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Review Problems for Final Exam Algebra 1 Second Semester
1. Simplify:
2. Simplify:
.
.
3. Simplify:
4. Patricia has saved $625. She is starting a part-time job that pays her $350 a week,
and she plans to save all of the money she earns. Write an algebraic expression that can
be used to represent Patricia's total savings after x weeks?
5. Jax receives a $35.00 gift card to a local café. His favorite drink at the café costs $2.95. If Jax
buys his favorite drink every day, write an algebraic expression that can be used to represent
the value on the gift card after d days?
6. Write an expression that can represent "five less than three times x"?
7. Write an expression that can represent "eight more than one-tenth a"?
8.
9.
10. Simplify:
11. Simplify:
12. Simplify:
13. Simplify:
14. Israel added $80 to his savings. This added amount represents of his total savings. If s
represents the total savings, write an equation that could be used to determine the value of s?
15. Sherrie receives 5 times as many phone calls as Carrie, and Carrie receives 5 less calls than
Mary. If the total number of combined calls for them was 68, how many calls did Mary receive?
16. The sum of three consecutive integers is
. Determine the smallest integer.
17. Solve:
18. Solve:
19. Solve:
20. Solve:
.
21. Which graph shows the solution to the following inequality?
A.
B.
C.
D.
22. Solve:
23. Solve:
24. Solve:
25. Which graph shows the solution to the inequality?
A.
B.
C.
D.
26. Solve:
.
27. What is the slope of the line graphed below?
28. Use the intercepts from the graph below to determine the equation of the function.
29. Which set of ordered pairs belongs to a linear function?
A.
B.
C.
D.
30. Write the equation of the line graphed below?
31. What is the slope and y-intercept of the line represented by the equation below?
32. What is the equation of the line, in slope-intercept form, that goes through the point
with
?
33. What is the equation of the line that is parallel to
the point
and goes through
?
34. What is the equation of the line that is perpendicular to
through the point
?
and goes
35. Write the system of equations represented by the graph below?
36. Graph the following system of equations:
37. Use the substitution method to find the solution to the system of linear equations.
38. Use the substitution method to find the solution to the system of linear equations.
39. Use the elimination method to solve the system of linear equations.
40. Use the elimination method to solve the system of linear equations.
41. Write the system of inequalities that is represented by the graph below?
42. Graph the following system of linear inequalities
43. Write the equation for the transformed parent function represented in the graph?
44. Completely factor the polynomial
.
45. Completely factor the polynomial
.
46. Completely factor the polynomial by grouping
.
47. Completely factor the polynomial by grouping
.
48. Completely factor the polynomial
.
49. Completely factor the polynomial
.
50. Completely factor the polynomial
.
51. Completely factor the polynomial
.
52. Completely factor the polynomial
.
53. Completely factor the polynomial
54. Completely factor the polynomial
.
.
55. Completely factor the polynomial
.
56. Write the equation of the graph below?
57. Graph of the quadratic equation
?
58. What are the solutions for x when y is equal to 0 in the following quadratic function?
59. Simplify:
.
60. Simplify:
.
61. Solve:
.
62. Solve:
63. Solve:
.
.
64. Solve the equation by completing the square
.
65. Solve the equation by completing the square
.
66. Solve by using the quadratic formula
67. Solve by using the quadratic formula
.
.
68. How many real solutions does the equation
69. Solve for x:
70. Solve for p:
71. Solve for y:
have?
.
.
.
72. What is the midpoint between the points (–3, 9) and (5, 1)?
73. What is the distance between (1, 3) and (5, 6)? Round to the nearest tenth, if necessary.
74. What is the length of the hypotenuse of this triangle? Round to the nearest tenth.
75. What is the length of the hypotenuse of this triangle? Round to the nearest tenth.