Question
upstudy study bank question image url

)) Use algebra tiles to find

Ask by Simmons Kelly. in the United States
Jan 23,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

To solve the expression using algebra tiles, let’s break it down step by step.

Step 1: Understand the Components

  1. First Polynomial:
    • : Represents seven tiles.
    • : Represents five tiles.
    • : Represents six negative unit tiles.
  2. Second Polynomial (to be subtracted):
    • : Represents ten negative tiles.
    • : Represents three negative unit tiles.

Step 2: Subtract the Second Polynomial

Subtracting is equivalent to adding its opposite:

Step 3: Combine Like Terms Using Algebra Tiles

  1. Combine Terms:
    • remains as there are no other terms to combine.
  2. Combine Terms:
  3. Combine Constant Terms:

Step 4: Write the Final Expression

Combine all the simplified terms:

Visual Representation with Algebra Tiles

While I can’t provide a visual diagram here, here’s how you can imagine the tiles:
  • Positive Tiles:
    • 7 tiles
    • 15 tiles
  • Negative Tiles:
    • 3 negative unit tiles
Arrange the tiles accordingly to represent the final simplified expression.

Final Answer

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

First, let’s combine the expressions using algebra tiles. You can visualize as 7 large tiles (representing ), 5 medium tiles (representing ), and 6 small red tiles (representing -6). Then, adding means you’ll have 10 more medium tiles and 3 additional small tiles, but they’ll be green (representing +3).
Now combine them: You have 7 large tiles, (still 7), 5 medium tiles plus 10 more giving you 15 medium tiles, and -6 plus 3 gives you -3. Thus, the simplified expression is:
Now, if you wanted to express this in algebraic form, it would look great as ! Algebra tiles make combining like terms a visual breeze!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy