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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 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

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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