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. |
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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 4x2 – 13x + 3 is factored completely, one of the factors is
A. 2x – 3.
B. 2x – 1.
C. 4x – 3.
D. 4x – 1.
22. Factor 15x2 – 5x.
A. 5x(3x – 1)
B. 5(3x2 – x)
C. -5x(-3x)
D. None of the above.
23. Factor 3m2 + 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 4x2 = 20x – 25?

25. What are the equation of the axis of symmetry and the
coordinates of the vertex of the
graph of y = 2x2 – 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 = x2 – 1 B. y = x2 + 1 C. y = -x2 – 1 D. y = x2 |
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27. What must be the value of c in the function y = x2 –
5x + c if its graph has a minimum
point of
?

28. How many real roots does n2 – 5n – 6 = 0 have?
A. none
B. one
C. two
D. cannot be determined
29. Solve 9x2 + 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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