)(3x 2 2)
(3x 1 2) 2
3x 1 2
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
16. What are the zeros of the function
y 5 x 2 1 2x 2 24
(6, 0) and (24, 0)
(26, 0) and (4, 0)
(22, 0) and (12, 0)
(22, 0) and (24, 0)
17. What is the correct factorization
of 6x 2 1 21x 1 9
(3x 1 3)(2x 1 3)
(6x 1 1)(x 1 9)
3(2x 1 1)(x 1 3)
3(x 1 1)(2x 1 3)
18. What are the solutions to the equation
12x 2 2 5x 2 2 5 0
1
2 }
5 and }
3 8
2
2 }
3 and }
1 4
1
2 }
4 and }
2 3
3
2 }
8 and }
2 7
19. What is the factored form of the expression
g 2 2 4
(g 2 2)(g 2 2)
(g 2 2)(g 1 2)
(g 2 4)(g 2 4)
(g 2 4)(g 1 4)
21. What is the solution of x 2 2 16x 1 64 5 0
216
28
8
64
22. What is (are) the solution(s) of
32x 2 1 80x 1 50 5 0
}
5 4
5
2 }
4
65
6 5 }
4
23. Which of the following is the expression
(7 1 2i) 2 (3 2 4i) as a complex number
in standard form
10i
4 2 2i
4 1 6i
9 2 7i
Algebra 2 Concepts and Skills
Assessment Book Benchmark Test 2
163

Name ——————————————————————— Date ————————————
ALGEBRA
2
Benchmark Test 2 continued
For use after Chapters 4–5
24. Which of the following is the expression
6 1 i
} written as a complex number in
4 2 3i
standard form
}
21
25 1 }
22i
25
27
}
13 2 24i
}
3 2 6 }
i 3i
21 1 22i
25. What are the solutions of 3x 2 1 17 5 89
62 Ï } 6
66 Ï } 2
624
672
26. What value of c creates a perfect square
trinomial for the expression x 2 1 14x 1 c
7
14
49
196
27. What is (are) the solution(s) of
x 2 2 8x 1 20 5 0
220
2, 6
4 6 4i
4 6 2i
28. What are the solutions of the equation
7x 2 2 11x 1 3 5 0
6 Ï } 37
211 6 Ï} 37
}
14
11 6 Ï} 37
}
14
}
3 2 , 1 }
14
29. Which equation has exactly one solution
3x 2 1 5x 1 7 5 0
3x 2 1 2x 2 1 5 0
4x 2 1 10x 2 5 5 0
4x 2 1 12x 1 9 5 0
30. How many real solutions does
4x 2 2 10x 1 9 5 0 have
No real solutions
One real solution
Two real solutions
Many real solutions
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
164
Algebra 2 Concepts and Skills
Assessment Book Benchmark Test 2