# Monomial 3 x binomial 2 x 5 trinomial x 2 2 x 1 use

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Monomial: 3xBinomial: 2x5Trinomial: x22x1Use algebra tiles to representa polynomial.We use these tiles:A pair of tiles with the sameshape and size, but differentcolours forms a zero pair.The tiles model 0.Simplify polynomials bycombining like terms.To simplify a polynomial, addthe coefficients of like terms.Add polynomials.To add polynomials, removethe brackets and add thecoefficients of like terms.variable term3x22x4Unit 5 Study Guidecoefficientconstantdegree 2x2x2xx1–1000Subtract polynomials.To subtract a polynomial,add the opposite terms.Multiply a polynomial by amonomial.To multiply a polynomial bya monomial, use thedistributive property.Divide a polynomial by amonomial.To divide a polynomial bya monomial, divide eachterm of the polynomial bythe monomial.x22x1(4x23x) (x25x)4x23xx25x4x2x23x5x5x22x3x– 432x8x24x28x24x2 32x8x
222 1.Is the polynomial a monomial, binomial, or trinomial? a)3s211 _____________.b)8d_____________.c)2e29e7 _____________.d)8h1 _____________.2.Sketch algebra tiles to model each polynomial.a)3k4b)2m2m3c)n2 5n 2 3.Simplify each polynomial. ________________________________________________________________________________________________________________________________c)13 6h2h27h9d)9k215k8 2k24k3________________________________________________________________________________________________________________________________________________________________ 4. Identify and explain any errors you find.a)2x25x7x2____________________________________________________________________________________________________________________________________b)5s7s2s____________________________________________________________________________________________________________________________________5.1Unit 5 Review5.25.Sketch algebra tiles to model each sum. Then write the sum.a)(5e7) (4e1)b)(6f22f5) (4f2f3)Remaining tiles: _________________Remaining tiles: ____________________________So, (5e7) (4e1)__________So, (6f22f5) (4f2f3)______________ 5.3
2236.Add.a)(7r11) (2r3)b)(9s25s) (16s29s14)__________________________________________________________________________________________________________________________________________________________________ 7.Use algebra tiles to model each difference. Sketch the tiles that remain, then write the difference. Remaining tiles: ________________Remaining tiles: ____________________So, (2t5) (5t7)_______So, (7u2) (u23u1)_____________ 8.Subtract. 6v5 (____________)_____________________________________________________________________________________________________________________________________________________________________________________________________ 9.Write the multiplication sentence modelled by each set of tiles. a)b)___________________________________________________________ 10.Multiply. 6(_______) 6(_______)______________________________________________________________________________________________ ______________________________________ 5.4 5.5
11.Divide. a (___)______________________________________________________________________________________ 12.Sketch algebra tiles to multiply. Write the product each time. 1688827b2 9b36916a4082245.6 14.Divide. a)b)c)__________k__________________________________________________________________________________________________kkkk2k21733n236n3n81m245m9m21k27k 13.Multiply. (3e)(___)(3e)(___)_______________________e2(___)e__________________________________ ____________________ 1 1

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• Fall '19
• Algebra, Coefficient, constant term, 1