Algebra 2 - Summer Assignment...Algebra 2 - Summer Assignment Algebra II Instructions: This is Due the FIRST DAY OF SCHOOL!! (September 5, 2019) Algebra II LinkIt Test - Algebra 2

Algebra 2 - SummerAlgebra 2 - SummerAssignmentAssignment

Algebra II

Instructions:Instructions:

This is Due the FIRST DAY OF SCHOOL!!(September 5, 2019)

Algebra II

LinkIt Test - Algebra 2 - Summer Assignment Page 1 of 16

Algebra II


Question 1.Question 1.The value of a painting can bepredicted by the expression

120(1.08)t, where t is the number ofyears since 2014.What does the value 120 represent?

Question 2.Question 2.If the expression f2+g4−2f+1 isrewritten in the form a2+(g2)2, whatmust be the value of a?

Drag and drop the answer into thebox below.

f - 2f - 2 f - 1f - 1 f + 1f + 1f + g - 1f + g - 1

DEST_1

Question 3.Question 3.The product of two binomials, u(x)and v(x), is a binomial of degree 8with a positive leading coefficient.What must be true about the sum ofu(x) and v(x)?

Question 4.Question 4.An art teacher needs to buy at least60 brushes for her class. The brushesare sold in packs of 8.In which inequality does n representthe minimum number of packs theteacher needs to buy for her class?

the predicted value of thepainting in 2014

A.

the predicted change in thevalue of the painting eachyear

B.

the predicted percent changein the value of the paintingeach year

C.

the number of years forwhich the value of thepainting is predicted tocontinue changing

D.

It is a binomial of degree 4.A.

It is a binomial of degree 8.B.

It is a monomial of degree 4.C.

It is a monomial of degree 8.D.

8n ≥ 60A.

8n ≤ 60B.

8 ≥ 60nC.

8 ≤ 60nD.

Algebra II


Question 5.Question 5.A booster club paid for pizzas for anend of season party. They paid $13for each pepperoni pizza and $11 foreach plain pizza. The club bought atotal of 18 pizzas for the party andpaid a total of $212.Drag and drop the numbers to theboxes to create an equation whichmodels this situation if xx = thenumber of pepperoni pizzas and yy =the number of plain pizzas bought.

1010 1111 1212 1313 14141515

DEST_1 xx + DEST_2 yy = 212

Question 6.Question 6.Consider the equation:

3(1 + px) = 12x

For what value of p does the equationhave no solution?

Question 7.Question 7.What are the solutions of the

equation (x− 25)2 = 36?

3A.

4B.

12C.

36D.

-1 and 11A.

5 and 6B.

25 and 6C.

19 and 31D.

Algebra II


Question 8.Question 8.Daniel drove from his house to hisoffice. The graph shows the distanceDaniel had left to travel after drivingfor tt minutes.

Drag and drop numbers to the boxesto complete the sentence below.

1010 1515 2020 2525

Daniel's office is located DEST_1miles from his house, and it took

Daniel DEST_2 minutes to drivethat distance.

Question 9.Question 9.Sam and Ava compared the weightsof their puppies each month duringthe first half of 2015. The graphsgenerated from this data are shownbelow.

Which claim is best supported by thegraph?

At the start of 2015, theweight of Sam's puppy wastwo times the weight of Ava'spuppy.

A.

At the start of 2015, theweight of Ava's puppy wastwo times the weight ofSam's puppy.

B.

During the first half of 2015,the weight of Sam's puppyincreased two times as fastas the weight of Ava's puppy.

C.

During the first half of 2015,the weight of Ava's puppyincreased two times as fast

D.

Algebra II


Question 10.Question 10.Justin wants to buy plants for hisproperty, and he can afford to spendat most $480. The local nursery sellsholly bushes for $24 each andbayberry shrubs for $20 each.Select all of the combinations ofplants of holly bushes and bayberryshrubs that Justin could buy.

Question 11.Question 11.The graph of an equation is shown.

Select all the ordered pairs that aresolutions of the equation.

as the weight of Sam'spuppy.

10 holly bushes and 12bayberry shrubs

A.


B.


C.


D.


E.

(-7, 1)A.

(-1, 7)B.

(0, 5)C.

(2, 3)D.

(3, 2)E.

(5, 0)F.

Algebra II


Question 12.Question 12.Clara was solving the equation4n+ 2 − 3(2 − n) = 31 the workingfor which is shown below.

Drag and drop phrases to justify thesteps in Clara's work.

Question 13.Question 13.Brandon purchased a new guitar in2012. The value of his guitar, t yearsafter he bought it, can be modeled bythe function A(t) = 145(0.95)t.Drag and drop the answer to theboxes below to complete thesentence.

