Download MATH 050 Prealgebra Practice Test 1 Introduction to Algebra

MATH 050
Prealgebra
Practice Test 1
Introduction to Algebra & Integers
Student fill in:
Name
Student Number
Date
Fill in this section after scoring your test.
Problem
Number
Number of
Section
Numbers
Wrong
Problems
1.7
1-6
6
1.8
7-11
5
1.9
12, 13
2
2.1
14-16
3
2.2
17-21
5
2.3
22-26
5
2.4
27-38
12
2.5
39, 40
2
2.6
41-47
7
Test 1
Total 47
Total Score: ______ Right out of 47 = ________%
DIRECTIONS for taking this Practice Test:
You WILL NOT be allowed to use a calculator when you take Post Test 1.
For best results DO NOT use a calculator on this Practice Test!
1. Do all assignments for Test 1 before you do this Practice Test.
2. You may take the Practice Test anywhere you do your coursework. While taking it, treat it as if it
were a real test:
• This means take the whole test at one time, without using your book or your notes. Do not ask
anyone for help.
• You may not get assistance from an Instructor until this test has been completed and scored.
3. SHOW all necessary WORK. Write your final answer in the space provided.
4. Score your Practice Test using the answer key.
5. Find your errors on any problems you missed. If you still need help, see your Instructor or another
classmate.
• Only Math Lab or Lab/Lecture students can work in the Math Lab Classroom or see a Math Lab
Instructor.
• Math Lab students must turn in this scored Practice Test at the Service & Testing Counter
when ready to take the Post Test.
For problems 1 & 2, translate using numbers and symbols. Do not simplify.
1. Five times n plus three.
1. _______________
2. Six times the sum of x and 2.
2. _______________
Fall 2007
MATH 050
Practice Test 1
Page 2
For problems 3 & 4, evaluate for the given numbers.
3.
2a − 5b for a = 10 and b = 1
3. _______________
4.
b x + 2g for x = 6
4. _______________
4
For problems 5 & 6, use the distributive property to simplify.
5.
6.
b g
5b x + 2g − 3
2 y −1
5. _______________
6. _______________
7. Combine like terms: 3x + 2 x − x
7. _______________
8. Write the perimeter of the rectangular figure as an algebraic expression,
then simplify.
8. _______________
4x
3x + 2y
9. Translate into an equation. Do not solve the equation.
If 3 is multiplied by a number, the result is fifteen.
9. _______________
For problems 10 & 11, solve and check your answer.
10. x − 2 = 5
10. _______________
11. 5x = 15
11. _______________
MATH 050
Practice Test 1
Page 3
12. George and his friends went to the movies. They purchased 2 adult tickets,
5 student tickets, and 2 child tickets. How much did they spend all together
on movie tickets?
12. _______________
Theater Ticket Prices
Adult
Student
Child
$10
$5
$2
13. Sue wants to add a decorative wallpaper border to her living room. Refer to
the diagram below for the dimensions of the room. How many feet of the
wallpaper border will she need?
13. _______________
8 ft
5 ft
15 ft
12 ft
10 ft
20 ft
14. Replace the ? with the correct inequality symbol < or >.
14. _______________
−6 ? 7
c b gh
15. Simplify: − − 5
15. _______________
16. State the absolute value: −3
16. _______________
For problems 17-19, add using the rules for addition of integers.
b g
−2 + b−10g
−5 + 2 + b−3g + 4
17. 5 + −10
17. _______________
18.
18. _______________
19.
19. _______________
MATH 050
Practice Test 1
Page 4
20. Evaluate − x + 5 for x = 2.
20. _______________
21. The temperature at 3 p.m. was −6°F. By 8 p.m. the temperature had dropped
another 6 degrees. What was the temperature at 8 p.m.?
21. _______________
For problems 22 & 23, subtract.
b g
22. 2 − −3
22. _______________
23. 2 − 5
23. _______________
b g
24. Perform the necessary operations: −3 + 5 − −1
24. _______________
25. Evaluate 2 + x − y for x = −2 and y = 1 .
25. _______________
26. Find the difference between a boiling point of 220°F and a freezing point
of −45°F.
26. _______________
For problems 27 & 28, multiply.
b g
−5b −1g
27. 5 −1
27. _______________
28.
28. _______________
29. Determine the sign of the product of the following integers (positive OR
negative). Do NOT multiply!
b gb gb
gb gb g
−1 −35 42 −210 27 3
29. _______________
MATH 050
Practice Test 1
Page 5
b gb g
30. Multiply: 2 −2 −5
30. _______________
For problems 31-34, evaluate.
31.
b−2g
2
32. −2 2
33.
34.
31. _______________
32. _______________
b−1g
b−1g
6
33. _______________
13
34. _______________
For problems 35 & 36, divide.
35.
−10
−2
35. _______________
b g
36. 15 ÷ −5
36. _______________
For problems 37 & 38, evaluate for a = −6 and b = −3.
37.
−a
b
38. b 2
37. _______________
38. _______________
MATH 050
Practice Test 1
Page 6
For problems 39 & 40, simplify.
b g
39. _______________
b g
40. _______________
39. −1 + 5 −2
40. 2 + 3 3 − 5
For problems 41-45, simplify.
41. 3a − 8a
41. _______________
42. −2 x − 3x
42. _______________
b g
43. 3x + −2 x
43. _______________
44. −6a − 5b − a + 2b
44. _______________
b g
45. _______________
45. −2 a + 4
For problems 46 & 47, evaluate for x = 6 and y = −2 .
46. x − 2 y
47.
x+y
2
46. _______________
47. _______________
MATH 050
Practice Test 1
Answers
1. 5n + 3
2.
b g
6 x+2
25. −1
26. 265°F
3. 15
27. −5
4. 2
28. 5
5.
2y − 2
6. 5x + 7
7.
4x
8. 14 x + 4 y
9.
3x = 15 (any variable acceptable)
10. x = 7
11. x = 3
12. $49
13. 70 ft
14. <
15. 5
16. 3
17. −5
18. −12
19. −2
20. 3
21. −12°F
22. 5
23. −3
24. 3
29. negative
30. 20
31. 4
32. −4
33. 1
34. −1
35. 5
36. −3
37. −2
38. 9
39. −11
40. −4
41. −5a
42. −5x
43. x
44. −7a − 3b
( −3b − 7a is also acceptable)
45. −2a − 8
( −8 − 2a is also acceptable)
46. 10
47. 2
Fall 2006