Using Properties to Simplify Expressions
Instruction Active
Matching Equivalent Expressions
Match each expression on the left with an equivalent expression on the right
PLS HELP
Answers
Answer:
1) 2x-3 = x -3 + x
2) 2x - 6 = -6 + 2x
3) [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]
4) 3x+0 = 3x
5) [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]
Step-by-step explanation:
We need to match each expression on the left with an equivalent expression on the right
The expressions are equivalent if the have the same results.
1) 2x - 3
Looking at the options the best match is:
x -3 + x
When solve we get:
2x-3
So, 2x-3 = x -3 + x
2) 2x - 6
Looking at the options the best match is:
-6 + 2x
Because according to commutative property: a+b = b+a
So, 2x - 6 = -6 + 2x
3) [tex]\frac{3}{5}-\frac{13}{5}[/tex]
First simplifying the given expression:
[tex]\frac{3}{5}-\frac{13}{5}\\=\frac{3-13}{5}\\=\frac{-10}{5}\\=-2[/tex]
Looking at the options, -6.9+4.9 = -2
So, [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]
4) 3x + 0
Looking at the options the best match is:
3x
Because, adding 0 in 3x will result in 3x
So, 3x+0 = 3x
5) [tex]\frac{5}{3}-x+\frac{1}{3}[/tex]
First simplifying:
[tex]\frac{5}{3}-x+\frac{1}{3}\\=\frac{5-3x+1}{3}\\=\frac{6-3x}{3}\\= \frac{3(2-x)}{3}\\=2-x[/tex]
Now, solving the option: [tex]-\frac{3}{2}x+2+\frac{1}{2}x[/tex]
[tex]=\frac{-3x+4+1x}{2}\\=\frac{-2x+4}{2}\\=\frac{2(-x+2)}{2}\\=-x+2\\or\\=2-x[/tex]
So, [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]
Related Questions
The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.
Answers
Answer:
Mean=X=12
SD=3
W=7+2X
Mean(W)=7+2Mean(X)
Mean(W)=7+2(12)
=7+24=31
SD(W)=2SD(X)
SD(W)=2(3)=6
Ans: D
in the figure, AC=20cm CD=22cm and AE=16cm find the length of BD.
Answers
Answer:
17.6 cm
Step-by-step explanation:
Area of triangle equals to half of the base times height, i.e. A = 1/2 × b × h.
1/2 x 22 x 16 = 1/2 x 20 x BD
BD = (1/2 x 22 x 16) / (1/2 x 20)
BD = 17.6 cm
Pls help easy points
Answers
Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99
Step-by-step explanation:
To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.
Which pair of numbers is relatively prime?
A 7 and 21
B 4 and 15
C 6 and 9
D 9 and 27
Answers
Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.
Answers
Answer:
Step-by-step explanation:
here you go mate
step 1
-2(-4x-1)-x+3=−30 equation/Question
step 2
-2(-4x-1)-x+3=−30 distribute
7x+5=-30
step 3
7x+5=-30 subtract 5
7x=-35
step 4
[tex]\frac{7x}{7} =\frac{-35}{7}[/tex] divide
answer
x=-5
Answer:
-2(-4x-1)-x+3=-30
8x+2-x+3=-30
7x+5=-30
7x=-30-5
7x=-35
x=-35÷7
x=-5
There are 7 cars in an amusement park ride. There are 42 people divided equally among the 7 cars. An equal number of people ride in each car. How many people ride in one car?
Answers
Explanation:
42 divided by 7 is 6. This means 42 people divided amongst 7 cars.
Answer:
there will be 6 people per cart
Step-by-step explanation:
if u divide 42 the number of people by the number of carts u get 6 so 6 people per cart and
I need help with this math question
Answers
i think it’s 60%
explanation:
117/195=?/100
i multiplied 117 by 100 and got 11,700. Then, I divided 11,700 by 195 and got 60.
hoped this helped.
PLEASE HELP ME QUICKLY I NEED THIS SOON!!!!
Katherine and Alex both work at the burger barn. Katherine earned three times as much on her last paycheck as Alex did on his. If Katherine’s earnings were $351 then how much did Alex earn?
Answers
Answer:
Alex earned $117
Step-by-step explanation:
You just have to divide 351 by 3
Hope this helps :)
Dan is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dan wants to get 83 balloons, how many yards of string will he need?
Answers
Answer:
I would think its 249 because 9 divided 3= 3 because 3 feet is 1 yard and then you do 83x3 and then you get 249.
Step-by-step explanation:
On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many people were surveyed?
