Download Algebra I Midterm Exam Review Name

Algebra I Midterm Exam Review
Name: ____________________
Date___________________ Period____________ Points____________/50
True or False (1-10)
1) b + b + b + b = b4
3)
5)
17 + (-10) = -7
2
5
3
+ =
4
4
8
2)
The sum of three times a number
and 5 can be written as 3 + 5n.
4)
6 – (-4) = 10
6)
The point (4, -8) lies in Quadrant III
The slope of a vertical line is always
undefined
7)
The slope of the line y = 4x + 3 is 4
8)
9)
The y-intercept of the equation
y = -2x + 5 is -2
10)
The domain of a relation is the
x-values.
Chapter 1 and 2: Evaluate and/ or Simplify with Distributing and Combining
11) Write 3  3  a  x  x  x using
12) Write 54 in ‘long form’.
exponents.
13)
(- 8 + - 3)  2 =
14)
Simplify. – (-5) – (- 2) + (- 1)
15)
If f(x) = 3x – 1, then f(-2) =
16)
Evaluate: mn – p2
if m =
1
, n = 8, and p = 2.
2
17)
Evaluate: a2 + 4bc
if a = -1, b = 4, and c = -2
18)
8
=
0
19)
What is the simplest form of
–5(2c + 3) – 4c - 2?
20)
What is the simplest form of
5c + 7d – 2c - 3d?
Chapter 3: Solve the Equations
21) –x + 15 + 4x + 5 = 2.
22)
x
= -20 is
8
23)
4
x = - 16
5
24)
3x + 1 = -20
25)
2x  2
=-4
3
26)
5x – x = - 28
27)
–2(3x – 4) = - 4x
28)
29)
2 15

x 30
30)
2
3

y9 y7
32)
Solve for b: A = bh
34)
Solve for r: d = rt
31)
33)
3x - 10 = 11 – (6x + 3)
Solve for y: 7y = x
4x + 2 = 3(x – 4)
Chapter 4: Graphing Equations
35) Does the ordered pair (-8, 0) lie on
the graph of –3x – 4y = 24?
36)
State the x and y intercepts of
4x + 3y = 12
37)
Find the slope of the line passing
through the points (1, -7) and (-1, 5).
38)
Find the slope of the line containing
the points (-5, -7) and (-5, -2).
39)
What is the slope of the line
4x + 5y = 12?
40)
Which of the following represents a
function (you may have more than
one answer)?
41)
Which relation(s) is/are function(s)?
42)
Graph the equation:
y=
44)
2
x–1
3
Graph the equation:
3x – 4y = 12
43)
Graph the equation: y = 3
45)
What are the domain and range of
the relation {(2, 6), (5, -7)}?
46)
What is 3x – 5y = 12 in slopeintercept form (y = )?
Chapter 5: Write Linear Equations
47) What is the equation of the line
whose graph has a slope of
2
and
3
48)
What is 3x – 5y = 12 in
slope-intercept form?
50)
Write an equation of the graph in
slope-intercept form.
a y-intercept of -2?
49)
Write an equation for the line that
passes through the point 1,5 with
slope m  2 .
51)Write an equation for the line in
standard form that contains the
points (8, 3) and (5, 3).
Chapter 6: Solving and Graph Inequalities. Write answers in Interval and Set
Notation.
y  4  5
52)
2 p  16
53)
54)
2x  5  15
55)
56)
2 6 x  5  1  25
57)
3x  4  5
59)
2 10  x  2
58)
30 ≥ –7x – 12 > 16
13b  5  12b  8
STATISTICS:
Find the Standard Deviation of the following set of data: 66, 62, 68, 63, 72, 69, 59.
Calculator Directions for Finding Standard Deviation: Round to the nearest tenth.
Observations
Deviations
xx
x
Squared Deviations
(x  x )
n = ______________
2
x
= ______________
SUM = __________
Variance =  2 
SUM

n
_________
60)
Standard Deviation: (round
to the nearest hundredth)
   2  ____________
61)
Determine the Z-Score for the given value in a normal curve with a mean of 60 and a standard
deviation of 5.
a. 63
b. 57
x
z-score (z) =

On six consecutive Sundays, a tow-truck operator received 9, 7, 11, 10, 13, and 7 service calls.
Calculate the standard deviation (by hand).
Observations
x
Deviations
xx
Squared Deviations
(x  x )
n = ______________
2
x
= ______________
SUM = __________
Variance =  2 
SUM

n
_________
62)
Standard Deviation: (round
to the nearest hundredth)
   2  ____________
Properties
Match each of the following properties with the examples at the right.
A. Associative Property
_______ 63. 2x=2x
B. Distributive Property
_______ 64. 4x - 2 = (2x – 1)2
C.
Commutative Property
_______ 65. -3 + 3 = 0
D.
Identity Property of Addition
_______ 66. 3 ( 1)  3
E.
Identity Property of Multiplication
_______ 67. If
F.
Addition (Subtraction) Property of Equality
_______ 68. If 3 = x, then x = 3.
G.
Multiplication (Division) Property of Equality
_______ 69. 4 + 0 = 4
H.
Inverse Property
_______ 70. If a + b = c and c = d, then a + b = d.
I.
Substitution Property
_______ 71. If 3x = 9y and x = 6, then 3(6) = 9y.
J.
Multiplication Property of Zero
_______ 72.
5 1 5
K.
Reflexive Property
_______ 73.
b cc b
L.
Symmetric Property
_______ 74.
5 0  0
M.
Transitive Property
_______ 75.
(3 2) 4  3 (2 4)
N.
Property of -1
_______ 76. If 3x + 3 = 4 then 3x + 3 – 3 = 4 – 3.
1
1
x  3 , then 2 x  3 2
2
2