CORONA-NORCO UNIFIED SCHOOL DISTRICT
ALGEBRA I
1ST SEMESTER REVIEW
DIRECTIONS: Solve each problem. Find the answer that matches your solution. Use a number 2 pencil to fill in the letter on your scantron, making certain that you fill in the bubble completely. If you need to erase, be sure to erase completely.
DO NOT USE CALCULATORS
Revised June 08
1. Simplify
A. 0
B. -9
C. -6
D. -13
2. If what is the value of x?
A. -3 or 3
B. -3 or 0
C. 0 or 3
D. -9 or 9
3. Translate “Two less than half the number, a” into a variable expression?
A.
B.
C.
D.
4. What is the multiplicative inverse of -?
A.
B.
C.
D.
5. Which equation is equivalent to:
A.
B.
C.
D.
6. Which equation is equivalent to: .
A.
B.
C.
D.
7. Solve:
A. -7
B. 7
C. -13
D. 13
8. Solve .
A.
B.
C.
D. Not given
9. Solve:
Step 1:
Step 2:
Step 3:
Step 4:
Which is the first incorrect step in the solution shown above?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
10. Solve:
A. -5
B. 5
C.
D. 0
11. The length of a rectangle is 7 cm more than its width. The perimeter of the rectangle is
54 cm. Find the length.
A. 10 cm
B. 17 cm
C. 26 cm
D. 27 cm
.
12. Six less than five times a number is 74.
Find the equation used to solve for the number n and the number.
A.
B.
C.
D.
13. Solve:
A.
B.
C.
D.
14. Kareem is signing a contract for a fitness center. The fitness center charges a $150 membership fee and $50 per month. The following equation represents C, the total cost of membership where m is the number of months for the membership:
If Kareem paid $300 for a membership, how many months has he been a member?
A. 3
B. 6
C. 1
D. 9
15. An Olympic pin collector already has 35 pins in her collection and she acquires 8 new pins each month. How long will it take before she has 155 pins in her collection?
A. 8 months
B. 14 months
C. 15 months
D. 27 months
16. A bus travels 600 miles in 8 hours and goes another 200 miles at 40mph. How much time will it take to travel the 800 miles?
A. 10 hours
B. 6 hours.
C. 15 hours.
D. 13 hours.
17. Two trains leave a station at the same time, heading in opposite directions. One train is traveling at 70 km/h, the other at 60 km/h. How long will it take for the trains to be 312 km apart?
A. 2 hrs
B. 2.4 hrs
C. 3 hrs
D. 3.5 hrs
18. If 800 mL of a juice drink is 15% grape juice, how much grape juice should be added to make a drink that is 20% grape juice?
A. 5 mL
B. 35 mL
C. 50 mL
D. 40 mL
19. If Debbie can paint the house alone in 6 hours and Jeff can paint the house alone in 4 hours, how long will it take if they both worked together?
A. 2.4 hrs
B. 2 hrs
C. 3 hrs
D. 5.2 hrs
20. Sydney and Grace are solving math puzzles to review for a test. Sydney can do a puzzle in 1 hour and 10 minutes. Grace can do the same puzzle in 30 minutes. If the teacher partners them together, how long will it take them to finish the puzzle together?
A. 60 minutes
B. 43 minutes
C. 36 minutes
D. 21 minutes
21. How many liters of water must a pharmacist add to a two-liter bottle of cough syrup mixture that is 90% water and 10% active ingredients to make a mixture that is 95% water?
A.
B. 1
C. 2
D.
22. Which graph represents the solution of
A.
B.
C.
D.
23. Which of the following is the graph of the
solution of ?
A.
B.
C.
D.
24. What are the solution(s) for a:
A. 1
B. 9
C. 1 or -1
D. 9 or -9
25. Solve:
A.
B. or
C. or
D.
26. Which of the following ordered pairs is a solution to the equation ?
A.
B.
C.
D.
27. Which point lies on the line defined by
A.
B.
C.
D.
28. What is the equation of the line that has a slope of 6 and passes through the point ?
A.
B.
C.
D.
29. Which equation in point-slope form passes through the point and has a slope of
A.
B.
C.
D.
30. What is the equation of the line that passes through and
A.
B.
C.
D.
31. The data in the table shows the cost of renting a
video game by the day, including a deposit.
Days (d) Cost in Dollars (C)
3 32
6 59
9 86
If days (d) were graphed on the horizontal
axis and cost (C) were graphed on the
vertical axis, what would be the equation of
line that fits the data?
A. C = 3d -27
B. C = 6d+27
C. C = 9d +5
D. C = 6d -5
32. What is the domain of the function shown on the graph below?
A.
B.
C.
D.
33. Find the slope of the line through the points.
A.
B.
C.
D.
34. What is the y-intercept of the line ?
A.
B.
C.
D.
35. What is the x-intercept of the line
A. 3
B. 5
C. 2
D. 4
36. What is the slope of the line graphed below?
A. 3
B.
C.
D.
37. Which inequality is shown on the graph below.
A.
B.
C.
D.
38. Which graph shows the following equation:
?
A.
B.
C.
D.
39. Which graph shows the following inequality
?
A.
B.
C.
D.
40. The equation of line l is and the equation of line m is . Which statement about the two lines is true.
A. Lines l and m are parallel.
B. Lines l and m have the same y-intercept.
C. Lines l and m have the same x-intercept.
D. Lines l and m are perpendicular.
41. Which equation represents a line that is
perpendicular to
A.
B.
C.
D.
42. Solve the system by substitution.
A.
B.
C. no solution
D.
43. Solve the system of equations by elimination.
A.
B.
C.
D.
44. Solve the system by elimination.
A.
B.
C.
D.
45. 3 pizzas and 4 sandwiches cost $34. 3 pizzas and seven sandwiches cost $ 41.50. How much does a pizza cost?
Which system of equations would be used to
answer the question above if p represents the number of pizzas and s represents the number of sandwiches?
A.
B.
C.
D.
46. Which is the graph of the system?
A.
B.
C.
.
D.
.
47. Graph:
A.
B.
C.
.
D.
.
48. In which of the following sets of ordered pairs is y a function of x?
A.
B.
C.
D.
49. Which system of inequalities is shown by this graph?
A.
B.
C.
D.
50. Which of the following relations is a function?
A.
B.
C.
.
D.
.
Revised June 08