DQ AND MATH WORK
Homework 2 College Mathematics (2023) (Homework)
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TOTAL SCORE
–/25
0.0%
Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.
Assignment Scoring
Your last submission is used for your score.
1.
[–/4 Points]DETAILS
Question Details
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SUBMISSIONS USED |
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TOTAL
–/4
TGBASMATHP6 5.1.006.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Complete the steps used to write the ratio
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21 |
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35 |
in simplest form.
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= |
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= |
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= |
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2.
[–/1 Points]DETAILS TGBASMATHP6 5.1.029.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Write the ratio as a fraction in simplest form.
0.3 to 0.9
3.
[–/1 Points]DETAILS TGBASMATHP6 5.1.033.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Write the ratio as a fraction in simplest form.
2.8:7.8
4.
[–/1 Points]DETAILS TGBASMATHP6 5.1.037.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Write the ratio as a fraction in simplest form.
1
|
2 |
|
3 |
to 13
|
1 |
|
3 |
5.
[–/1 Points]DETAILS TGBASMATHP6 5.1.040.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Write the ratio as a fraction in simplest form.
9
|
3 |
|
8 |
to 1
|
7 |
|
8 |
6.
[–/1 Points]DETAILS TGBASMATHP6 5.2.003.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blank.
The ---Select--- cross extreme isolated proportion variable products for the proportion
|
8 |
|
9 |
=
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38 |
|
x |
are 8 · x and 9 · 38.
7.
[–/1 Points]DETAILS TGBASMATHP6 5.2.022.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Determine whether the proportion is true or false by simplifying.
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3 |
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5 |
=
|
24 |
|
40 |
The proportion is true.The proportion is not true.
8.
[–/1 Points]DETAILS TGBASMATHP6 5.2.041.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the proportion. Check the result.
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5 |
|
10 |
=
|
3 |
|
x |
x =
9.
[–/1 Points]DETAILS TGBASMATHP6 5.2.042.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the proportion. Check the result.
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5 |
|
10 |
=
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2 |
|
x |
x =
10.
[–/1 Points]DETAILS TGBASMATHP6 5.2.044.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the proportion. Check the result.
|
3 |
|
6 |
=
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x |
|
8 |
x =
11.
[–/1 Points]DETAILS TGBASMATHP6 6.1.019.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Write the percent as a fraction. Simplify, if possible.
81%
12.
[–/1 Points]DETAILS TGBASMATHP6 6.1.022.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Write the percent as a fraction. Simplify, if possible.
5%
13.
[–/1 Points]DETAILS TGBASMATHP6 6.1.025.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Write the percent as a fraction. Simplify, if possible.
1.1%
14.
[–/3 Points]DETAILS TGBASMATHP6 6.2.018.
MY NOTES
ASK YOUR TEACHER
Translate the percent sentence to a percent equation or percent proportion. Do not solve.
(a) 1.5% of 3 is what number?
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1.5% · 3 = x OR
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1.5% · x = 3 OR
=
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1.5% ÷ 3 = x OR
=
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1.5% · 3 = x OR
=
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1.5% ÷ 3 = x OR
=
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(b) 49.2% of what number is 100?
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49.2% ÷ 100 = x OR
=
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49.2% ÷ x = 100 OR
=
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49.2% · x = 100 OR
=
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49.2% · x = 100 OR
=
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49.2% · 100 = x OR
=
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(c) What percent of 100.4 is 50.2?
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x · 100.4 = 50.2 OR
=
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x ÷ 100.4 = 50.2 OR
=
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x · 100.4 = 50.2 OR
=
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50.2 · 100.4 = x OR
=
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50.2 ÷ 100.4 = x OR
=
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15.
[–/1 Points]DETAILS TGBASMATHP6 6.2.022.
MY NOTES
ASK YOUR TEACHER
Translate to a percent equation or percent proportion and then solve to find the unknown number.
What number is 52% of 350?
16.
