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WorksheetsChapter 1 Algebra 2 Review
Total questions: 70
Worksheet time: 6hrs 50mins
Name
Class
Date
1.
A repeating decimal or decimal that terminates is called a
a)
Natural Number
b)
Irrational Number
c)
Rational Number
d)
Whole Number
2.
What are your counting numbers (1,2,3..)?
a)
Rational Numbers
b)
Whole Numbers
c)
Natural Numbers
d)
Irrational Numbers
3.
A number can be rational and irrational.
a)
True
b)
False
4.
The set of rational numbers includes all the following except...
a)
-42
b)
5/0
c)
0
d)
14.7
5.
All whole numbers are integers.
a)
False
b)
True
6.
What is an example of an irrational number?
a)
-2/3
b)
.75575557654..
c)
23
d)
0
7.
What is true about irrational numbers?
a)
They are terminating decimals.
b)
They are non-repeating decimals.
c)
They are fractions.
d)
They are natural numbers.
8.
Classify the Number: 120
a)
natural, whole, integers rational, real
b)
Irrational, real
c)
whole
d)
Whole, natural
9.
How would 5/9 be classified?
a)
rational and real
b)
whole and integer
c)
only real
d)
only irrational
10.
Based on the chart, how many subsets are within the integers set?
a)
1
b)
2
c)
3
d)
none
11.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
12.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
13.
What number below is a natural, whole, integer, rational, and real number ?
a)
-4
b)
5.1
c)
0.7
d)
3
14.
Classify √35.
a)
Rational, Integer
b)
Whole, Integer, Rational
c)
Irrational, Integer
d)
Irrational
15.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
16.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
17.
How would 0.333333 be classified?
a)
rational and real
b)
real and whole
c)
only integer
d)
only irrational
18.
Which number is an irrational number?
a)
√9
b)
√49
c)
√100
d)
√120
19.
List all the classifications of numbers that apply to the real number.
436
436
a)
Irrational
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
20.
Evaluate the expression when y = 5
2y2 + 3y
2y2 + 3y
a)
75
b)
65
c)
115
d)
105
21.
Evaluate the expression when x = 7 and y = 4
xy - 4(2)
xy - 4(2)
a)
3
b)
20
c)
48
22.
Write an algebraic expression for 3 more than a number.
a)
n + 3
b)
n - 3
c)
3n
d)
n/3
23.
Let "p" represent the number of paper clips in a box. If there are 76 boxes in a case, write an algebraic expression to show the total number of paper clips.
a)
125p
b)
76(p)
c)
76 + p
d)
125 = p
24.
Ten more than four times a number
a)
4 x 10 x m
b)
4m + 10
c)
10 + 4 + m
d)
10m + 4
25.
Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y
2 + (12 - 5x) ⋅ 2y
a)
22
b)
40
c)
142
d)
-86
26.
What is the first step in solving this problem:
12 ÷ 6 (3) + 8
12 ÷ 6 (3) + 8
a)
multiplication
b)
addition
c)
division
d)
subtraction
27.
Evaluate
(a + b)c + ab
when
a = 3, b = 5, and c = 2
(a + b)c + ab
when
a = 3, b = 5, and c = 2
a)
26
b)
31
c)
79
d)
49
28.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
29.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
30.
pV = nRT
solve for R
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
31.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
32.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
33.
E = mc2 solve for m
a)
m = sqrt(E/c)
b)
m = sqrt(E)/c
c)
m = E/c2
d)
m = money
34.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
35.
(5 + 3) + 2 = 5 + (3 + 2)
a)
Commutative Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
36.
This property tells us that when we change the order of numbers when we are adding, the answer does not change.
a)
Commutative Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
37.
The _______________ property of addition states that any number plus zero equals the other number.
a)
identity
b)
commutative
c)
associative
d)
Inverse
38.
Which property is represented?
44 + 99 = 99 + 44
44 + 99 = 99 + 44
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
39.
Which property is this an example of?
8 x (3 x 7) = (8 x 3) x 7
8 x (3 x 7) = (8 x 3) x 7
a)
Associative Property of Addition
b)
Identity Property of Multiplication
c)
Identity Property of Addition
d)
Associative Property of Multiplication
40.
The Zero Property of Multiplication states that any number multiplied by zero is equal to zero.
Which expression below is an example of this property?
Which expression below is an example of this property?
a)
3x1=3
b)
3x0=0
c)
3+1=4
d)
3+0=3
41.
Which property is this an example of?
9 x 1 = 9
9 x 1 = 9
a)
Identity Property of Multiplication
b)
Commutative Property of Multiplication
c)
Associative Property of Multiplication
d)
Multiplicative Inverse
42.
Additive Inverse means:
The sum of a number and its _______________ equals zero.
The sum of a number and its _______________ equals zero.
a)
absolute value
b)
opposite
c)
reciprocal
d)
operations
43.
Multiplicative Inverse means:
The product of a number and its _____________________ equals 1.
The product of a number and its _____________________ equals 1.
a)
opposite
b)
absolute value
c)
reciprocal
d)
negative
44.
Which of the following shows the multiplicative inverse of 4/5?
a)
4/5 x 1 = 4/5
b)
4/5 x 0 = 0
c)
4/5 x 5/4 = 1
d)
4/5 x 4/5 = 1
45.
Which of the following shows the additive inverse of 4?
a)
4 + -4 = 0
b)
4 + -4 = -8
c)
4 x 1/4 = 1
d)
4 x 0 = 0
46.
What is the additive inverse of -5?
a)
-5
b)
0
c)
5
d)
-0
47.
Which property says that if 18 = -2n + 4, then -2n + 4 = 18?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
48.
Which property states that (8x - 3) + 12 = (8x -3) + 12?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
49.
Which property states that if 10a = 2b and 2b = c, then 10a = c?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
50.
Which property says if (5 + 1)x = 24, then 6x = 24?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
51.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
52.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
53.
When graphing b < 6 would you use an open or closed circle?
a)
Open ○
b)
Closed •
54.
To solve the equation below, you would:
x - 62 = 123
x - 62 = 123
a)
add 62 to each side
b)
subtract 62 from each side
c)
multiply each side by 62
d)
Add 123 to each side
55.
Solve the equation:
½x = 6
a)
x = 12
b)
x = 18
c)
x = 3
d)
x = 16
56.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
57.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
58.
a)
19
b)
-9
c)
-100
d)
-50
59.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
60.
What is the absolute value of |-26|.
a)
26
b)
-26
c)
0
d)
-20
61.
What is the absolute value of |572|.
a)
275
b)
-572
c)
57
d)
572
62.
3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
63.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
64.
|−4 + 5x| = 16
a)
{16/5,12/5}
b)
{4,-5}
c)
{-12/5, 4}
d)
4
65.
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5,1}
c)
{-5}
d)
No Solution
66.
|−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
67.
Solve:
|x + 4| - 8 > 2
|x + 4| - 8 > 2
a)
x > 6 and x < 10
b)
x > 6 or x < -14
c)
all real numbers
d)
no solution
68.
Solve:
|m-2|<8
|m-2|<8
a)
9>m>8
b)
2<m< -6
c)
-6 <m< 10
d)
0>m<0
69.
What kind of inequality is this? |x-2|<7
a)
AND compound inquality
b)
OR compound inequality
70.
What kind of compound inequality is this?
a)
AND compound inequality
b)
OR compound inequality
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