MO MAP Algebra I Functions Practice

Functions skills

Understand the concept of a function and use function notation

Interpret functions that arise in applications in terms of the context

Analyze functions using different representations

Build a function that models a relationship between two quantities

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

Standards basis

Missouri Learning Standards (Mathematics K-5 and Mathematics 6-12; revised standards approved April 19, 2016) — Missouri

How the MO MAP reports it

Missouri’s MAP math is built from the Missouri Learning Standards and the state’s item specifications, not from a separate national testing framework. The standards are closely CCSS-aligned in structure, with grade-level and course-level domains used as the native reporting/coverage structure.

Blueprint & weighting

Missouri publishes grade-level and EOC blueprints, but the accessible official pages in this pass did not expose the domain-by-domain percentage tables. The assessment page states that item specifications organize expectations by domains/strands and that blueprints are available for grade-level and EOC assessments.

Official sources

Missouri Department of Elementary and Secondary Education — Missouri Learning Standards
Missouri Department of Elementary and Secondary Education — Mathematics
Missouri Department of Elementary and Secondary Education — Assessment

8 free questions · 0/0 correct

Practice playeasy

The function $f$ is defined by $f(x) = x^{2} - 10$ . What is the value of $f(x)$ when $x = 6$ ?

Substitute $x = 6$ : $f(6) = 6^{2} - 10 = 36 - 10 = 26$ .

Practice playeasy

The function $f$ is defined by $f(x) = \sqrt{x + 5}$ . What is the value of $f(x)$ when $x = 11$ ?

Substitute $x = 11$ : $f(11) = \sqrt{11 + 5} = \sqrt{16} = 4$ .

Practice playeasy

For the function $f$ , $f(0) = 160$ . For each increase in $x$ by $1$ , the value of $f(x)$ decreases by $50\%$ . What is the value of $f(3)$ ?

A decrease of $50\%$ multiplies by $0.50$ each step. So $f(3) = 160 \cdot 0.50^3 = 160 \cdot 0.125 = 20$ .

Practice playeasy

$b = 100 - 4h$

The equation shown gives the estimated battery charge $b\textsf{,}$ as a percent, remaining on a laptop after $h$ hours of use, where $0 \le h \le 20\textsf{.}$ What is the estimated battery charge, as a percent, remaining on the laptop after $12$ hours of use?

Substitute $h = 12\textsf{:}$ $b = 100 - 4(12) = 100 - 48 = 52\textsf{.}$ The estimated charge remaining is $52$ percent.

Practice playeasy

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

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

Practice playeasy

A substance has a half-life of $5$ years. What fraction remains after $10$ years?

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

Practice playeasy

For which value of $x$ does the graph of $y = -(x + 8)(x - 2)$ meet the $x$ -axis?

Set $y = 0$ : $-(x + 8)(x - 2) = 0$ . The factor $-1$ is nonzero, so the zeros come from $x + 8 = 0 \Rightarrow x = -8$ and $x - 2 = 0 \Rightarrow x = 2$ . Of the choices, $-8$ is an x-coordinate of an x-intercept.

Practice playmedium

The function $T$ is defined by $T(d) = -4d + 86$ . The function models the outdoor temperature, in degrees Fahrenheit, $d$ days after a cold front arrives. The domain of the function is $0 \le d \le 10$ . Which of the following is the best interpretation of the statement " $T(3)$ is equal to $74$ " in this context?

In this model, $d$ is days after the cold front arrives and $T(d)$ is the temperature in degrees Fahrenheit. So $T(3) = 74$ means that $3$ days after the cold front arrives, the temperature is $74$ degrees Fahrenheit.

MO MAP Algebra I Functions. Practice it free.

Functions skills

Understand the concept of a function and use function notation

Interpret functions that arise in applications in terms of the context

Analyze functions using different representations

Build a function that models a relationship between two quantities

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

Topics mapped to this domain

Evaluating functions

Evaluating functions at a value

Evaluating functions from percent change

Evaluating functions in context

Exponential functions in context (SAT)

Exponential and log formulas

Factored polynomial x-intercepts (SAT)

Interpreting function values in context

Linear functions from tables (ACT/SAT)

Linear rule from a function table (ACT)

Quadratic function word problems (ACT)

Quadratic minimum from vertex form

8 free questions · 0/0 correct

Turn functions into game time.

More Algebra I domains