[–/1 Points]DETAILS TGBASMATHP6 6.2.026.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Translate to a percent equation or percent proportion and then solve to find the unknown number.
What number is 228% of 37.5?
17.
[–/1 Points]DETAILS TGBASMATHP6 6.2.027.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Translate to a percent equation or percent proportion and then solve to find the unknown number.
9 is what percent of 36?
%
18.
[–/1 Points]DETAILS TGBASMATHP6 6.3.024.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the problem to find the tax rate. A couple paid $4,000 in capital gains tax on a profit of $20,000 made from the sale of some shares of stock. What is the capital gains tax rate? %
19.
[–/1 Points]DETAILS TGBASMATHP6 6.3.022.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the problem to find the tax rate. The purchase price for a camping tent is $180. If the sales tax is $13.32, what is the sales tax rate? %
20.
[–/1 Points]DETAILS TGBASMATHP6 6.3.028.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the problem to find the commission.
A medical sales representative is paid an 14% commission on all sales. Find her commission if she sells $45,000 of Coumadin, a blood-thinning drug, to a pharmacy chain.
$
Bottom of Form
Homework 1 College Mathematics (2023) (Homework)
Current Score
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TOTAL SCORE
–/50
0.0%
Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.
Assignment Scoring
Your last submission is used for your score.
1.
[–/1 Points]DETAILS TGBASMATHP6 1.1.002.
MY NOTES
ASK YOUR TEACHER
Fill in the blank. The set of _____ numbers is {0, 1, 2, 3, 4, 5, . . .}.
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whole |
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real |
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natural |
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integer |
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positive |
2.
[–/1 Points]DETAILS TGBASMATHP6 1.1.007.
MY NOTES
ASK YOUR TEACHER
Fill in the blank.
The symbols > and < are ---Select--- positive inequality negative terminating equality symbols.
3.
[–/1 Points]DETAILS TGBASMATHP6 1.2.003.
MY NOTES
ASK YOUR TEACHER
Fill in the blank.
The ---Select--- commutative associative identity zero inverse property of addition states that the order in which whole numbers are added does not change their sum.
4.
[–/1 Points]DETAILS TGBASMATHP6 1.2.004.
MY NOTES
ASK YOUR TEACHER
Fill in the blank.
The ---Select--- zero identity inverse commutative associative property of addition states that the way in which whole numbers are grouped does not change their sum.
5.
[–/4 Points]DETAILS TGBASMATHP6 1.2.011.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Which property of addition is shown?
(a)
6 + 7 = 7 + 6
commutative property of additioncommutative property of subtraction associative property of additionassociative property of subtractionaddition property of 0
(b)
(6 + 7) + 8 = 6 + (7 + 8)
commutative property of additioncommutative property of subtraction associative property of additionassociative property of subtractionaddition property of 0
(c)
(39 + 53) + 35 = 39 + (53 + 35)
commutative property of additioncommutative property of subtraction associative property of additionassociative property of subtractionaddition property of 0
(d)
316 + 509 = 509 + 316
commutative property of additioncommutative property of subtraction associative property of additionassociative property of subtractionaddition property of 0
6.
[–/1 Points]DETAILS TGBASMATHP6 1.4.004.
MY NOTES
ASK YOUR TEACHER
Fill in the blank.
Letters that are used to represent numbers are called ---Select--- expressions constants terms coefficients variables .
7.
[–/2 Points]DETAILS TGBASMATHP6 1.4.007.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
(a) Write the repeated addition
3 + 3 + 3 + 3
as a multiplication.
3 + 3 + 2 · 3
3 − 3 − 3 − 3
4 + 3
3 · 3 · 3 · 3
4 · 3
(b) Write the multiplication
7 · 16
as a repeated addition.
16 + 16 + 16 + 16 + 16 + 16 + 16
16 + 16 − 5 · 16
16 · 16 · 16 · 16 · 16 · 16 · 16
7 · 16
7 + 16
8.
[–/4 Points]DETAILS TGBASMATHP6 1.4.011.
