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Algebra 1B CBE Sample Exam
Write the letter for the correct answer of each question
in the blanks on the answer sheet
provided.
1. Solve 51 ≤ x – (38).
2. Solve 1.1t ≤ 4.62.
3. Solve 6y – 8 > 4y + 26.
4. Solve .
5. Which of the following is the graph of the solution set of 3 < 2x + 7 ≤ 13?
6. Which of the following is the solution set of  x – 3  = 6?
A. {9}
B. {3}
C. {3, 9}
D. {9, 3}
Use the following graph for questions 7 and 8.
7. The ordered pair (3, 2) is the solution of the system of
equations represented by lines
A. a and b. B. a and c. C. a and d. D. b and d. 
8. Lines c and d represent a system of equations. How many
solutions does this system
have?
A. exactly one
B. exactly two
C. none
D. infinitely many
9. Use substitution to solve the system of equations
.
A. {(1, 2)}
B. {(2, 1)}
C. {(2, 11)}
D. None of the above.
10. Use elimination to find the value of y in the system of equations
A. 1
B. 9
C. 11
D. 10
11. What is the value of x if the system of equations is solved by elimination ?
A. 1
B. 10
C. 4
D. 2
12. Which system of inequalities is graphed ?
13. What is the simplest form of ?
14. What is the simplest form of ? Assume the denominator is not equal to zero .
15. What is the simplest form of ?
16. What is the value of ?
17. What is the simplest form of ?
18. What is the simplest form of (2n – 3)(n + 4)?
19. Find the solution of 4(5 – 2n) = 8(6 – 5n).
20. Find the GCF of and .
21. If 4x^{2} – 13x + 3 is factored completely, one of the factors is
A. 2x – 3.
B. 2x – 1.
C. 4x – 3.
D. 4x – 1.
22. Factor 15x^{2} – 5x.
A. 5x(3x – 1)
B. 5(3x^{2} – x)
C. 5x(3x)
D. None of the above.
23. Factor 3m^{2} + 14m – 5.
A. (3m + 1)(m – 5)
B. (3m – 1)(m + 5)
C. (3m + 5)(m – 1)
D. (3m – 5)(m + 1)
24. What is the solution set of the equation 4x^{2} = 20x – 25?
25. What are the equation of the axis of symmetry and the
coordinates of the vertex of the
graph of y = 2x^{2} – 12x + 6?
A. x = 3; (3, 60)
B. x = 3; (3, 12)
C. x = 3; (3, 78)
D. x = 3; (3, 6)
26. Which of the following equations describes the
graph at the right?
A. y = x^{2} – 1 B. y = x^{2} + 1 C. y = x^{2} – 1 D. y = x^{2} 
27. What must be the value of c in the function y = x^{2} –
5x + c if its graph has a minimum
point of ?
28. How many real roots does n^{2} – 5n – 6 = 0 have?
A. none
B. one
C. two
D. cannot be determined
29. Solve 9x^{2} + 16 = 24x.
30. Simplify .
31. Solve
A. 2
B. 2 and
C. no solution
D. 9
32. Simplify
33. Solve
A. {4, 2}
B. {4}
C. {2}
D. no solution
Algebra 1B Sample CBE Answer Sheet
Name: ______________________________
Algebra 1B Sample CBE Answer Key
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