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C OMBINING L IKE T ERMS Section 1.4. T ERMS L IKE T ERMS U NLIKE T ERMS.
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Transcript of C OMBINING L IKE T ERMS Section 1.4. T ERMS L IKE T ERMS U NLIKE T ERMS.
COMBINING LIKE TERMSSection 1.4
TERMSTerms are separated by + and –
signs in an algebraic expression
(3 terms)
LIKE TERMS UNLIKE TERMS
4 𝑥+8𝑥 3 𝑥+5
2 𝑦−7 𝑦 3 𝑥−7 𝑦
5 𝑥2+7 𝑥2 2 𝑥2+6 𝑥
−2 𝑥𝑦2−9 𝑥 𝑦 2 9 𝑥𝑦2+2 𝑥2
LIKE TERMSTerms that contain the same
variables, with corresponding variables having the same power.
HANDS-ON EQUATIONSBlue Pawn: Positive xWhite Pawn: Negative xGreen Cube: Positive numbers
Red Cube: Negative numbers
REPRESENT
3x+5+2x+2
REPRESENT
2x+3+5x-6
REPRESENT
-3x+1-2x-6
REPRESENT
4x-8-5x+2
SIMPLEST FORM Contains no like terms and no parentheses.
COMBINING LIKE TERMS
Application of the distributive property.
COEFFICIENT
It is the numerical factor. The number being multiplied by the variable.
To combine like terms we can simply combine the coefficients of the like terms.
SIMPLIFY:
17 𝑥+18 𝑦+3 𝑥+5
SIMPLIFY:
6 𝑥2+7 𝑥−2 𝑥2−4 𝑥
SIMPLIFY:
8 𝑦3−7 𝑦+6 𝑦 2+3 𝑦3−4 𝑦
SIMPLIFY:
2 𝑥−3 𝑦+8 𝑥−7 𝑦+3
SIMPLIFY:
7 𝑦2−10 𝑦−12 𝑦+4 𝑥2
SIMPLIFY:
5 (3 𝑥+7 )−8 𝑥
SIMPLIFY:
6 (2 𝑥−3 )−8 (5𝑥−2)
SIMPLIFY:
−4 (7 𝑥−8 )−(3 𝑥+9)
SIMPLIFY:
5 (2 𝑥+3 𝑦 )+4 (𝑥−2 𝑦 )+3
HOMEWORK Worksheet