Georgia Milestones Algebra II Linear, Quadratic, and Exponential Models. Practice it free.

Students construct and compare linear, quadratic, and exponential models and interpret parameters. This Algebra II reporting domain maps to 12 practice skills and 8 representative questions from the playable bank.

Algebra II12 mapped skills
What the test measures

Linear, Quadratic, and Exponential Models skills

  1. Construct and compare linear, quadratic, and exponential models and solve problems

  2. Interpret expressions for functions in terms of the situation they model

Standards basis

Georgia Standards of Excellence (state-adopted content standards) — Georgia

How the Georgia Milestones reports it

Georgia Milestones is Georgia’s own statewide assessment system, aligned to Georgia’s state-adopted content standards rather than a shared national test framework. The official page says it measures knowledge and skills in the state-adopted standards for mathematics across grades 3 through high school ([Georgia Department of Education](https://gadoe.org/assessment-accountability/georgia-milestones/)).

Blueprint & weighting

Not published on the official Georgia Milestones overview page reviewed here.

Practice by skill

Topics mapped to this domain

Evaluating logarithms (ACT)

Grade 1115 questions

Writing exponential equations from context (SAT)

Grade 910 questions

Exponential functions

Grade 1115 questions

Exponential functions in context (SAT)

Grade 911 questions

Exponential and log formulas

Grade 1115 questions

Interpreting exponential parameters

Grade 910 questions

Interpreting linear parameters

Grade 810 questions

Linear coefficient interpretations (SAT/PSAT 8/9/10)

Grade 810 questions

Linear functions from tables (ACT/SAT)

Grade 910 questions

Linear rule from a function table (ACT)

Grade 910 questions

Slope-point line equations (ACT/SAT/PSAT 8/9/10)

Grade 910 questions

Solving exponential equations with logarithms (ACT)

Grade 1110 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

What is the value of log⁡232?\log_{2}32\textsf{?}

25=32,2^{5} = 32\textsf{,} so log⁡232=5.\log_{2}32 = 5\textsf{.}

Practice playmedium

An art contest begins with 320320 entries. In each round, half of the entries still in the contest are cut. Which equation gives the number of entries, kk, still in the contest after round rr?

The contest starts with 320320 entries, and each round multiplies the remaining count by 12\dfrac{1}{2}. After round rr, k=320(12)rk = 320\left(\dfrac{1}{2}\right)^r.

Practice playeasy

An account starts with $500\text{\char36}500 and earns 20%20\% interest compounded yearly.

Choose the function model that correctly calculates the amount in the account after 33 years.

The amount after tt years is A(t)=P(1+r)t.A(t) = P(1 + r)^{t}\textsf{.} Here P=500,P = 500\textsf{,} r=0.20,r = 0.20\textsf{,} and t=3,t = 3\textsf{,} so A(3)=500(1.20)3=864.A(3) = 500(1.20)^{3} = 864\textsf{.}

Practice playeasy

The function LL is defined by L(w)=180(0.88)w/2L(w) = 180(0.88)^{w/2}. The function LL models the light output, in lumens, from a bulb, where ww is the number of weeks the bulb has been in use. According to the model, what is the estimated light output, in lumens, after 22 weeks of use?

When w=2w = 2, the exponent is 2/2=12/2 = 1. So L(2)=180(0.88)1=158.4L(2) = 180(0.88)^1 = 158.4 lumens.

Practice playeasy

A substance has a half-life of 55 years. What fraction remains after 1010 years?

10÷5=210 \div 5 = 2 half-lives. Remaining: (12)2=14\left(\dfrac{1}{2}\right)^{2} = \dfrac{1}{4}.

Practice playeasy

The function ss is defined by s(t)=90(0.60)ts(t) = 90(0.60)^{t}. The function models the number of songs still on a playlist tt weeks after a cleanup begins. Which statement is the best interpretation of the decay factor 0.600.60 in this context?

The decay factor is 0.600.60. Each time tt increases by 11, the number of songs is multiplied by 0.600.60. That means each week 60%60\% of the previous week's songs remain.

Practice playeasy

The given equation represents the number of points ss a team has, where gg represents the number of games won.

s=3gs = 3g

Which of the following is the best interpretation of 33 in this context?

In s=3gs = 3g, the number 33 is the points earned for each game won.

Practice playeasy

A tutoring center charges a one-time registration fee plus a fixed amount for each lesson. Let nn be the number of lessons and CC be the total cost in dollars. The situation is modeled by C=35n+20C = 35n + 20. Which is the best interpretation of the number 2020 in this equation?

When n=0n = 0, C=20C = 20, so 2020 is the registration fee paid before any lessons.

Keep practicing

Turn linear, quadratic, and exponential models into game time.

The Georgia Milestones placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Related Common Core standards
HSF.LE.A.2
Linear, Quadratic, and Exponential Models in other Georgia Milestones grades
Algebra I
The same skills on other tests
DC CAPENJSLAPARCC
Source and test overview
All Georgia Milestones prepOfficial test source
Reporting categories

More Algebra II domains

The Complex Number SystemStudents perform arithmetic operations with complex numbers and use them in polynomial identities and equations.8 QsPractice →Seeing Structure in ExpressionsStudents interpret and rewrite expressions to reveal structure and create equivalent forms.8 QsPractice →Arithmetic with Polynomials and Rational ExpressionsStudents perform arithmetic operations and understand polynomial and rational relationships.8 QsPractice →Creating EquationsStudents create equations and inequalities that model relationships.8 QsPractice →Reasoning with Equations and InequalitiesStudents solve equations and inequalities and analyze systems and algebraic structure.8 QsPractice →Interpreting FunctionsStudents analyze functions and use function notation in context and by representation.8 QsPractice →