CMAS Grades 6-8 Expressions & Equations Practice

What the test measures

Expressions & 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

Colorado Academic Standards (mathematics) — Colorado

How the CMAS reports it

CMAS is Colorado’s statewide summative assessment system aligned to the Colorado Academic Standards rather than a national framework like SBAC or NAEP. The official CMAS page and Colorado standards materials indicate the math assessment is built from Colorado Academic Standards, but the retrieved official CMAS page did not expose a separate math blueprint document.

Blueprint & weighting

No official CMAS math domain weighting/percent-of-items blueprint was available in the retrieved primary CMAS materials.

Official sources

Colorado Department of Education CMAS page
Colorado Department of Education Colorado Academic Standards and Essential Skills page

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playmedium

A car dealership's lot held four types of vehicles. Exactly $\dfrac{1}{3}$ of the vehicles were sedans, exactly $\dfrac{1}{4}$ were SUVs, $45$ vehicles were compacts, and $35$ vehicles were trucks. How many vehicles were on the lot?

Let $x$ be the total number of vehicles. Sedans and SUVs account for $\dfrac{1}{3}x + \dfrac{1}{4}x = \dfrac{7}{12}x$ . Compacts and trucks total $45 + 35 = 80$ , so $\dfrac{5}{12}x = 80$ and $x = 192$ .

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

What is the $y$ -intercept of the line $y = \dfrac{3}{4}x - 7$ ?

In $y = mx + b$ , the $y$ -intercept is $b = -7$ .

Practice playeasy

Which system below has no solution?

Both equations have slope $-1$ but different $y$ -intercepts ( $6$ and $-2$ ), so the lines are parallel and the system has no solution.

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?