PARCC Algebra I Linear and Exponential Relationships Practice

Linear and Exponential Relationships skills

Interpret the structure of expressions

Use linear and exponential functions to model real-world situations

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

Which is the completely factored form of $9x^{2} - 6x$ ?

The greatest common factor of $9x^{2}$ and $6x$ is $3x\textsf{.}$ Factoring gives $3x(3x - 2)$ .

Practice playeasy

Which expression is equivalent to $4x^{2} - 81$ ?

$4x^{2} - 81 = (2x)^{2} - 9^{2} = (2x - 9)(2x + 9)$ .

Practice playeasy

Which expression is equivalent to $\dfrac{50x}{h} + 50x$ , where $h > 0$ ?

Write $50x$ with denominator $h$ : $\dfrac{50x}{h} + \dfrac{50xh}{h} = \dfrac{50x + 50xh}{h} = \dfrac{50x(h + 1)}{h}$ .

Practice playeasy

What is the value of $\log_{10}1{,}000\textsf{?}$

$10^{3} = 1{,}000\textsf{,}$ so $\log_{10}1{,}000 = 3\textsf{.}$

Practice playmedium

A warehouse begins a clearance week with $640$ boxes. Each week, half of the boxes still in the warehouse are shipped out. Which equation gives the number of boxes, $b$ , still in the warehouse after $w$ weeks?

The warehouse starts with $640$ boxes, and each week the remaining amount is multiplied by $\dfrac{1}{2}$ . After $w$ weeks, $b = 640\left(\dfrac{1}{2}\right)^w$ .

Practice playeasy

An $80$ -milligram sample of a radioactive isotope has a half-life of $5$ years.

Choose the function model that correctly calculates the amount remaining after $10$ years.

The remaining amount after $t$ years is $A(t) = 80\left(\dfrac{1}{2}\right)^{\textstyle\frac{t}{h}}\textsf{,}$ where $h$ is the half-life. Here $t = 10$ and $h = 5\textsf{,}$ so $A(10) = 80\left(\dfrac{1}{2}\right)^{\textstyle\frac{10}{5}} = 80\left(\dfrac{1}{2}\right)^{2} = 20\textsf{.}$

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?

$400 \times 1.25 = 500$ .

PARCC Algebra I Linear and Exponential Relationships. Practice it free.

Linear and Exponential Relationships skills

Interpret the structure of expressions

Use linear and exponential functions to model real-world situations

Topics mapped to this domain

Common factor factoring (SAT)

Difference of squares factoring

Equivalent rational expressions (SAT)

Evaluating logarithms (ACT)

Writing exponential equations from context (SAT)

Exponential functions

Exponential functions in context (SAT)

Exponential and log formulas

Factoring patterns

Factoring quadratics

Interpreting exponential parameters

Interpreting linear parameters

8 free questions · 0/0 correct

Turn linear and exponential relationships into game time.

More Algebra I domains