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ALGEBRA I
MIDTERM EXAM
2010 - 2011
DIRECTIONS:
1. DO NOT WRITE ON EXAM
2. WRITE EXAM NUMBER ON ANSWER SHEET
3. WRITE ALL ANSWERS ON ANSWER SHEET
4. WRITE LEGIBLY
5. TALKING WILL RESULT IN A ZERO
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EXAM # ________
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Section 1 ~ Algebraic Expressions
Write the algebraic expression.
1. the product of 8 and c
2. a number decreased by five
3. eight less than half of a number
Evaluate the power.
4. 5 2
5. 4 3
6. 7 3
Evaluate the expression.
7. gp – km
for g = 9, p = -2, k = -5 and m = -1
8. 2a  b + c2
for a = 4, b = -7 and c = 8
Simplify each expression, using Order of Operations (PEMDAS).
9. 4(3)  (3)
27
11. 3

52
10. -8(9) – (-12)
12. 3(62 + 42) – (33 + 4)
Simplify the expression.
13.
 35  14 y
7
14.
18a  30
3
15.
 48 x  6
6
Check whether the given number is a solution of the equation or the inequality.
16. 5p – 2 = 12; 3
17. n + 5n = 20; 5
Section 2 ~ Number Sense
Write the numbers in increasing order.
19. 2, -3, -2.5, 4.5, - 1
1
2
3
18. 3 + w  9 ; 6
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Find the absolute value of the number.
20.  1.7
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21. 4
22.   3
23. (21)( x)( x) x
24. (-6)(-z)
25. – ( y ) 2
26. 5y – 2y
27. 3x – 5 + 2x
28. 7 – 4(x + 2)
Simplify the expression.
Section 3 ~ Properties
Perform the indicated operation.
29. 7  (-8)
30. 12  4
31. 6(3x – 2)
32. (-9)2
33. 81 – 19
34. -11.2 + 3.6
35. 19 – 28
36. –(8x – 3)
Section 4 ~ Solving Equations
Solve each equation.
37. x – 7 = 9
40.
x
 49
7
43. 
2
x48
5
38. x + 11 = 19
39. 3x = -9
41. 7x – 3 = 18
42. -3x + 8 = 2
44. x + 4x = -90
45. 2(x + 5) = 9
Solve each equation. Write identity or no solution.
46. 9 + 5n = 5n – 1
47. 9 + 5x = 7x + 9 – 2x
48. 4 – 4y = -2 (2y – 2)
Section 5 ~ Functions
49. Find the range of the function f ( x)  4 x  1 when the domain is {-4, 0, 1, 5}.
Use an input-output table to record your answers.
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Determine whether each relation is a function. Write yes or no.
50.
51.
Input Output
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Input Output
1
3
1
3
2
3
1
4
3
4
2
5
4
4
3
6
Determine whether each relation is a function. Write yes or no.
52.
53.
Section 6 ~ Slope and Graphing Linear Equations
m
y = mx + b
y 2  y1
x2  x1
Find the slope of the line that passes through the points.
54. (3, 2) and (5, 6)
55. (-2, 1) and (1, -2)
Find the value of y so that the line passing through the two points has the given slope.
56. (5, -1), (-2, y), m = 1
57. (3, 5), (1, y), m =
3
2
Decide whether the graphs of the two equations are parallel lines. Write yes or no.
58. y = 2x – 1, y = -2x + 1
59. 3x + 2y = 1, -2y = 3x – 2
Write an equation in slope-intercept form.
60. m = 2; b = -3
1
61. m =  ; b = 2
2
5
62. (3, 4) and m = 2
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Graph the following equations.
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2
x–2
3
63. y = 2x + 3
64. y =
65. 5x + 2y = 10
66. x + 3y = -6
67. y – 2 = -3(x + 1)
1
68. y + 3 =  (x + 2)
2
Solve the equation graphically. Check your solution algebraically.
69. -2x + 13 = 7
Section 7 ~ Writing Linear Equations
Write an equation of the line in slope-intercept form.
70. The slope is 10; the y-intercept is -3.
4
71. The slope is  ; the y-intercept is 0.
3
Write an equation of the line shown in the graph.
72.
73.
Write an equation in slope-intercept form of the line that passes through the point and has the
given slope.
75. (-4, 3), m = 
74. (3, 0), m = -2
6
3
4
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Write an equation in slope-intercept form of the line that is parallel to the given line and
passes through the given point.
