PARCC Algebra I Interpreting Functions Practice

Interpreting 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

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / PARCC Model Content Frameworks — national

How the PARCC reports it

PARCC was a multistate assessment system built around the Common Core-era PARCC mathematics model content frameworks rather than a separate proprietary standards set. Its math structure is organized by grade/course and aligned to CCSS-M content categories and model content frameworks.

Blueprint & weighting

No single published PARCC weighting table was located in the accessible sources used here.

Official sources

PARCC Assessment
Common Core State Standards Initiative

8 free questions · 0/0 correct

Practice playeasy

The function $f$ is defined by $f(x) = 7x - 4$ . What is the value of $f(x)$ when $x = 3$ ?

Substitute $x = 3$ : $f(3) = 7(3) - 4 = 21 - 4 = 17$ .

Practice playeasy

The function $f$ is defined by $f(x) = \sqrt{2x + 1}$ . What is the value of $f(x)$ when $x = 4$ ?

Substitute $x = 4$ : $f(4) = \sqrt{2(4) + 1} = \sqrt{9} = 3$ .

Practice playeasy

For the function $p$ , $p(0) = 200$ . For each increase in $x$ by $1$ , the value of $p(x)$ decreases by $10\%$ . What is the value of $p(2)$ ?

Each step multiplies by $0.90$ . So $p(2) = 200 \cdot 0.90^2 = 200 \cdot 0.81 = 162$ .

Practice playeasy

$g = 9 - \dfrac{m}{4}$

The equation shown gives the estimated amount of paint $g\textsf{,}$ in gallons, remaining after covering $m$ square meters of wall, where $0 \le m \le 36\textsf{.}$ What is the estimated amount of paint, in gallons, remaining after covering $12$ square meters of wall?

Substitute $m = 12\textsf{:}$ $g = 9 - \dfrac{12}{4} = 9 - 3 = 6\textsf{.}$ The estimated amount remaining is $6$ gallons.

Practice playmedium

At what $x$ -value does the graph of $y = 3(x - 5)^2(x + 8)$ intercept the $x$ -axis?

Set $y = 0$ : $3(x - 5)^2(x + 8) = 0$ . The constant $3 \neq 0$ , so the zeros are $x = 5$ (from the repeated factor) and $x = -8$ . Among the choices, only $5$ is an x-coordinate of an x-intercept.

Practice playeasy

The equation of a line is $4x - 6y = -60\textsf{.}$ What is the $y$ -intercept of the line?

The $y$ -intercept is the value of $y$ when $x = 0\textsf{.}$ Substituting gives $-6y = -60\textsf{,}$ so $y = 10\textsf{.}$

Practice playmedium

The function $h$ is defined by $h(t) = -16t^{2} + 64t + 5$ . The function models the height, in feet, of a baseball $t$ seconds after it is hit. Which of the following is the best interpretation of the statement " $h(2)$ is equal to $69$ " in this context?

In this model, $t$ is seconds after the ball is hit and $h(t)$ is height in feet. So $h(2) = 69$ means that $2$ seconds after the ball is hit, its height is $69$ feet.

Practice playeasy

The equation of a line is $y + 1 = -\dfrac{1}{2}(x + 5)\textsf{.}$ What is the slope of the line?

Point-slope form is $y - y_1 = m(x - x_1)\textsf{.}$ The slope is the coefficient of $(x - x_1)\textsf{,}$ so $m = -\dfrac{1}{2}\textsf{.}$

PARCC Algebra I Interpreting Functions. Practice it free.

Interpreting 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

Topics mapped to this domain

Evaluating functions

Evaluating functions at a value

Evaluating functions from percent change

Evaluating functions in context

Factored polynomial x-intercepts (SAT)

Intercepts from general form

Interpreting function values in context

Slope and point from point-slope form

Quadratic function word problems (ACT)

Quadratic minimum from vertex form

Quadratic minimum x-value

Recursive sequence nth term (ACT)

8 free questions · 0/0 correct

Turn interpreting functions into game time.

More Algebra I domains