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Algebra I
First Semester Exam Review
Name _______________
3
1. Find the value of 4 + 10x – x when x = 2.
A. 32
B. 16
C. 8
D. –11
2. – (–4) – (–6) + –11 = _______
A. –21
B. 21
C. -13
D. –1
B. –6
C. 6
D. –12
3. Solve: –3 = 9 + x
A. 12
4. Which equation describes eight more than twice a number is twelve?
A. 8 – 2x = 12
B.
x
+ 8 = 12
2
5. What is the equation of line B?
A. x = 2
B. x = –2
C. y = 2
D. y = –2
C. 2x + 8 = 12
D. 2x – 8 = 12
B
6. An equation of the line whose slope is -2 and whose y-intercept is 6 is:
A. y = -2x + 6
B. y = -2x - 6
C. y = 6x + 2
D. y = 6x – 2
B. x > –4
C. x < -8
D. x > 8
C. 5
D. 1
7. Solve: 8x + 6 < 5x - 18
A. x < –4
8. Find the value of 4y2  5 + 15 when y = 5.
A. 65
B. 35
9. Is x = 2 a solution of the equation 2x – 4 = 8 + x?
A. YES
B. NO
10. What is the x intercept of line C?
A. -1
B. 1
C. -½
D. ½
C
11. Evaluate 4y2 – n(x – y) when n = 3, x = 5, and y = 2
A. 55
B. 39
C. 183
D. 7
C. x > –21
D. x < -21
C. 1
D. –1
12. Solve: –4x + 11 < 6
A. x > 
5
4
B. x >
5
4
13. Solve: 2x – 8 – 7x = 7
A. –3
B. 3
14. Which property of real numbers is demonstrated below?
-5(x - 8) = -5x + 40
A. Associative property of addition
B. Commutative property of addition
C. Identity property of addition
D. Distributive property
15. Which property of real numbers is demonstrated below?
If -5(x - 8) = -5x + 40 then -5x+40 = -5(x-8)
A. Transitive property of equality
B. Distributive Property of Multiplication
C. Symmetric property of equality
D. Reflexive Property of Equality
16. What is the slope of line D?
D
B. –2
A. 2
C.
1
2
D. –
1
2
17. Which property of real numbers is demonstrated below?
(a + b) + c = a + (b + c)
A. Commutative property of addition
B. Associative property of addition
C. Identity property of addition
D. Distributive property
C
18. What is the y intercept of line C?
A. 2
B. –2
C. 3
D. –3
19. Find the slope of the line that passes through the points (9, –4) and (5, 8)?
A. 0
B. undefined
C. - 3
D. ⅓
20. Simplify the expression 3(5x-3y)-2(3y-2x)
A. 13x – 9y
B. 19x - 15y
C. 11x - 15y
D. -11x + 15 y
22. Solve: ⅔x + 7 = 15
A. 6
B. 9
C. 12
D. 27
23. What is the equation of line A?
A. y= ⅓ x + 4
B. y= ⅓ x - 4
C. y= -⅓ x + 4
D. y= 3 x - 4
A
23. Which equation does NOT have a solution of w = 4?
A. 3w – 4 = 8
B. 10w – 22 = 18
C. 12 + 2w = 20
D. -16 = 20 – w
24. Solve: 2x – 4(x + 3) = 5 (3– x)
A. 1
B. -12
C. -4
D. 9
25. Which is an equation of a line parallel to the line y = - 3x + 4?
A. y = 3x + 4
B. y= - ⅓x - 4
C. y = ⅓ x - 8
D. y = - 3 x - 5
26. Which does NOT represent a function?
A. (2, 5) , (7, 4) , (4, 3) , (8, 2)
B. (2, 5) , (7, 6) , (5, 3) , (6, 0)
C. (2, 2) , (4, 5) , (5, 3) , (6, 1)
D. (2, 2) , (4, 5) , (2, 6) , (5, 7)
27. What is the slope of the graph of 5x + 2y = 14?
A. 5x
B. 5
C. – 5/2
D. 5/2
28. When ½ b h = A is solved for h, which equation results?
A. h = ½ – bA
B. h = A – bh
2
C. h = 2A
b
D. h = ½ b
A
29. Evaluate f(x) = 4x - 3 when f(7)
A. 5/2
B. 16
C. 0
D. 25
30. Which graph displays a direct variation?
A.
B.
D
C.
Free Response Questions
31. What is the missing value?
x
y
1
5
3
6
7
?
9
13
32. A health club charges $32 per class and a one-time membership fee of $350. Tony paid
$446. How many classes did Tony take?
33. Simplify 6(x - 7) = x- 5 + 2x
34. Solve for y
2x+7y =14
35. Write an inequality for this sentence: “The quotient of 50 and the number of
guinea pigs (p) is less than 525.”
36. f(x) = 5x-4 find f(2)
37. f(x) = 5x-4 find the zero of the function
38. f(x) = 5x-4 find x if f(x) = 26
39. y varies directly with x . Write the equation of direct variation when x=6 and y=18
40. 7x +3y = 15
X intercept =
Y intercept =
41. 64 is the cube of
42. √121 =
43. 3√216 =
44.
(1/3) Y = - 6x - 2 What is the slope?
45. (2, 5) , (7, 6) , (5, 3) , (6, 0)
List the domain.
46. Rewrite this equation 2y+3x = 12 in slope intercept form
47. Write the equation of direct variation that describes the following table
x
2
5
7
9
y
12
30
42
54
48. y varies inversely with x. When x is 3, y is 6. Find x when y is 9
49. Write the range of the function h(x)= 2x- 5 if the domain is {-1,2,5,7}
50. Evaluate g(2) – 4 if
g(x) = 3x - 7