STAAR Grade 8 Computations and Algebraic Relationships Practice

Computations and Algebraic Relationships skills

perform operations with rational numbers

solve linear equations and inequalities

analyze functions and relationships from tables, graphs, and equations

use algebraic methods to represent and solve problems

TEKS mathematical process standards applied to grade 8 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.

Official sources

Texas Education Agency – STAAR Mathematics Resources
Texas Education Agency – STAAR Interim Assessments
Texas Education Agency – Texas Administrative Code, Title 19, Part 2

8 free questions · 0/0 correct

Practice playeasy

What is the slope of the line $y = \dfrac{3}{2}x + 2$ ?

In $y = mx + b$ , the slope is $m = \dfrac{3}{2}$ .

Practice playmedium

Consider the linear function $t$ given by $t(x) = nx + 150$ , where $n$ is a constant. Knowing that $t(10) = 80$ , determine $t(20)$ .

Substitute $x = 10$ : $10n + 150 = 80$ , so $10n = -70$ and $n = -7$ . The rule is $t(x) = -7x + 150$ , so $t(20) = -7(20) + 150 = -140 + 150 = 10$ .

Practice playeasy

An amusement park charges $\text{\char36}12$ for admission and $\text{\char36}3$ for each ride. Let $x$ be the number of rides and $y$ be the total cost in dollars. Which equation models the situation?

Admission is the starting cost ( $\text{\char36}12$ ) and each ride adds $\text{\char36}3$ , so $y = 3x + 12\textsf{.}$

Practice playeasy

What is the slope of the line through $(1, 2)$ and $(3, 8)$ ?

Slope $= \dfrac{8 - 2}{3 - 1} = \dfrac{6}{2} = 3\textsf{.}$

Practice playeasy

A shipping company accepts a package only if its mass is at least $2.50$ kilograms. A package has a mass of $2.15$ kilograms. What is the minimum increase needed in the package's mass, in kilograms, so that it can be accepted?

The mass must be at least $2.50$ kilograms. The minimum increase is $2.50 - 2.15 = 0.35\textsf{.}$

Practice playeasy

Solve for $x$ : $6x - 1 = 17$ .

Subtract $-1$ from both sides: $6x = 18$ . Divide by $6$ : $x = 3$ .

Practice playeasy

Which of the following systems of linear equations has no solution?

Both equations have slope $2$ but different $y$ -intercepts ( $3$ and $-1$ ), so the lines are parallel and the system has no solution.

Practice playeasy

$\begin{cases} x + y = 5 \\ 3x - y = 3 \end{cases}$

How many solutions does the given system of equations have?

Rewrite in slope-intercept form: $y = -x + 5$ and $y = 3x - 3$ . The slopes $-1$ and $3$ are different, so the lines intersect at exactly one point.

STAAR Grade 8 Computations and Algebraic Relationships. Practice it free.

Computations and Algebraic Relationships skills

perform operations with rational numbers

solve linear equations and inequalities

analyze functions and relationships from tables, graphs, and equations

use algebraic methods to represent and solve problems

TEKS mathematical process standards applied to grade 8 content

Topics mapped to this domain

Graphing linear equations

Linear functions with an unknown constant

Modeling linear situations (ACT/SAT/PSAT 8/9/10)

Slope formula

Interpreting at least and at most

Solving one- and two-step linear equations

Inconsistent linear systems (ACT/SAT/PSAT 8/9/10)

Linear Algebra Basics: Systems

Multi-step linear equations

Solve linear equation for x (ACT)

8 free questions · 0/0 correct

Turn computations and algebraic relationships into game time.

More Grade 8 domains