145145 0.950.95a decrease ofa decrease of an increase ofan increase of5%5% 45%45% 95%95%

The rate of change in the value of theguitar is modeled by DEST_1 ,

which represents DEST_2

DEST_3 per year.

Question 14.Question 14.The length of a rectangle length is 20units more than its width. The area ofthe rectangle x4 − 100.Which expression represents thewidth of the rectangle?

x2 − 10 because the areaexpression can be rewritten

as (x2 − 10)(x2 + 10) which

equals

(x2 − 10)((x2 − 10) + 20).

A.

x2 + 10 because the areaexpression can be rewritten

as (x2 + 10)(x2 − 10) which

equals

(x2 + 10)((x2 + 10) − 20).

B.

x2 − 30 because the areaexpression can be rewritten

as (x2 + 10)(x2 − 10) which

equals

(x2 + 10)((x2 − 30) + 20).

C.

x2 + 30 because the areaexpression can be rewritten

as (x2 − 10)(x2 + 10) which

D.

Algebra II


Question 15.Question 15.Which expression is equivalent to

(6x3 + 3x2 + 8) + (2x2 − 9x+ 10)?

Question 16.Question 16.Enter a number in the boxto complete the sentence. Give youranswer to the nearest half-hour.When lit, a candle loses 5% of itsoriginal height every hour. Jennifer lita candle with an original height of 8inches.

Until the candle has been burning forat least __________ hours, the

height of Jennifer's candle will bemore than 7 inches.

Question 17.Question 17.Amelia has a sales job that pays her abase salary plus a commission foreach sale she makes. The graphbelow shows the relationshipbetween her total monthly incomeand the number of sales she made.

How would the graph differ ifAmelia's employer paid her twice asmuch of a commission for each sale?

equals

(x2 − 10)((x2 + 30) − 20).

8x5 − 6x3 + 18A.

5x4 + 6x3 − 9x+ 18B.

6x3 + 5x2 − 9x+ 18C.

6x3 + x2 + 9x− 2D.

A.

B.

Algebra II


Question 18.Question 18.Which number line correctlyrepresents the solutions of theinequality -1 > 4w?

Question 19.Question 19.What is the greatest solution of x inthe equation x2 + 8x− 30 = 18?Enter your answer in the box.

__________

C.

D.

A.

B.

C.

D.

Algebra II


Question 20.Question 20.A quadratic function g(x) passesthrough the points (-8, 33), (2, 1),and (8, 1).Which statement correctly describesg(x)?

Question 21.Question 21.The graph shows the total number ofparticipants in a town's recreationprogram at the end of every yearsince the year 2000.

The line of best fit for the data isgiven by the equation y = 13x+ 50,where y is the total number ofparticipants x years after thebeginning of the year 2000.

Which statement correctly interpretsthe slope of the line of best fit?

The line x = -5 is an axis ofsymmetry, and the vertex is aminimum because the y-values increase as the graphmoves away from thatfunction.

A.

The line x = -5 is an axis ofsymmetry, and the vertex is amaximum because the y-values increase as the graphmoves away from thatfunction.

B.

The line x = 5 is an axis ofsymmetry, and the vertex is aminimum because the y-values increase as the graphmoves away from thatfunction.

C.

The line x = 5 is an axis ofsymmetry, and the vertex is amaximum because the y-values increase as the graphmoves away from thatfunction.

D.

The rate of change is 1 newparticipant every 13 years.

A.

The rate of change is 13 newparticipants every 13 years.

B.

The rate of change is 13 newparticipants every year.

C.

The rate of change is 50 newparticipants every year.

D.

Algebra II


Question 22.Question 22.Alison is buying notebooks forschool. Small binders cost $3 each,and large binders cost $5 each. IfAlison needs to buy at least 12notebooks and has no more than $45to spend, what is the maximumnumber of large binders she can buy?

Question 23.Question 23.Jonathan plots the graph of theequation y = 0.5x3 + 3x2 − 8.

Which of the following describes acorrect analysis of the graph?

4A.

5B.

8C.

9D.

It is safe to assume the graphis drawn correctly because(5, -5) is not a solution ofthe equation, and it is notpart of the graph.

A.

It is safe to assume the graphis drawn correctly because(0, -8) is a solution of theequation, and it is part of thegraph.

B.

It is safe to assume the entiregraph is drawn incorrectlybecause (-4, 0) is not asolution of the equation, andit is not part of the graph.

C.

It is safe to assume the graphis drawn incorrectly because(2, 4) is not a solution of theequation, and it is part of thegraph.

D.

