STAAR Algebra I Exponential Functions and Equations. Practice it free.

Analyze exponential relationships represented algebraically, graphically, and in context. This Algebra I reporting domain maps to 12 practice skills and 8 representative questions from the playable bank.

Algebra I312 mapped skills
What the test measures

Exponential Functions and Equations skills

  1. write, solve, and graph exponential functions and equations

  2. compare linear, quadratic, and exponential growth

  3. use exponential models for real-world situations

  4. interpret rate of growth and decay

  5. TEKS mathematical process standards applied to Algebra I content

Standards basis

Texas Essential Knowledge and Skills (TEKS) for Mathematics — Texas

How the STAAR reports it

STAAR math is a Texas state assessment built on the Texas Essential Knowledge and Skills (TEKS), not a Common Core framework. Texas publishes explicit STAAR reporting categories by grade/course, with item reporting aligned to TEKS content strands and student expectations.

Blueprint & weighting

TEA’s publicly visible STAAR Mathematics Resources page does not publish item weights in the page content reviewed here. The category structure is explicit, but no percentage blueprint was visible in the sourced materials.

Try it now

8 free questions · 0/0 correct

Practice playmedium

A charity drive starts with 8080 donors. Each day after the first day, a model estimates that the number of donors increases by 25%25\% of the number of donors the previous day. Which equation defines this model, where d(n)d(n) is the estimated number of donors nn days after the drive begins?

The starting number is 8080, and a 25%25\% daily increase means multiplying by 1.251.25 each day, so d(n)=80(1.25)nd(n) = 80(1.25)^n.

Practice playmedium

The function DD is defined by D(t)=1,500(0.6)t/5D(t) = 1{,}500(0.6)^{t/5}. The function DD models the amount of a drug, in micrograms, in a patient's bloodstream, where tt is the number of hours after a dose is given. Which statement best describes what the factor 0.60.6 represents in this model?

Every 55 hours, the exponent increases by 11, so the amount is multiplied by 0.60.6. That means 60%60\% of the previous amount remains after each 55-hour interval.

Practice playeasy

You invest $2000\text{\char36}2000 at 5%5\% annual interest for 11 year. What is the total?

2000×1.05=21002000 \times 1.05 = 2100.

Practice playeasy

The function mm is defined by m(d)=500(0.92)dm(d) = 500(0.92)^{d}. The function models the mass, in grams, of a sample dd days after a reaction begins. Which statement is the best interpretation of the decay factor 0.920.92 in this context?

The decay factor is 0.920.92. Each time dd increases by 11, the mass is multiplied by 0.920.92. That means each day 92%92\% of the previous day's mass remains, so the mass decreases by 8%8\% of the previous day's amount.

Practice playeasy

The given equation represents the number of seats nn filled, where rr represents the number of rows occupied.

n=18rn = 18r

Which of the following is the best interpretation of
1818 in this context?

In n=18rn = 18r, the number 1818 is the number of seats in each occupied row.

Practice playeasy

A school play has a total ticket revenue of $84\text{\char36}84 from adult tickets and child tickets. The situation is modeled by 5a+3c=845a + 3c = 84, where aa is the number of adult tickets sold and cc is the number of child tickets sold. Which is the best interpretation of the number 33 in this equation?

The number of child tickets sold is multiplied by 33 because the tickets cost $3\text{\char36}3 each.

Practice playmedium

Temperature, in ^\circF, after xx hours past noon:
xf(x)262456650844\begin{array}{c|c} x & f(x) \\ \hline 2 & 62 \\ 4 & 56 \\ 6 & 50 \\ 8 & 44 \end{array}
The temperature is
f(x)=mx+68.f(x)=mx+68\textsf{.} What is m?m\textsf{?}

Slope-intercept form is f(x)=mx+b.f(x) = mx + b\textsf{.} The temperature decreases by 33 degrees each hour, so m=3.m = -3\textsf{.}

Practice playmedium

The table shows values of a linear function r.r\textsf{.}
x1234r(x)9513\begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline r(x) & 9 & 5 & 1 & -3 \end{array}
Which of the following is
r(x)?r(x)\textsf{?}

The outputs decrease by 44 each time xx increases by 1,1\textsf{,} so the constant rate is 4.-4\textsf{.} Using the point (1,9)(1, 9) gives 4(1)+b=9,-4(1) + b = 9\textsf{,} so b=13.b = 13\textsf{.} Therefore r(x)=4x+13.r(x) = -4x + 13\textsf{.}

Keep practicing

Turn exponential functions and equations into game time.

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