DC CAPE Grades 6-8 Expressions and Equations. Practice it free.

This domain focuses on writing, manipulating, and solving expressions and equations. This Grades 6-8 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grades 6-8Expressions & Equations8 mapped skills

What the test measures

Expressions and Equations skills

apply and extend previous understandings of arithmetic to algebraic expressions
reason about and solve one-variable equations and inequalities
represent and analyze quantitative relationships between dependent and independent variables

Standards basis

Common Core State Standards (CCSS-M) — District of Columbia

How the DC CAPE reports it

DC CAPE math continues DC’s PARCC-era alignment to the Common Core State Standards and uses the same general development/review approach described by OSSE. The page says DC Math follows the same rigorous development and review process and measures the knowledge and skills that matter most for DC students, while also explicitly tying the assessments to CCSS.

Blueprint & weighting

DC CAPE uses the PARCC-derived / Common Core-based framework (by grade domains structure).

Official sources

OSSE DC CAPE
OSSE DC CAPE page content on CCSS and test specifications

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to $8 + 3z + 2$ ?

The constants $8$ and $2$ are like terms: $8 + 2 = 10$ . The term $3z$ stays the same, so the expression is equivalent to $3z + 10\textsf{.}$

Practice playeasy

Simplify: $-6x - 8 - 2x - 7$ .

Combine: $-6x + -2x = -8x$ , $-8 + -7 = -15$ . Result: $-8x - 15$ .

Practice playeasy

What is $2^{3}\textsf{?}$

$2^{3} = 2 \cdot 2 \cdot 2 = 8\textsf{.}$

Practice playeasy

Write $5 \times 5 \times 5$ using an exponent.

The base $5$ appears $3$ times as a factor, so $5 \times 5 \times 5 = 5^{3}$ .

Practice playeasy

A ride at a fair requires a height of at least $48.0$ inches. A child is $45.5$ inches tall. What is the minimum increase needed in the child's height, in inches, so that the child meets the requirement?