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Marta_Voda [28]
3 years ago
13

The most important component of a physical structure is a solid foundation on which the rest of the structure sits. A strong fou

ndation allows buildings to last longer and withstand many outside forces.
Just like the foundation of a building, a strong foundation for algebra is critical for success and allows you to extend your understanding to more complex mathematical and real-world situations. What are some of the foundational, or key, concepts of algebra that you have learned so far?
Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer and explanation:

Algebra is based on the basic concept of representing figures with letters called variables that are used in finding the unknown numbers. Algebra basically goes from known to unknown in finding unknown values. For example if we know that a particular product was bought 2 times but we do not know the price at which it was bought then we could represent this value as 2a or 2p whatever letter is chosen. If we also know that the total price of what was bought is for example $50 we could then equate this value 2a to $50, 2a=$50 to find price per product =$25.

Algebras could also be in form of expression called algebraic expressions and used in equations such as the above 2a=$50. Algebraic expressions could take the form 2a+3b for example where a and b may be prices of different products bought 2 units and 3 units respectively

You might be interested in
Write the word sentence as an inequality.
IRINA_888 [86]

Answer:

w + 2.3 > 18

Step-by-step explanation:

w + 2.3 is the representation of a number w added to 2.3. We also know that this is more than (>) 18. Overall this can be represented by:

w + 2.3 > 18

5 0
2 years ago
Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationa
Artist 52 [7]

Answer:

Yes, they have the same solution.

Step-by-step explanation:

The steps in solving a two-step equation are to simplify by using

  1. The inverse of addition or subtraction and then
  2. The inverse of multiplication or division

Equation 1

\dfrac{2}{3}x + \dfrac{3}{4} = 8

(a) Inverse of addition

\begin{array}{rcl}\dfrac{2}{3}x + \dfrac{3}{4} - \dfrac{3}{4}& = & 8 - \dfrac{3}{4}\\\\\dfrac{2}{3}x & = & \dfrac{29}{4}\\\end{array}

(b) Inverse of multiplication

\begin{array}{rcl}\left (\dfrac{2x}{3}\right ) \left (\dfrac{3}{2}\right ) & = & \left (\dfrac{29}{4}\right ) \left ( \dfrac{3}{2} \right ) \\\\x & = & \dfrac{87}{8}\\\end{array}

Equation 2

8x = 87

(a) Inverse of multiplication

\begin{array}{rcl}\dfrac{8x}{8} & = & \dfrac{87}{8}\\\\x & = & \dfrac{87}{8}\\\end{array}

The two equations have the same solution.

For the first equation, I used the inverse of addition and then the inverse of multiplication to get the value of x.

The second equation needed only the inverse of multiplication.

Both solutions were the same.

8 0
4 years ago
I need to check if it's correct. Can someone tell me how to explain the whole thing ​
algol13

One plus one u need to subscribe

4 0
3 years ago
Find the value of x and y
GarryVolchara [31]

Answer:

x = 60

y = 30

Step-by-step explanation:

We know that all triangles' interior angles combined must have a sum of 180.

Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.

Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:

90 - 60 = y

90 - 60 = 30

y = 30

Now that we know the value of y, it's time to find the value of x.

We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).

Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:

180 - (90 + y) = x

180 - (90 + 30) = x

180 - 120 = x

180 - 120 = 60

x = 60

This gives us the answers y = 30 and x = 60

7 0
3 years ago
Which expression is equivalent to (4 + 3i) - (8 - 61)?
Wewaii [24]

Answer:

Its C

Step-by-step explanation:

6 0
3 years ago
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