bell ringer – solve and graph 1. solving linear test review test on friday, 11/01/13 2
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1
Bell Ringer – Solve and Graph
−2<6−4 𝑥≤10−2<6−4 𝑥𝑎𝑛𝑑 6−4 𝑥≤10
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Solving Linear Test ReviewTest on Friday, 11/01/13
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Classifying Polynomials
Monomial
Binomial
Trinomial −7 𝑎5𝑏2𝑐+𝑏𝑐
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Classifying Polynomials
Monomial
Binomial
Trinomial 5 𝑥 𝑦 2√30 𝑥
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Classifying Polynomials
Monomial
Binomial
Trinomial 5 𝑥2𝑦 3𝑧−2𝑥4 𝑦+3 𝑦𝑧
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Degree of Polynomial
−7 𝑎5𝑏2𝑐+𝑏2Highest degree of a term in
the polynomial
8 2
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Degree of Polynomial
5 𝑥 𝑦 2Highest degree of a term in
the polynomial
3
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Degree of Polynomial
5 𝑦 6−2 𝑦5+3 𝑦2Highest degree of a term in
the polynomial
6 5 2
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Simplify
5 𝑦 4−2 𝑦 2+3 𝑦+10 𝑦2−11𝑦4+9 𝑦¿−6 𝑦 4+8 𝑦2+12 𝑦
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Simplify
−13 𝑎3+4 𝑎2−2𝑎3+6 a−8 𝑎2−10𝑎¿−15 𝑎3+−4𝑎2−4 𝑎
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Simplify
(5 𝑦 3−2 𝑦2+3 𝑦)−(10 𝑦 2−11 𝑦3+9 𝑦)
¿16 𝑦3+−12 𝑦 2+−6 𝑦
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Simplify
(−13 𝑎3+4 𝑎2)−(2𝑎3+6a−8𝑎2−10 𝑎)
¿−15 𝑎3+12𝑎2+4𝑎
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Solve
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(16+24 𝑥 )−4 𝑥=5 𝑥−6
12+18 𝑥−4 𝑥=5 𝑥−612+14 𝑥=5 𝑥−6𝑥=−2
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Solve
6−10 𝑥5
+1=2−3 x
5 ∙( 6−10𝑥5+1=2−3 x )
6−10𝑥+5=10−15 𝑥
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Solve
35
(2 𝑥+1 )+6=−9𝑥
5 ∙[ 35 (2 𝑥+1 )+6 ]=5 ∙−9𝑥3 (2 𝑥+1 )+30=−45𝑥6 𝑥+3+30=−4 5𝑥
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Solve Continued
6 𝑥+3+30=−4 5𝑥6 𝑥+33=−45 𝑥33=−51 𝑥−1117
=−3351
=𝑥
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Solve
𝑥−72
>5 (𝑥−7)
2 ∙[ 𝑥−72 >5(𝑥−7) ]𝑥−7>10(𝑥−7)𝑥<7
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Now Graph the Solution
7 86
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Solve
−33 ≤−7 𝑥−12<−26−33 ≤−7 𝑥−12∧−7 𝑥−12<−26
3≥ 𝑥𝑎𝑛𝑑 𝑥>2
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Now Graph the Solution
21 43
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Solve
2 𝑥−3<11𝑜𝑟−8 𝑥−10<−82
𝑥<7𝑜𝑟 𝑥>9
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Now Graph the Solution
76 98 10
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Which Property?
−5=2+3 𝑥−2
−2 ∙−5=−2 ∙2+3 𝑥−2
Multiplication Property of Equality
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Which Property?
(6−10𝑥 )+5=10−15 𝑥6+(−10𝑥+5)=10−15 𝑥
Associative Property
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Which Property?
53∙ [ 35 (2𝑥+1 )]1 (2𝑥+1 )
Multiplicative Inverse
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Stop here for the 2013 test
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Simplify
(12 𝑥+7)(−2 𝑥−5)¿−24 𝑥2+−60 𝑥+−14 𝑥+−35¿−24 𝑥2+−74 𝑥+−35
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Simplify
(5 𝑥2−1)(2 𝑥+3)¿10 𝑥3+15 𝑥3+−2𝑥+−3
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Simplify
(2 𝑥+7 )(−2 𝑥2+6𝑥−5)¿−4 𝑥3+12𝑥2+−10 𝑥+−14 𝑥2+42𝑥−35¿−4 𝑥3+−2𝑥2+32𝑥+−35
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Simplify
¿10 𝑥3+−15 𝑥2+−18 𝑥2+27 𝑥+2 𝑥−3¿10 𝑥3+−33 𝑥2+29𝑥+−3
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Solve
−8=−2|2+ 𝑥5 |+6−14=−2|2+ 𝑥5 |7=|2+𝑥5 |
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Solve continued
7=2+𝑥5𝑎𝑛𝑑−7=2+
𝑥5
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Solve
−5≤|2+3𝑥|−2
−2 ∙[−5≤|2+3𝑥|−2 ]10≥|2+3𝑥|10≥2+3 𝑥∧−10≤2+3 𝑥
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Solve continued
𝑥≤223𝑎𝑛𝑑 𝑥≥−4
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Now Graph the Solution