1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lozanna [386]
3 years ago
8

How do I Simplify 4a – 7b + 2ab – a + b (I need step by step cause I'm trying to learn this)

Mathematics
1 answer:
Alex3 years ago
4 0

Step-by-step explanation:

Ok. First of all, we need to follow the order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. We don't have any parentheses, exponents, or division to resolve, so you can skip those. So now you have: Multiplication, Addition, and Subtraction. We have multiplication in each term, but each term is fully simplified, so we have Addition and Subtraction left.

With that out of the way, let's go ahead and rearrange this equation so it is easier to solve. (<em>Note: we can only rearrange terms that are positive because subtraction is not commutative. But we can turn negative terms into "positive" terms by the method shown below.</em>)

4a - 7b + 2ab - a + b

4a + (-7b) + 2ab + (-a) + b (<em>Now the terms are all positive, so we can rearrange them, but they still have the same value.</em>)

4a + (-a) + 2ab + (-7b) + b

3a + 2ab + 7b

And there we go. Our answer is fully simplified. If you can understand this, you'll be able to simplify without isolating and rearranging the terms each time.

Hopefully this was helpful and not confusing.

You might be interested in
Ty collects coins from all over the world.He had 25 coins and received 14 on his birthday.What was the percent increase in coins
Ugo [173]
SOLUTION:

Amount added / Original amount × 100% = % increase

14 / 25 × 100 = 56%

FINAL ANSWER:

Therefore, the percentage increase in coins is 56%.

Hope this helps! :)
6 0
3 years ago
If y=3x - 5, find the value of y when x = -1yn
kupik [55]

Answer:

y = 3x - 5 \\ x =  - y \\ substitute \:  - y \: in \: the \: place \: of \: x \\ y =  - 3y - 5 \\ y + 3y = 5 \\ 4y = 5 \\ y =  \frac{5}{4}

6 0
2 years ago
If the exponential parent function,
laila [671]

Answer: f(x) =3^{-x}-4

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If f(x)+k, the function is translated up "k" units.

If f(x)-k, the function is translated down "k" units.

If -f(x), the function is reflected across the x-axis.

If f(-x), the function is reflected across the y-axis.

Therefore, knowing those transformations and given the exponential parent function:

f(x) = 3^x

If it is reflected across the y-axis and the it is  translated down 4 units, we can determine that the resulting function is:

f(x) =3^{-x}-4

6 0
3 years ago
Ryan bought a digital camera with a list price of $150 from an online store offering a 5% discount. He needs to pay $5.50 for sh
Ivenika [448]
Total cost = 0.95 x $150 + $5.50 = $142.50 + $5.50 = $148
5 0
3 years ago
Read 2 more answers
What decimal is equivalent to each fraction?
Maksim231197 [3]
1/6 = 0.16 with a line over the 6 because it is repeating
3 0
3 years ago
Other questions:
  • Simplify the square root of x to the power of 16 times y to the power of 36.
    15·1 answer
  • To make an orange drink John uses 4 cups of water and 5 spoonfuls of powder. Joan
    6·1 answer
  • One side or a square is ten units.which is greater,the number of square units for the area of the square or the number of units
    12·1 answer
  • What would be the root of (x^2 + 2)?
    6·1 answer
  • 1.5(−2.4+(−5.3)) ​= ?
    12·2 answers
  • How many km per hour must you swim if you want to cross a 5km channel in 7 hours
    9·1 answer
  • Dylan makes $336 for 32 hours of work, and Angela makes $420 for 42 hours of work. How much do Dylan and Angela each make per ho
    8·2 answers
  • 60 = x^2 + 4x<br> Sixty equals x squared plus four times x.
    5·1 answer
  • Please help I will give brianilst
    13·1 answer
  • Find the exact value for the expression under the given conditions.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!