adding and subtracting polynomials

Presentation

•

Mathematics

•

9th - 12th Grade

•

Medium

•

CCSS

HSA.APR.A.1, 7.EE.A.1, 6.EE.A.2B

Standards-aligned

Rahman Abdul-Muwwakil

Used 13+ times

FREE Resource

3 Slides • 11 Questions

Adding and Subtracting polynomials

By Rahman Abdul-Muwwakil

ADDING POLYNOMIALS

Like Terms are terms with the same variable(s) raised to the same power. To simplify expressions combine like terms by adding the coefficients

Example: 12p² + 5p +10p²

12p²and 10p²are the like terms

22p²+ 5p this is the simplified version from adding like terms.

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

add the following polynomial: $7x\ +4\ +10x\ -\ x^2$

$16x^2+4$

$20x^2$

$-x^2+17x+4$

$-x^2\ +\ 21x$

Poll

What are the like terms of the expression? $\left(x^2+3x-8\right)+\left(-2x^2+2x\right)$

There are two sets:

$x^2\ ,\ \ -2x^2$

$-8,\ \ 2x$

There is one set:

$x^2,\ -2x^2,\ 3x\ ,\ 2x$

There are two sets:

$x^2,\ -2x^2$

$3x,\ 2x$

There are no like terms.

Multiple Choice

Simplify the following expression: $\left(x^2+3x-8\right)+\left(-2x^2+2x\right)$

$-x^2-3x$

$-3x^2+5x-8$

$-x^2+5x-8$

$4x^2-8$

Poll

What are the like terms of the expression: $\left(x^2-x+2\right)-\left(2x^2-x-1\right)$

$x^2,\ 2x^2$

and

$-x,\ -x$

and

$2,\ -1$

$x^2,\ 2x^2,\ -x,\ -x$ and

$2,\ -1$

Multiple Choice

simplify: $\left(x^2-x+2\right)-\left(2x^2-x-1\right)$

$3x^2-2x+1$

$-3x^2+2x-1$

$-x^2+x+3$

$-x^2+3$

Multiple Choice

Which of the following are examples of like terms?

2 and 2x

y³and x³

y and x

-3x and 3x

Multiple Choice

Add the polynomials.
(2x + 5y) + (3x - 2y)

3x + 5y

5x + 3y

5x + 7y

7xy + 1xy

Multiple Choice

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

3x²- x

4x²+ 2x

3x² + 3x

3x² + 2x

Multiple Choice

Add or Subtract to Simplify:
(x + 2x²) + (4x² + 7x)

6x² + 8x

8x² + 6x

2x² + 6x

2x² + 8x

Multiple Choice

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

2x² + x + 2

x + 2

2x² + x - 10

x - 10

Multiple Choice

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

3a² + 2a - 1

a²+ 8a + 7

3a²+ 8a + 7

a² + 2a - 1

Adding and Subtracting polynomials

By Rahman Abdul-Muwwakil

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