76. y = 2x + 3, (-4, 1)
Write an equation in slope-intercept form of the line that passes through the points.
77. (-5, 2), (1, -1)
78. (-3, -1), (3, 5)
Write an equation in slope-intercept form of the line that is perpendicular to the given line
and passes through the given point.
79. y = -3x + 5, (3, 4)
Write the equation in standard form with integer coefficients.
1
81. y   x  5
3
80. 5x – y + 6 = 0
Write the equations in standard form of the horizontal and vertical lines.
82.
Section 8 ~ Vocabulary
Match the words to their definition. Each word is only used once.
1. A letter used to represent one or more numbers
2. The numbers that can be seen on the number line, ie: …-3, -2, -1, 0, 1, 2, 3…
3. The pair of numbers (x, y) giving the location of a point on a coordinate plane
4. A relationship between two numbers where each input has exactly one output
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5. The answer to a subtraction problem
6. Terms with no variable attached
7. The point where the graph crosses the y-axis
8. The number of times you multiply the base by itself
9. Ax + By = C
10. The steepness of a line; rise/run
11. An expression that contains an equal sign
12. A combination of numbers, variables and operations
13. The distance between a number and the origin on a number line
14. All variables have no greater power than 1, ie: y = 2x + 5
15. Parenthesis and/or brackets
16. Used to determine whether a relation is a function; a relation is a function if no vertical
line intersects the graph at more than one point
17. All numbers
18. To “flip” a fraction, ie:
1
3

3
1
19. The sections of a coordinate plane
20. To replace the variable(s) with values and solve using order of operations
21. Lines that intersect to form a right angle and have opposite reciprocal slopes
22. Two equations that have the same solutions
23. Any and all values of a variable that satisfy the equation or inequality
24. The point where the graph crosses the x-axis
25. a(b + c)
26. An expression that contains an inequality symbol
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27. Input values
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28. y = mx + b
29. An expression used to calculate a desired result, ie: A = lw
30. The answer to an addition problem
31. The number assigned to a variable, ie: x = 3
32. Output values
33. The expression 5 2 is known as a ____________.
34. A basic relationship between two numbers
35. An expression that contains no parenthesis and all like terms have been combined
36. m 
y 2  y1
x2  x
37. In the expression 32 , 3 is the ____________.
38. PEMDAS
39. The answer to a multiplication problem
40. The point labeled zero on the number line
41. Positive vs. negative
42. The parts of the expression being added
43. The answer to a division problem
44. The number in front of the variable
45. Terms of an expression that have the same variable raised to the same power
46. Operations that undo each other used to solve the equation
47. 2 = 2
48. y by itself in an equation
49. Lines that do not intersect and have the same slope
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A. Variable
B. Value
C. Variable Expression
D. Evaluating the Expression
E. Power
F. Exponent
G. Base
H. Grouping Symbols
I. Order of Operations
J. Equation
K. Inequality
L. Solution
M. Sum
N. Difference
O. Product
P. Quotient
Q. Real Numbers
R. Origin
S. Integers
T. Opposites
U. Absolute Value
V. Terms of an Expression
W. Distributive Property
X. Coefficient
Y. Like Terms
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Z. Constant Terms
AA. Simplified
BB. Reciprocal
CC. Equivalent
DD. Inverse Operations
EE. Linear Equation
FF. Identity
GG. Formula
HH. Function Form
II. Ordered Pair
JJ. Quadrant
KK. x-intercept
LL. y-intercept
MM. Slope
NN. Slope Formula
OO. Slope-intercept Form
PP. Parallel Lines
QQ. Function
RR. Relation
SS. Domain
TT. Range
UU. Vertical Line Test
VV. Perpendicular Lines
WW. Standard Form (of a Linear Equation)
Section 9 ~ Short-cycle Multiple Choice
1. Sandy finds that the data in her science experiment can be modeled by a linear function.
Which could not be the function that models Sandy’s data?
a. 3x + 2y = 1
b. y = 2x – 5
c. 2y = 3x – 1
d. y = 4x 2 + 2
2. Which shows a pair of equivalent expressions?
a. (mn)p and m(n + p)
b. 14(c + d) and 7(2d + 2c)
c. 7vw and 7(w + v)
d. 3(g + h) and 3gh
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3. Which graph represents the function f(x) =  x – 4?
3
a.
b.
c.
d.
4. Which table
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