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

Students interpret and construct linear, quadratic, and exponential models and solve problems with them. This Algebra I reporting domain maps to 10 practice skills and 8 representative questions from the playable bank.

Algebra I10 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.

Try it now

8 free questions · 0/0 correct

Practice playmedium

A lab culture starts with 2,0002{,}000 cells. Each hour, a model estimates that the number of cells triples. Which equation defines this model, where c(h)c(h) is the estimated number of cells hh hours after the culture begins?

The starting count is 2,0002{,}000, and tripling each hour means multiplying by 33, so c(h)=2,000(3)hc(h) = 2{,}000(3)^h.

Practice playeasy

The function gg is defined by g(t)=840(0.5)t/4g(t) = 840(0.5)^{t/4}. The function gg models the mass, in milligrams, of a medicine in a patient's bloodstream, where tt is the number of hours after an injection. According to the model, what is the estimated mass, in milligrams, of the medicine at the time of the injection?

At the time of injection, t=0t = 0. So g(0)=840(0.5)0=840g(0) = 840(0.5)^0 = 840 milligrams.

Practice playeasy

You invest $100\text{\char36}100 at 10%10\% annual interest compounded yearly for 22 years. What is the total?

Year 1: 100×1.10=110100 \times 1.10 = 110. Year 2: 110×1.10=121110 \times 1.10 = 121.

Practice playeasy

The function pp is defined by p(w)=1,250(1.04)wp(w) = 1{,}250(1.04)^{w}. The function models a savings balance, in dollars, ww weeks after an account is opened. Which statement is the best interpretation of 1,2501{,}250 in this context?

When w=0w = 0, p(0)=1,250p(0) = 1{,}250. So $1,250\text{\char36}1{,}250 is the balance when the account is opened.

Practice playeasy

A plant's height HH, in centimeters, after ww weeks of growth is modeled by H=1.8w+12H = 1.8w + 12. Which of the following is the best interpretation of 1.81.8 in this context?

In H=1.8w+12H = 1.8w + 12, the 1.81.8 multiplies weeks, so the plant grows 1.81.8 centimeters each week.

Practice playeasy

A plumber charges a flat fee for a service visit plus a fixed amount per hour of work. Let hh be the number of hours worked and CC be the total charge in dollars. The situation is modeled by C=65h+40C = 65h + 40. Which is the best interpretation of the number 6565 in this equation?

The coefficient of hh is the hourly rate, so 6565 is the charge in dollars for each hour of work.

Practice playeasy

Tutoring cost, in dollars, for xx lessons:
x0123f(x)406590115\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline f(x) & 40 & 65 & 90 & 115 \end{array}
The cost is
f(x)=25x+b.f(x)=25x+b\textsf{.} What is b?b\textsf{?}

Slope-intercept form is f(x)=mx+b.f(x) = mx + b\textsf{.} When x=0x = 0, the cost is f(0)=40f(0) = 40, so b=40.b = 40\textsf{.}

Practice playeasy

The table shows values of a linear function g.g\textsf{.}
xg(x)0151122936\begin{array}{c|c} x & g(x) \\ \hline 0 & 15 \\ 1 & 12 \\ 2 & 9 \\ 3 & 6 \end{array}
Which of the following is
g(x)?g(x)\textsf{?}

The outputs decrease by 33 each time xx increases by 1,1\textsf{,} so the constant rate is 3.-3\textsf{.} When x=0,x = 0\textsf{,} g(0)=15,g(0) = 15\textsf{,} so g(x)=3x+15.g(x) = -3x + 15\textsf{.}

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.