1

Bell Ringer – Solve and Graph

−2<6−4 𝑥≤10−2<6−4 𝑥𝑎𝑛𝑑 6−4 𝑥≤10

2

Solving Linear Test ReviewTest on Friday, 11/01/13

3

Classifying Polynomials

Monomial

Binomial

Trinomial −7 𝑎5𝑏2𝑐+𝑏𝑐

4

Classifying Polynomials

Monomial

Binomial

Trinomial 5 𝑥 𝑦 2√30 𝑥

5

Classifying Polynomials

Monomial

Binomial

Trinomial 5 𝑥2𝑦 3𝑧−2𝑥4 𝑦+3 𝑦𝑧

6

Degree of Polynomial

−7 𝑎5𝑏2𝑐+𝑏2Highest degree of a term in

the polynomial

8 2

7

Degree of Polynomial

5 𝑥 𝑦 2Highest degree of a term in

the polynomial

3

8

Degree of Polynomial

5 𝑦 6−2 𝑦5+3 𝑦2Highest degree of a term in

the polynomial

6 5 2

9

Simplify

5 𝑦 4−2 𝑦 2+3 𝑦+10 𝑦2−11𝑦4+9 𝑦¿−6 𝑦 4+8 𝑦2+12 𝑦

10

Simplify

−13 𝑎3+4 𝑎2−2𝑎3+6 a−8 𝑎2−10𝑎¿−15 𝑎3+−4𝑎2−4 𝑎

11

Simplify

(5 𝑦 3−2 𝑦2+3 𝑦)−(10 𝑦 2−11 𝑦3+9 𝑦)

¿16 𝑦3+−12 𝑦 2+−6 𝑦

12

Simplify

(−13 𝑎3+4 𝑎2)−(2𝑎3+6a−8𝑎2−10 𝑎)

¿−15 𝑎3+12𝑎2+4𝑎

13

Solve

34

(16+24 𝑥 )−4 𝑥=5 𝑥−6

12+18 𝑥−4 𝑥=5 𝑥−612+14 𝑥=5 𝑥−6𝑥=−2

14

Solve

6−10 𝑥5

+1=2−3 x

5 ∙( 6−10𝑥5+1=2−3 x  )

6−10𝑥+5=10−15 𝑥

15

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

16

Solve Continued

6 𝑥+3+30=−4 5𝑥6 𝑥+33=−45 𝑥33=−51 𝑥−1117

=−3351

=𝑥

17

Solve

𝑥−72

>5 (𝑥−7)

2 ∙[ 𝑥−72 >5(𝑥−7)   ]𝑥−7>10(𝑥−7)𝑥<7

18

Now Graph the Solution

7 86

19

Solve

−33 ≤−7 𝑥−12<−26−33 ≤−7 𝑥−12∧−7 𝑥−12<−26

3≥ 𝑥𝑎𝑛𝑑 𝑥>2

20

Now Graph the Solution

21 43

21

Solve

2 𝑥−3<11𝑜𝑟−8 𝑥−10<−82

𝑥<7𝑜𝑟 𝑥>9

22

Now Graph the Solution

76 98 10

23

Which Property?

−5=2+3 𝑥−2

−2 ∙−5=−2 ∙2+3 𝑥−2

Multiplication Property of Equality

24

Which Property?

(6−10𝑥 )+5=10−15 𝑥6+(−10𝑥+5)=10−15 𝑥

Associative Property

25

Which Property?

53∙ [ 35 (2𝑥+1 )]1 (2𝑥+1 )

Multiplicative Inverse

26

Stop here for the 2013 test

27

Simplify

(12 𝑥+7)(−2 𝑥−5)¿−24 𝑥2+−60 𝑥+−14 𝑥+−35¿−24 𝑥2+−74 𝑥+−35

28

Simplify

(5 𝑥2−1)(2 𝑥+3)¿10 𝑥3+15 𝑥3+−2𝑥+−3

29

Simplify

(2 𝑥+7 )(−2 𝑥2+6𝑥−5)¿−4 𝑥3+12𝑥2+−10 𝑥+−14 𝑥2+42𝑥−35¿−4 𝑥3+−2𝑥2+32𝑥+−35

30

Simplify

¿10 𝑥3+−15 𝑥2+−18 𝑥2+27 𝑥+2 𝑥−3¿10 𝑥3+−33 𝑥2+29𝑥+−3

31

Solve

−8=−2|2+ 𝑥5 |+6−14=−2|2+ 𝑥5 |7=|2+𝑥5 |

32

Solve continued

7=2+𝑥5𝑎𝑛𝑑−7=2+

𝑥5

33

Solve

−5≤|2+3𝑥|−2

−2 ∙[−5≤|2+3𝑥|−2 ]10≥|2+3𝑥|10≥2+3 𝑥∧−10≤2+3 𝑥

34

Solve continued

𝑥≤223𝑎𝑛𝑑 𝑥≥−4   

35

Now Graph the Solution