Number operation review 9 docx
Number operation review 9 docx
... 19
Therefore, the solution to the system of equations is y ϭ 4 and x ϭ 19.
–ALGEBRA REVIEW
89
Sequences Involving Exponential Growth
When analyzing a sequence, try to find the mathematical operation ... 14
c. 36
d. 49
e. 64
Answer
d. To solve for d, isolate the variable:
6͙d
ෆ
Ϫ 10 ϭ 32
6͙d
ෆ
Ϫ 10 ϩ 10 ϭ 32 ϩ 10
6͙d
ෆ
ϭ 42
ϭ
͙d
ෆ
ϭ 7
(͙d
ෆ
)
2
ϭ 7
2
d ϭ 49
42
ᎏ
6
6͙d
ෆ
ᎏ
6
–ALGEBR...
Number operation review 8 docx
... ϩ 9
The product of the last pair of terms equals 9. There are a few possibilities for these terms: 3 and 3
(because 3 ϫ 3 ϭ 9) , Ϫ3 and Ϫ3 (because Ϫ3 ϫϪ3 ϭ 9) , 9 and 1 (because 9 ϫ 1 ϭ 9) , 9 ... x
2
.
x
1234567
1
2
3
4
5
–1
–2
–3
–1–2–3–4–5–6–7
–ALGEBRA REVIEW
82
Practice Question
Which of the following are the factors of z
2
Ϫ 6z ϩ 9?
a. (z ϩ 3)(z ϩ 3)
b. (z ϩ 1)(z ϩ 9)
c. (z...
Number operation review 1 pps
... various operations with fractions.
–NUMBERS AND OPERATIONS REVIEW
49
Odd and Even Numbers
An even number is a number that can be divided by the number 2 to result in a whole number. Even numbers
have ... in an odd number?
a. even number ϩ even number
b. odd number ϫ odd number
c. odd number ϩ 1
d. odd number ϩ odd number
e.
ᎏ
even n
2
umber
ᎏ
Answer
b. a, c, and d d...
Number operation review 2 pdf
... because
n > 2.
–NUMBERS AND OPERATIONS REVIEW
50
Factors
Factors of a number are whole numbers that, when divided into the original number, result in a quotient that is
a whole number.
Example
The ... than the number 1 is either prime or composite, but not both.
■
A prime number has only itself and the number 1 as factors:
2, 3, 5, 7, 11, 13, 17, 19, 23 . . .
■
A composite nu...
Number operation review 3 pot
... numerators only.
Example
ᎏ
4
9
ᎏ
Ϫ
ᎏ
1
6
ᎏ
LCD is 54 because 9 ϫ 6 ϭ 54 and 6 ϫ 9 ϭ 54.
ᎏ
4
9
ᎏ
ϭ 4 ϫ
ᎏ
6
9
ᎏ
ϫ 6 ϭ
ᎏ
2
5
4
4
ᎏ
Convert fraction.
ᎏ
1
6
ᎏ
ϭ 1 ϫ
ᎏ
9
6
ᎏ
ϫ 9 ϭ
ᎏ
5
9
4
ᎏ
Convert fraction.
ᎏ
2
5
4
4
ᎏ
Ϫ
ᎏ
5
9
4
ᎏ
ϭ
ᎏ
1
5
5
4
ᎏ
ϭ
ᎏ
1
5
8
ᎏ
Subtract ... larger number: 6.
The answer is 4.
7 ϩϪ12
First subtract the absolute values of the numbers: |Ϫ12| Ϫ |7| ϭ 12 Ϫ...
Number operation review 4 potx
... the numbers 3 and 5:
ᎏ
3 ϩ
2
5
ᎏ
ϭ
ᎏ
8
2
ᎏ
ϭ 4.
The median is 4.
sum of numbers in set
ᎏᎏᎏ
quantity of numbers in set
–NUMBERS AND OPERATIONS REVIEW
60
The mode of a set of numbers is the number ... converts to a number greater than 1, such as a whole
number or a mixed number.
500% ϭ 5 275% ϭ 2.75 or 2
ᎏ
3
4
ᎏ
Here are some conversions you should be familiar with:
–NUMBERS AND OPER...
Number operation review 5 ppsx
... true.
Matrices
Matrices are rectangular arrays of numbers. Below is an example of a 2 by 2 matrix:
Review the following basic rules for performing operations on 2 by 2 matrices.
Addition
Subtraction ... b
4
a
1
a
2
a
3
a
4
+
b
1
b
2
b
3
b
4
=
a
1
+ b
1
a
2
+ b
2
a
3
+ b
3
a
4
+ b
4
a
1
a
2
a
3
a
4
–NUMBERS AND OPERATIONS REVIEW
66
Number operation review 6 pdf
... correct answer.
6
69
Example
7x Ϫ 11 ϭ 29 Ϫ 3x Move the variables to one side.
7x Ϫ 11 ϩ 3x ϭ 29 Ϫ 3x ϩ 3x Perform the same operation on both sides.
10x Ϫ 11 ϭ 29 Now move the numbers to the other ... solution for 7x Ϫ 11 ϭ 29 Ϫ 3x is x ϭ 4. To check that the solution is correct, substitute 4
for x in the equation:
7x Ϫ 11 ϭ 29 Ϫ 3x
7(4) Ϫ 11 ϭ 29 Ϫ 3(4)
28 Ϫ 11 ϭ 29 Ϫ 12
17 ϭ 17
T...
Number operation review 7 doc
... ϩ 9
The product of the last pair of terms equals 9. There are a few possibilities for these terms: 3 and 3
(because 3 ϫ 3 ϭ 9) , Ϫ3 and Ϫ3 (because Ϫ3 ϫϪ3 ϭ 9) , 9 and 1 (because 9 ϫ 1 ϭ 9) , 9 ... best simplifies
ᎏ
5
8
x
ᎏ
Ϫ
ᎏ
2
5
x
ᎏ
?
a.
ᎏ
4
9
0
ᎏ
b.
ᎏ
4
9
0
x
ᎏ
c.
ᎏ
5
x
ᎏ
d.
ᎏ
4
3
0
x
ᎏ
e. x
–ALGEBRA REVIEW
79
Now combine like terms:
Ϫ14x Ϫ 9y ϩ 18z
To multiply monomials, m...
Number operation review 10 pot
... equaling different numbers. Therefore, we must choose the value of d that would
make 15x ϩ dy identical to 15x ϩ 9
y.Ifd ϭ 9, then:
15x ϩ 9y ϭ 12
15x ϩ 9y ϭ 21
Thus, if d ϭ 9, there is no solution. ... ϭ 9x ϩ 3, which of the following is equal to f(4b)?
a. 36b ϩ 12b
b. 36b ϩ 12
c. 36b ϩ 3
d.
ᎏ
4b
9
ϩ 3
ᎏ
e.
ᎏ
9
4
ϩ
b
3
ᎏ
Answer
c. If f(x) ϭ 9x ϩ 3, then, for f(4b), 4b simply replaces...
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