LEAP 2025 Algebra I Modeling & Application Practice

Modeling & Application skills

Multi-step contextual problems across 7.RP, 7.NS, 7.EE, 8.EE, and Algebra I content

Constructing and applying linear and exponential function models

Micro-models and reasoned estimates

Applications involving equations, inequalities, function interpretation, and data

Standards basis

K-12 Louisiana Student Standards for Mathematics (Louisiana Student Standards for Mathematics / LSSM) — Louisiana

How the LEAP 2025 reports it

LEAP 2025 is Louisiana’s state assessment system. Its math tests are aligned to the K-12 Louisiana Student Standards for Mathematics, which are CCSS-derived but state-specific in wording, structure, and evidence statements.

Blueprint & weighting

Published guidance shows that Grades 3-8 use three reporting categories with grade-specific point distributions; Grade 5 has 27 points Major Content, 9 points Additional & Supporting, and 16 points Mathematical Reasoning & Modeling. Algebra I is 28 points Major Content, 14 points Additional & Supporting, 11 points Expressing Mathematical Reasoning, and 15 points Modeling & Application. Geometry is 26 points Major Content, 16 points Additional & Supporting, 11 points Expressing Mathematical Reasoning, and 15 points Modeling & Application.

Official sources

Louisiana Department of Education assessment guidance
LEAP 2025 Assessment Guide for Grade 5 Mathematics
LEAP 2025 Assessment Guide for Algebra I

8 free questions · 0/0 correct

Practice playmedium

$\begin{cases} 2x - y \ge 4 \\ x + y \le 7 \end{cases}$
The point $(x, y)$ is a solution to the system of inequalities in the coordinate plane. If $y = 2$ , which of the following could be a value of $x$ ?

Substitute $y = 2$ . From $2x - y \ge 4$ , $2x - 2 \ge 4$ , so $x \ge 3$ . From $x + y \le 7$ , $x \le 5$ . The value $x = 4$ satisfies $3 \le 4 \le 5$ .

Practice playmedium

Jordan earns $\text{\char36}32{,}500$ in her first year as a nurse. She gets the same dollar raise every year and earns $\text{\char36}36{,}400$ in her third year. What is the total of Jordan's earnings during her three years on the job?

Subtract the third-year salary from the first: $\text{\char36}36{,}400 - \text{\char36}32{,}500 = \text{\char36}3{,}900$ . Over three years there are two equal raises, so divide by $3 - 1 = 2$ to get $x = \text{\char36}1{,}950$ . Add $\text{\char36}1{,}950$ each year after the first: $\text{\char36}32{,}500$ , $\text{\char36}34{,}450$ , $\text{\char36}36{,}400$ . Sum all three years: $\text{\char36}103{,}350$ .

Practice playeasy

The function $I$ is defined by $I(t) = 275(1.04)^t$ . The function $I$ models the balance, in thousands of dollars, of an investment account, where $t$ is the number of months after the account was opened. According to the model, what is the estimated balance, in thousands of dollars, of the account $1$ month after it was opened?

When $t = 1$ , $I(1) = 275(1.04)^1 = 275 \cdot 1.04 = 286$ thousand dollars.

Practice playeasy

You invest $\text{\char36}400$ at $25\%$ annual interest for $1$ year. What is the total?

$400 \times 1.25 = 500$ .

Practice playmedium

Candle height, in cm, after $x$ hours:
$\begin{array}{c|c} x & f(x) \\ \hline 0 & 20 \\ 1 & 18 \\ 2 & 16 \\ 3 & 14 \end{array}$
The height is $f(x)=mx+20\textsf{.}$ What is $m\textsf{?}$

Slope-intercept form is $f(x) = mx + b\textsf{.}$ The height decreases by $2$ centimeters each hour, so $m = -2\textsf{.}$

Practice playmedium

The table shows values of a linear function $h\textsf{.}$
$\begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline h(x) & 7 & 10 & 13 & 16 \end{array}$
Which of the following is $h(x)\textsf{?}$

The outputs increase by $3$ each time $x$ increases by $1\textsf{,}$ so the constant rate is $3\textsf{.}$ Using the point $(1, 7)$ gives $3(1) + b = 7\textsf{,}$ so $b = 4\textsf{.}$ Therefore $h(x) = 3x + 4\textsf{.}$

Practice playeasy

A line has slope $4$ and passes through the point $(-1, 2)$ . Which equation represents this line in point-slope form?

Point-slope form is $y - y_1 = m(x - x_1)$ . With $m = 4$ and $(x_1, y_1) = (-1, 2)$ , the equation is $y - 2 = 4(x - (-1))$ , or $y - 2 = 4(x + 1)\textsf{.}$

Practice playeasy

A shipping label allows a package weight $w$ , in pounds, that is more than $2$ pounds but at most $10$ pounds. Which inequality represents the possible values of $w$ ?

More than $2$ means $w > 2$ . At most $10$ means $w \le 10$ , so $2 < w \le 10$ .

LEAP 2025 Algebra I Modeling & Application. Practice it free.

Modeling & Application skills

Multi-step contextual problems across 7.RP, 7.NS, 7.EE, 8.EE, and Algebra I content

Constructing and applying linear and exponential function models

Micro-models and reasoned estimates

Applications involving equations, inequalities, function interpretation, and data

Topics mapped to this domain

Linear inequality system solutions

Linear raise total earnings

Exponential functions in context (SAT)

Exponential and log formulas

Linear functions from tables (ACT/SAT)

Linear rule from a function table (ACT)

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

Compound inequality situations

Linear equation forms

Linear equation from two points (SAT)

Linear inequality situations (ACT/SAT/PSAT 8/9/10)

Linear system word problems (ACT/SAT)

8 free questions · 0/0 correct

Turn modeling & application into game time.

More Algebra I domains