Algebra II


Question 24.Question 24.The steps used to solve the equation2x+ 8 = 20 for x are shown below.

2x+ 8 = 20

Step I: 2x = 12Step II: x = 6

Which property makes Step I true?

Question 25.Question 25.Guests who rent kayaks at acampground must pay an insurancefee and are charged for each hourthey use the kayak. Last year, thetotal cost for a guest to rent a kayakfor x hours was modeled by theexpression 6 + 8x.

This year, the campground doubledthe cost per hour for renting a kayakbut kept the insurance fee the same.

Which expression models the totalcost for a guest to rent a kayak for xhours at the campground this year?

Question 26.Question 26.For what value of k is the expressionx4 + kx2 + 36 a perfect square?

Division property of equalityA.

Reflexive property of equalityB.

Subtraction property ofequality

C.

Symmetric property ofequality

D.

12 + 8xA.

6 + 16xB.

6 + 4xC.

3 + 8xD.

6A.

12B.

36C.

72D.

Algebra II


Question 27.Question 27.

Which expression represents the areaof the rectangle shown?

Drag and drop the correct answer tothe box below.

DEST_1

Question 28.Question 28.Sylvia researched changes in the deerpopulation in her state's parks duringher lifetime and found thatpopulation has been halved every 8years.She wrote the equation

4800(8)t2 = 600 and plans to solve

for t to determine in how many yearsit will take for the current populationof 4800 deer to reduce to 600.

What change(s) should Sylvia make tothe equation to find the value of t inthe above scenario?

t2 should be replaced with 2tA.

600 and 4800 should beinterchanged

B.

8 should be replaced with 12 ,

and t2 should be replaced

with 8t

C.

8 should be replaced with 12 ,

and t2 should be replaced

with t8

D.

Algebra II


Question 29.Question 29.A bag contains n nickels and qquarters worth a total of $40.Which equation models thisinformation?

Question 30.Question 30.Label each solution graph with thecorrect inequality.

DEST_1 DEST_2

Question 31.Question 31.Consider the equation shown.

-5(x+ 5)2 − r = m

If -5 < 0, and the given equation hasimaginary roots, which of theserelations must be true?

n+ q = 40A.

5n+ 25q = 40B.

0.5n+ 0.25q = 40C.

0.05n+ 0.25q = 40D.

m < 0A.

m > 0B.

m+ r > 0C.

m+ r < 0D.

Algebra II


Question 32.Question 32.The graph of a function g(x) is shown.

On what interval of x-values is thefunction g(x) increasing?

Question 33.Question 33.Laura placed a bucket of water in hergarden. Over the course of a week,she watched the water evaporate andrecorded the volume of water left inthe bucket each day.Laura found the linear model thatbest fit the data was V = 5.00 − 0.25n, where n is the number of days sinceshe first placed the bucket and V isthe volume of water, in liters,remaining in the bucket.

Drag and drop the answers tocomplete the sentence below.

0.250.25 4.754.75 5.005.00

According to the model,approximately DEST_1 liters ofwater evaporated from the bucketevery day, and the bucket containedDEST_2 liters of water when

Laura first placed it in the garden.

(-3, 6)A.

(0, 3)B.

(1, 10)C.

(6, 10)D.

Algebra II


Question 34.Question 34.The organizers of a talent show havebudgeted $1800 to buy souvenirclothing to sell at the event. They canbuy shirts for $10 each and hats for$8 each. They plan to buy at least 5times as many shirts as hats.The organizers used theseinequalities to determine the numberof shirts, s, and hats, h, that can beordered.

10s+ 8h ≤ 1800

h ≥ 5s

What error did the organizers make?

Question 35.Question 35.Which of these points lies on thegraph of the equation x− 12 = y?

Question 36.Question 36.Joey and Nolan are each solving theequation 13x− 42 = 18 − 7x.Joey's first step was to rewrite theequation as 20x− 42 = 18 whileNolan's first step was to rewrite theequation as 13x = 60 − 7x.

Who is correctly applying the additionproperty of equality in the first stepof his work?

The inequalities should havebeen equations.

A.

The second inequality shouldbe h ≤ 5s.

B.

The second inequality shouldbe s ≥ 5h.

C.

The first inequality should bes+ h ≤ 1800.

D.

(4, 8)A.

(3, 15)B.

(-4, -8)C.

(-2, -14)D.

Only JoeyA.

Only NolanB.

Both Joey and NolanC.

Neither Joey nor NolanD.

Algebra II


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Algebra 2 - Summer Assignment...Algebra 2 - Summer Assignment Algebra II Instructions: This is Due the FIRST DAY OF SCHOOL!! (September 5, 2019) Algebra II LinkIt Test - Algebra 2