OSTP Grades 6-8 Expressions and Equations Practice

What the test measures

Expressions and Equations skills

evaluate algebraic expressions
solve one- and two-step equations
solve real-world problems with equations
analyze relationships using tables and graphs

Standards basis

2022 Oklahoma Academic Standards for Mathematics (OAS-M) — Oklahoma

How the OSTP reports it

Oklahoma’s OSTP math is built on the 2022 Oklahoma Academic Standards for Mathematics rather than a national shared blueprint. The state math standards page notes that Statistics & Probability and Precalculus were added in the 2022 revision, and Precalculus includes a Trigonometry strand.

Blueprint & weighting

OSTP uses the Independent / state-specific framework (by grade domains structure).

Official sources

Oklahoma State Department of Education – State Testing Resources
Oklahoma State Department of Education – Mathematics
2022 Oklahoma Academic Standards for Mathematics (OAS-M, February 2022) — four content strands (Number & Operations, Algebraic Reasoning & Algebra, Geometry & Measurement, Data & Probability) for PK-7 + Pre-Algebra, plus Algebra I / Geometry / Algebra II / Precalculus / Statistics & Probability course standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A library reading room must keep noise at a level of at most $65.0$ decibels. A meter shows $68.5$ decibels. What is the minimum decrease needed in the noise level, in decibels, so that the room meets the rule?

The noise level must be at most $65.0$ decibels. The minimum decrease is $68.5 - 65.0 = 3.5\textsf{.}$

Practice playeasy

Solve for $k$ : $9k = -27$ .

Isolate $k$ : $k = -3$ .

Practice playeasy

What is the slope of the line $y = \dfrac{1}{2}x - 1$ ?

In $y = mx + b$ , the slope is $m = \dfrac{1}{2}$ .

Practice playmedium

In the rule $g(x) = 8x + c$ , the value of $c$ is a constant. Given that $g(3) = 10$ , find $g(5)$ .

Substitute $x = 3$ : $8(3) + c = 10$ , so $24 + c = 10$ and $c = -14$ . The rule is $g(x) = 8x - 14$ , so $g(5) = 8(5) - 14 = 40 - 14 = 26$ .

Practice playeasy

A print shop already has $64$ posters ready for an event and prints an average of $3.5$ more posters each hour. Let $x$ be the number of hours of printing and $y$ be the total number of posters ready. Which equation models the situation?

The shop starts with $64$ posters (intercept) and adds $3.5$ posters each hour (slope), so $y = 3.5x + 64\textsf{.}$

Practice playeasy

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

Slope $= \dfrac{1 - (-1)}{2 - (-2)} = \dfrac{2}{4} = \dfrac{1}{2}\textsf{.}$

Practice playeasy

In a school zone, a car must travel at a speed of at most $35.0$ miles per hour. A car is traveling at $38.2$ miles per hour. What is the minimum decrease needed in the car's speed, in miles per hour, so that it meets the speed limit?