1) 486
2) 870
3) 1,350
4) 2,025
Answers
Answer:
Answer is number 3
Step-by-step explanation:
(-30i) +(52-30i) express your answer in the form (a+bi)
Answers
Step-by-step explanation:
-30i + 52 - 30i
= 52 - 60i.
Here a is 52 and b is -60.
The Tigers basketball team scored the following points during the regular season: 52, 75, 90, 48, 90.
What is the range of these scores?
A. 42
B. 90
C. 71
D. 75
E. 38
Answers
Answer:
D
Step-by-step explanation:
Answer: the answer should be 90 :)
PLEASE ANDWER
y = 10 x + 2
What is x?
Is this proportional?
Answers
Answer:
x the (x) value of the ordered pair, it is proportional.
Step-by-step explanation:
sam can make 10 bracelets in 4 hours. how many bracelets can he make in 1 hour. 2 hours. and 3 hours.
Answers
Answer:
1 hour- 2 bracelets ; 2 hours 2 bracelets; 3 hours 4 bracelets
Step-by-step explanation:
i dont know if correct
what is 4 1/2-3 5/6 from page 393 GO Math book
Answers
Answer:
The answer is 1/6
Step-by-step explanation:
This is the answer because it is.
This is the answer because
What is the equation of the given circle?
Answers
Answer:
According to the above figure,
Centre:(-3,2), radius =1[tex] {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} \\ \boxed{ {(x + 3)}^{2} + {(y - 2)}^{2} = 1}[/tex]
B. is the right answer.Pls I need the answer
Answers
Answer:
13/200
Step-by-step explanation:
so we grab the fraction:
6 1/2%
make it a decimal instead of a fraction
6.5%
divide it by 100 to get
6.5/100
and multiply it by 2 because decimals have no place inside fractions lol
13/200
what does 72 x ? = 300
Answers
Answer: 25/6
Step-by-step explanation:
Answer:
? = 4.1667
Step-by-step explanation:
300/72 = 4.1667
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
below this text is the question
Answers
Substitute x=5 into the expression 4x-8 and simplify
Answers
Answer:
4(5) - 8
20 - 8
= 12
The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.
Answers
Answer:
L=25.25 in
W= 6.75in
Step-by-step explanation:
Step one
Given data
Let the width be x
W= x
and length
L= 3x+5
Perimeter= 64 in
Step two:
we want to find the dimension of the rectangle
We know that perimeter is
P= 2W+2L
64= 2*x+2*(3x+5)
64= 2x+6x+10
collect like terms
64-10=8x
54= 8x
divide both sides by 8
x= 54/8
x= 6.75in
We know that the length is
L= 3x+5
L= 3*6.75+5
L= 20.25+5
L=25.25 in
Find the slope and y-intercept of the line. Enter the y-intercept as the y-value of the point where the
graph intersects the y-axis.
3x + 3y = 6
Answers
Answer:
Slope: -1, y-intercept: 2.
Step-by-step explanation:
3x + 3y = 6 in slope intercept form is y = -x + 2. Slope-intercept form is y = mx + b. As we know, m is slope and b is y-intercept. This means the slope is -1 and the y-intercept is 2.
On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?
220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220
Answers
Answer:
A
Step-by-step explanation:
0 is sea lvl so just add and subsubtract
Answer:
A
Step-by-step explanation:
its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.
Hope that helps!
~Emma~
Can zeros be written at the end of a decimal without changing the number that it represents?
Answers
Answer: yes, zeroes are simply just a place holder to make the number easier to read
Step-by-step explanation:
Example:
0.4 is the same as 0.40
Which of the following is 3x²/12x simplified?
3x/12
x/4
x/3
x²/4x
Answers
Answer:
I think it is the last one
Step-by-step explanation:
Jessica is making party punch. The recipe calls for 1 3/4 cups of cranberry juice. How many fluid ounces is this?
Which student is correct?
Answers
Student A is correct, this is because 1.75 cups converts to 14 fluid ounces.
1 1/2k + 1/2 (18 + 16k)
help pls
Answers
Answer:
[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]
Spider monkey the tail is. 60% of the length shown. What is the length of its tail
Answers
Answer:
male monkeys tail can have 1 to 1.5 feet or 31 to 45 cm
female monkeys tail can have 2.1 to 2.5 feets or 64 to 75 cm
–4x-2y=-2
x-2y=9
what do you get if you subtract the second from the first
Answers
Answer:
-4×-2y=2
-4×+8y=-8
6y=6
y=1 then you the value of y and to put in any one equestion
8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches
Answers
Answer:
71
Step-by-step explanation:
i just want to ask a question sorry for not being helpful
