1 Name_____________________________________________________Hr______Date_____________

ALLTHESEVIDEOSAREUNDERFINALEXAMUNDERFinal exam review with unit reviews with their videos THEN RELATEDLINKS

http://howellhighschool.ss12.sharpschool.com/student_information/teacher_webpages/mrs__villarreal_s_math___spanish_classes/algebra_i_prentice_hall/

Unit58.1-8.5&11.1-11.4:Simplifyingexponentsandradicals&scientificnotation

Unit6:Familyoffunctions5.3,6.2,6.4,6.8,11.4,8.6-8.8

Unit7Ch.9:Adding, Subtracting, multiplying and factoring Polynomials

Unit 8 Ch. 10: Solving quadratics by graphing, factoring, square root & quadratic formula.

Unit 5 Ch. 8 Videos Exponents

Video: 8.1 – 8.5 Practice Test Unit 5

Simplify each expression. Show all work.

1. (x4)-3 2. 5m0

3. (3x2)4 4. (5m)0

5. 2p6m-2 6. 9x5y3• 8x6y-3

7. 68 • 6-8 8. 3n5 • 5n2

2

9. n-6 • (n2)5 10. (3x2y)3(2x𝑦!)4

11. (5 x 10!!)(3.2 x 104) 12. .2 (3 x 10!)

13. 26⎟⎠

⎞⎜⎝

⎛mn

14. 152

95

pmpm

−

15. xx46 14

16. 7

3

101.2102.4

xx

3

Unit 5 Chapter 11 Videos Radicals Video: 11.1-11.4 review 2 Unit 5

1. 𝑦 = 7𝑥 − 2

Domain: ______________ Range: ______________

Completethetableandgraph.

2. 𝑦 = 2𝑥 − 6

Domain: ______________ Range: ______________

Completethetableandgraph.

x y

x y

4

Simplifyeachradical.(Remember,youwillnothavedecimalsinyouranswers.)

Showallofyourwork.

3) 3( 6 − 4 8 ) 4) !"!!"

!"!!

5) -2 11𝑚! ⋅2 33𝑚! 6) 6372 +

Solve each equation. CHECK YOUR ANSWERS.

7) 12416 =−+ x 8) 8615 −=+ xx

BoxyourfinalanswerPerfectSquares:

(Fillthisinifithelpsasareference)

1=________

2=________

3=________

4=________

5=________

6=________

7=________

8=________

9=________

10=________

11=________

12=________

5

Unit 6 Family of functions 5.3, 6.2, 6.4, 6.8, 11.4, 8.6-8.8

Video:Testreview3I’vegotitUnit6

Part1:Matcheachequationwiththecorrectfamily.

1)y=x+3____2)y= 5𝑥 + 2____3)y=x7____4)y= 2𝑥 ____5)𝑦 = 7 ∙ .3! ____

Part2:Completethetableandgraph

6)y=2∙3x

Domain x

Range y

– 2

– 1

0

1

2

5

10

15

1 2-1-2x

y

6 Part3:Writethefunctionruleforthesequenceandfindthe20thterm.

Use: Arithmetic: 𝑨 𝒏 = 𝒂𝟏 + 𝒏 − 𝟏 𝒅 OR Geometric: 𝑮 𝒏 = 𝒈𝟏 ∙ 𝒓𝒏!𝟏 7. 3, 7.5, 18.75, 46.875 … 8. 6, 15, 24, 33, ….. Rule: _________________________ Rule: ____________________________ 20th term:_________________ 𝟐𝟎𝐭𝐡 𝐭𝐞𝐫𝐦: _____________________ Part4:Writethefunctionrulefortheexponential.Showallworktofindthesolution.

9)HHShasaschoolpopulationofapproximately2450students.Thepopulationisdecreasingatarateof1.5%eachyear.Findthestudentpopulationin6years.

Rule:___________________________________ solution:_____________________

Work:

10)Samhasinvested$3000inanaccountthatpays3.6%peryear.Findhowmuchmoneyhewillhavein7years.

Rule:___________________________________ solution:_____________________

Work:

Part5:Graphthefollowingfunctions.11)𝑦 = 𝑥 + 8− 3 Domain: 12)𝑦 = 𝑥 − 3 + 5Vertex:

x y

x y

7

Describethetranslation__________________ Describethetranslation________________

Unit 7 Ch. 9 Videos

Video: ch .9 review 3 Unit 7

Write each polynomial in standard form. Give the degree. Classify by the number of terms. 1. y3 + 3y5 + y – y3 __________________________ Degree: ______; terms:____________

Simplify by adding or subtracting. Write each answer in standard form.

2. (3x4 + 5x2 + 5) + (5x4 – 10x2 + 11x) 3. (2x3 – 4x2 + 9x – 7) – (x3 + x2 –3x + 1) Simplify by multiplying. Write in standard form. 4. (2x + 5)(3x – 2) Factor each polynomial by finding the Greatest Common Factor (GCF). 5. 6x4 – 8x3 + 20x Factor each trinomial into the product of two binomials. Hint: grouping or magic box 6. 𝑥! − 9𝑥 + 14 7. 21w2 + 2w – 8 Factor each trinomial into the product of two binomials Hint: special cases, perfect squares

8 8. 9p2 - 30p + 25 9. m2 – 49

Unit 8 Ch. 10 Videos

Video:Ch.10practicetestVideoUnit8

Solveeachquestion.Showallworkforeveryproblem.

1.Answerthequestionsusingthegraph.

Vertex:___________MaximumORMinimum

AxisofSymmetry:_______________Whatarethesolutions?_________________Graphthefollowing.Listthevertex,axisofsymmetry,4 pointsand(solutions).

3.y=–2x2–8x–5

1 2 3 4–1–2–3–4 x

1

2

3

4

–1

–2

–3

–4

y

2.Answerthequestionsusingthegraph.

Vertex:__________MaximumORMinimumAxisofSymmetry:___________Whatarethesolutions?________________________

9 Find:AxisofSymmetry:________Vertex:__________MinimumORMaximum

𝑥 =−𝑏2𝑎

Get4otherpointsotherthanthevertex:

(___,___),(___,___),(___,___)

&(___,___)

Solutions:_____________________

Solvetheequationusingthezero-productproperty.

4.(x–3)(3x+4)=05.2𝑥! − 𝑥 − 21 =0

Useanymethodtosolvetheequation.Ifnecessary,roundtothenearesthundredth.

6.6x2–720=6 7.–3x2–4x=0

aacbbx

242 −±−

=

10 8.Supposeaballisthrowndirectlyupwardfromaninitialheightof9feetwithaninitialvelocityof36feetpersecond.Afterhowmanysecondswilltheballhittheground?Usetheequationh=-16t2+36t+9.

SOLVETHESYSTEMOFINEQUALITIESBYGRAPHING

VIDEO:SOLVETHESYSTEMOFINEQUALITIESBYGRAPHING

𝑦 > 𝑥𝑥 + 4𝑦 ≤ 8

SOLVETHESYSTEMOFINEQUALITIESBYGRAPHING

𝑦 > 2𝑥 − 53𝑥 + 4𝑦 < 12

11