How to Multiply two Binomials Using Algebra Tiles?
One of the effective methods for visualizing the distributive property of multiplying binomials is the use of algebraic tiles. Algebra tiles are a visual tool that helps students who need to understand algebraic processes better. Here, we teach step-by-step how to multiply binomials using algebra tiles.
A step-by-step guide to Multiply two Binomials Using Algebra Tiles
Step 1: First, write the two binomials to be multiplied in two separate parentheses.
Step 2: Consider a rectangle for each term in the first binomial and show them with algebraic tiles.
Step 3: In the next step, consider a rectangle for each term in the second binomial and represent them with an algebraic tile.
Step 4: Multiply using the distributive property. For this, consider a rectangle of the first binomial and a rectangle of the second binomial.
Step 5: Multiply the labels on the rectangles and put the answer in a new rectangle. Repeat the same procedure for the remaining rectangles.
Step 6: For the last step, you have to combine all the rectangles to find the final answer.
Multiplying two Binomials Using Algebra Tiles-Example 1
Use algebra tiles to simplify: \((x-3)(2x+2)\).
Solution: Set up the grid as follow:
Here, cross out two \(x\) tiles on the first column and do the same on the second column.
Count the like terms inside the grid. Since the number of \(x^2\) tiles\(=2\), the number of \(-x\) tiles\(=4\), and the number of \(-1\) tiles \(6\), then, sum the like terms inside the grid. So, \(2x^2-4x-6\)
Exercises for Multiplying two Binomials Using Algebra Tiles
1.Use algebra tiles to simplify: \((2x-1)(2x+3)\).
2.Use algebra tiles to simplify: \((x+2)(3x+3)\).
Related to This Article
More math articles
- FREE SAT Math Practice Test
- How to Prepare for the HSPT Math Test?
- 10 Most Common 8th Grade PSSA Math Questions
- 8th Grade PARCC Math FREE Sample Practice Questions
- How to Solve Scientific Notation? (+FREE Worksheet!)
- 5th Grade Common Core Math Worksheets: FREE & Printable
- How to Find Inverse of a Function? (+FREE Worksheet!)
- Top 10 5th Grade PSSA Math Practice Questions
- How to Use the Law of Cosines to Find Angle Measure?
- Top 10 Tips to Create the SAT Math Study Plan
What people say about "How to Multiply two Binomials Using Algebra Tiles?"?
No one replied yet.