MY NOTES
ASK YOUR TEACHER
Determine whether the concept of perimeter or that of area should be applied to find each of the following.
(a) The amount of floor space to carpet
perimeterarea
(b) The number of inches of lace needed to trim the sides of a handkerchief
perimeterarea
(c) The amount of clear glass to be tinted
perimeterarea
(d) The number of feet of fencing needed to enclose a playground
perimeterarea
9.
[–/1 Points]DETAILS TGBASMATHP6 1.4.013.
MY NOTES
ASK YOUR TEACHER
Write three symbols that are used for multiplication.
−, +, /
+, ·, ()
×, ·, ()
×, /, −
×, ·, /
10.
[–/9 Points]DETAILS TGBASMATHP6 1.5.001.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
In the three division problems shown below, label the dividend, divisor, and the quotient.
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20 |
÷ |
4 |
= |
5 |
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↑ |
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↑ |
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↑ |
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---Select--- dividend divisor quotient |
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---Select--- dividend divisor quotient |
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---Select--- dividend divisor quotient |
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5 |
← |
---Select--- dividend divisor quotient |
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---Select--- dividend divisor quotient |
→ |
4 |
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20 |
← |
---Select--- dividend divisor quotient |
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---Select--- dividend divisor quotient |
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---Select--- dividend divisor quotient |
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↓ |
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↓ |
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= |
4 |
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↑ |
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---Select--- dividend divisor quotient |
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11.
[–/1 Points]DETAILS TGBASMATHP6 1.5.004.
MY NOTES
ASK YOUR TEACHER
Fill in the blank.
If a division is not exact, the leftover part is called the ---Select--- divisor division remainder quotient .
12.
[–/1 Points]DETAILS TGBASMATHP6 1.5.009C.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Divide, if possible. (If an answer is undefined, enter UNDEFINED.)
|
160 |
|
0 |
13.
[–/1 Points]DETAILS TGBASMATHP6 1.5.009D.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Divide, if possible. (If an answer is undefined, enter UNDEFINED.)
|
0 |
|
15 |
14.
[–/1 Points]DETAILS TGBASMATHP6 1.5.017.
MY NOTES
ASK YOUR TEACHER
Write three symbols that can be used for division.
÷, (),
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[], ·,
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÷,
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,
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×, ·, ()
÷,
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, +
15.
[–/1 Points]DETAILS TGBASMATHP6 1.6.018.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the following problem.
A certain country's team won 46 gold medals at a Summer Olympic Games. At that time, the actual value of a gold medal was estimated to be around $542. What was the total value (in dollars) of the gold medals won by that country?
$
16.
[–/1 Points]DETAILS TGBASMATHP6 1.7.003.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blank.
Numbers that have only 1 and themselves as factors, such as 19, 29, and 47, are called ---Select--- mixed natural prime composite equivalent numbers.
17.
[–/1 Points]DETAILS TGBASMATHP6 1.7.005.
MY NOTES
ASK YOUR TEACHER
Fill in the blank.
To prime factor a number means to write it as a product of only ---Select--- composite mixed prime whole factorable numbers.
18.
[–/2 Points]DETAILS TGBASMATHP6 1.7.006.
MY NOTES
ASK YOUR TEACHER
Fill in the blanks.
An exponent is used to represent ---Select--- single prime double irregular repeated multiplication. It tells how many times the ---Select--- expression base composite exponent prime is used as a factor.
19.
[–/2 Points]DETAILS TGBASMATHP6 1.7.007.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blanks.
In the exponential expression
64,
the number 6 is the ---Select--- base exponent quotient product divisor , and 4 is the ---Select--- base exponent quotient product divisor .
20.
[–/2 Points]DETAILS TGBASMATHP6 1.7.008.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blanks.
We can read
52
as "5 to the second power" or as "5 ---Select--- twice cubed squared doubled tripled ." We can read
83
as "8 to the third power" or as "8 ---Select--- thrice tripled doubled cubed squared ."
21.
