Adding and Subtracting Polynomials

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Presentation transcript:

Adding and Subtracting Polynomials

Table of Contents Pg Title Vocab LI/SC, Guided Practice Adding and Subtracting Polynomials

Learning Intention/Success Criteria LI: We are learning how to add and subtract polynomials SC: I know how to -state the number of terms in an expression or equation -add integers -subtract integers -combine like terms

Example 1: Simplify 2x + 3x 2x + 3x 5x

Guided Practice 1 Simplify the following: 3g + 7g g + g + g g + g + g + g + g + g + g 10g

Guided Practice 2 Simplify the following: -3k + 6k A) 3 B) 3k C) -3k D) 3k2 -k + -k + -k k + k + k + k + k + k

Guided Practice 3 Simplify the following: 8w – 12w A) -4 B) -4w C) 4w D) 4w2

Example 2: Simplify (-2x + 3) + (3x – 6) __________ x – 3

Guided Practice 4 Simplify the following: (-3x + 6) + (5x – 3) A) 8x – 3 B) 2x + 3 C) -2x + 3 D) -8x – 3 -3x + 6 5x – 3 _______ 2x + 3

Guided Practice 5 Simplify the following: (7x – 5) + (-12x + 13) A) 19x + 18 B) 5x + 8 C) -5x + 8 D) -19x – 18 7x – 5 -12x + 13 _________ -5x + 8

Example 3: Simplify (18x – 23) – (10x – 5) __________ 8x – 18

Guided Practice 6 Simplify the following: (30x – 18) – (12x + 5) A) 18x – 23 B) 42x – 13 C) 18x – 13 D) 42x – 23 30x – 18 -12x + - 5 __________ 18x - 23

Guided Practice 7 Simplify the following: 3 + x -2 + -2x A) 3x + 5 B) 0 C) x – 1 D) – x + 1 3 + x -2 + -2x _________ 1 - x -x + 1

Example 4: Simplify (2x2 + 3x - 4) + (3x2 – 6x + 4) ____________ 5x2 – 3x + 0

Guided Practice 8 Simplify the following: (5x2 – 4) + (-8x2 + 6x + 10) A) 13x2 – 6x + 6 B) 13x2 + 6x – 6 C) -3x2 + 6x + 6 D) -3x2 – 6x – 6 5x2 + 0x – 4 -8x2 + 6x + 10 ___________ -3x2 + 6x + 6

Guided Practice 9 Simplify the following: (-2x2 + 3x – 4 ) – (4x2 – 6x + 3) A) -6x2 – 9x + 1 B) -6x2 + 9x + 7 C) -6x2 + 9x – 7 D) 6x2 – 3x – 1 -2x2 + 3x – 4 -4x2 + 6x + -3 ___________ -6x2 + 9x – 7