Algebra 1 Competency Exam Pretest – Mixed Format
1. Evaluate:
3 1
5
0
3
7 2
0 4
A.
 24  5
5
12
Name ________________________
B.
 24
7
5
12
C.
 24
7
5
 12
1. ________
Rewrite with exponents: 2 ∙ u ∙ u ∙ u ∙ 7 ∙ p
A. 9u p
B. 14up C. 14u p
3
If u = -2, find the value of u - u² + 3u – 6.
A. -24 B. -8
C. -12
D. 4
Evaluate: 6(m² - m) for m = -3
A. -72 B. 0
C. 36
D. 72
Find the algebraic expression that means “eight more than triple n.”
A. 3n – 8
B. 8n – 3
C. 8(3) + n
D. 3n + 8
6. Write an algebraic expression for: seven less than double a number m.
A. 2m – 7
B. 7m – 2
C. 7(2) – m
D. 2m + 7
Test Scores
7. Write an algebraic expression for triple the sum of 8 and a.
A. 3(8) + a
B. 3a + 8
C. 3(a + 8)
D. 3(a – 8)
90
8. How many less points did the student earn on Test 3 than Test 2?
80
A. 15
B. 3
C. 17
D. 7
70
9. Which property is demonstrated by 3a(b + c) = 3ab + 3ac?
a. Associative
b. Commutative
c. Distributive
60
Test 1
Test 2
Test 3
Test 4
10. Which property is demonstrated by 3a(b + c) = 3a(c + b)?
Test
a. Associative
b. Commutative
c. Distributive
d. Identity
11. Which property is demonstrated by 3a+ (b + c) = (3a + b) + c?
a. Associative
b. Commutative
c. Distributive
d. Identity
12. Simplify: -2 (4a - 3c). A. -8a + 3c
B. -8a + 6c
C. 8a + 6c
D. -8a - 6c
21m  35n
13. Simplify:
A. 3m – 5n
B. 14m – 28n C. 147m – 245n
7
14. Five adults and 4 teenagers are ready to enter a room. If they enter in a random
fashion, what is the probability that teenager will enter the room first?
4
5
5
A.
B.0
C.
D.
9
9
4
15. Find the probability of selecting a pink marble from a bag containing 5 yellow, 3
green, and 7 pink marbles.
7
8
7
A.
B.0
C.
D.
15
15
8
16. Each of the numbers 35 to 45 is written on a piece of paper and placed into a hat.
If one piece is removed, what is the probability that the number on the piece of
paper is odd?
1
6
5
6
A.
B.
C.
D.
2
45
11
11
17. What are the coordinates of the point shown? A. (2, 4) B. (-2, 4) C. (2, -4) D. (-2, -4)
3
Score
2.
3.
4.
5.
3
2
18. Of the following points, which one is on the graph y   x  5 ?
3
A. (3, 7)
B. (9, -1)
C. (0, -5) D. (-3, 3)
2. ________
3. ________
4. ________
5. ________
6. ________
7. ________
8. ________
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18. ________
19. ____________
19. Simplify: -3.12 + 5.4
20. Simplify: 32 – 47
21. Find 8 – 5(6 – 2).
22. Find 3 + 2(8 – 3)  5 – (3 + 2)
23. Find M given the formula M = ½ (J + j)v, where J = 6, j = 3, and v = 10.
24. Solve p – 5 = 4
25. Solve the equation: 4x – 3 = 33
4
26. Solve:  t  12
3
27. Solve: 3m + 7 = 12m
28. Solve: 7 – 3n – 5 = 5n + 23 – n
29. Solve the equation: 4(8p – 10) = -12
30. Solve: 3(v – 4) + 5v = 8v – 2(v – 7)
31. Solve: 18 = -9(2j – 4)
32. Solve: 5 + 8n – 20 = 9n + 4(6 – n)
33. Solve 7m – n = 14 for n.
34. What is the mpg (miles per gallon) for a car that travels 250 miles on 10 gallons?
4
35. Which point is on the line y  x  3 ? A. (0, 3) B. (4, -3) C. (5, 1)
5
36. Find the equation of a line that has a slope of 5 and a y-intercept of 3.
5
37. Graph y  x  4
3
38. Graph y = 2
39. Graph x = -3
40. Graph 3x + y – 4 = 0
41. Find the slope of the line that passes through the points (5, 3) and (4, -6).
42. Determine the domain of the relationship.
x -2
-1
0
1
y -3
0
1
5
43. Does the table of values represent a function?
x -2
-1
0
1
y -3
-3
1
5
1
44. Write the equation of the line: slope = containing the point (10, 2).
5
45. Write the equation of a line that is horizontal and passes through the point (-2, 5)
46. Write the equation of a line that is vertical and passes through the point (-5, -1).
47. Write the equation of a line that passes through (7, 2) and (-3, 2).
48. Write the equation of a line that passes through (-5, 8) and (-5, 0).
49. The college culture class is planning a trip that costs $250 per student. If $35,750
has been collected from students for the trip, how many have paid for the trip?
50. 10 less than twice a number is the same as four times the number. What is the number?
37.
38.
39.
40.
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37. Graph below.
38. Graph below.
39. Graph below.
40. Graph below.
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