[–/1 Points]DETAILS TGBASMATHP6 1.8.002.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blank.
Because 72 is the smallest number that is a multiple of both 8 and 9, it is the ---Select--- greatest common factor prime factor least common multiple factor of 8 and 9.
22.
[–/1 Points]DETAILS TGBASMATHP6 1.8.004.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blank.
Because 6 is the largest number that is a factor of both 18 and 66, it is the ---Select--- least common multiple prime factor greatest common factor factor of 18 and 66.
23.
[–/6 Points]DETAILS TGBASMATHP6 1.8.016.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blanks.
(a) We read
LCM(2, 15) = 30
as "The ---Select--- least common greatest common multiple ---Select--- for of to 2 and 15 ---Select--- is is not 30." (b) We read
GCF(15, 20) = 5
as "The ---Select--- least common greatest common factor ---Select--- for of to 15 and 20 ---Select--- is is not 5."
24.
[–/1 Points]DETAILS TGBASMATHP6 1.9.002.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blank.
To evaluate the expression
4 + 7 · 6
means to find its ---Select--- product quotient multiple sum value .
25.
[–/3 Points]DETAILS TGBASMATHP6 1.9.016.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Complete the solution to evaluate the expression.
|
2 + (8 + 6 · 3) |
= |
2 + (8 + ) |
|
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= |
2 + |
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= |
|
Bottom of Form
Homework 3 College Mathematics (2023) (Homework)
INSTRUCTOR
Ahmed Ahmed
U of Potomac Washington, DC
Print Assignment
Current Score
QUESTIONPOINTS
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1 –/4
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2 –/6
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3 –/2
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4 –/2
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5 –/8
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6 –/1
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TOTAL SCORE
–/23
0.0%
Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.
Assignment Scoring
Your last submission is used for your score.
1.
[–/4 Points]DETAILSTGBASMATHP6 8.2.009.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blanks.
(a)
4( x + 5) = 4 x ? + − 20
(b)
4( x − 5) = 4 x ? + − 20
(c)
−4( x + 5) = −4 x ? + − 20
(d)
−4(− x − 5) = 4 x ? + − 20
2.
[–/6 Points]DETAILSTGBASMATHP6 8.2.011.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Simplify each expression, if possible. (If not possible, enter IMPOSSIBLE.)
(a)
9(6 x)
(b)
9 + 6 x
(c)
5(−9 x)
(d)
5 − 9 x
(e)
3(4 x)(4)
(f)
3 + 4 x + 4
3.
[–/2 Points]DETAILSTGBASMATHP6 8.3.010.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
(a) To solve
|
h |
|
9 |
= 63,
do we multiply both sides of the equation by 9 or 63?
We multiply both sides by 9.We multiply both sides by 63.
(b) To solve
4 k = 20,
do we subtract 4 from both sides of the equation or divide both sides by 4?
We subtract 4 from both sides.We divide both sides by 4.
4.
[–/2 Points]DETAILSTGBASMATHP6 8.4.008.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Fill in the blanks.
To solve
|
x |
|
4 |
+ 6 = 2,
we can undo the ---Select--- addition subtraction multiplication division of 6 by subtracting 6 from both sides. Then we can undo the ---Select--- addition subtraction multiplication division by 4 by multiplying both sides by 4.
5.
[–/8 Points]DETAILSTGBASMATHP6 8.4.013.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Complete each step.
|
Solve: |
2 x − 4 |
= |
12 |
||||
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2 x − 4 + |
= |
12 + |
||||
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|
2 x |
= |
16 |
||||
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|
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= |
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||||
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|
x |
= |
8 |
||||
|
Check: |
2 x − 4 |
= |
12 |
||||
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|
2
− 4 |
≟ |
12 |
||||
|
|
− 4 |
≟ |
12 |
||||
|
|
|
= |
12 |
is the solution
6.
[–/1 Points]DETAILSTGBASMATHP6 8.4.016.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Solve the equation and check the result.
4 p + 9 = 49
p =
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