RISE Grade 6 Expressions and Equations. Practice it free.

Apply and extend previous understandings of arithmetic to algebraic expressions and equations. This Grade 6 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grade 66 mapped skills
What the test measures

Expressions and Equations skills

  1. Apply and extend previous understandings of arithmetic to algebraic expressions

  2. Reason about and solve one-variable equations and inequalities

  3. Represent and analyze quantitative relationships between dependent and independent variables

Standards basis

Utah Core Standards for Mathematics (CCSS-aligned Utah math standards) — Utah

How the RISE reports it

Utah’s RISE mathematics assessment is a state assessment aligned to Utah Core Standards rather than a separately branded national framework. The official Utah pages point to Utah Core standards resources and the RISE administration guidance, with no separate public math blueprint published on the assessment page itself.

Blueprint & weighting

RISE mathematics weighting by domain was not located on the official Utah assessment page; the official page only points to the RISE assessment overview/administration resources and the Utah Core Standards resources. Grade 6 administration guidance notes a two-segment math test with Segment 1 no calculator and Segment 2 calculator allowed, and the proctor guide states Mathematics has an expected testing time of 90 minutes for most students and 135 minutes for all students.

Practice by skill

Topics mapped to this domain

Combining like terms

Grade 610 questions

Combining like terms and distributing

Grade 668 questions

Evaluating powers

Grade 636 questions

Write products as powers

Grade 624 questions

Order of operations

Grade 6119 questions

Perfect squares and cubes

Grade 660 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 8+3z+28 + 3z + 2?

The constants 88 and 22 are like terms: 8+2=108 + 2 = 10. The term 3z3z stays the same, so the expression is equivalent to 3z+10.3z + 10\textsf{.}

Practice playeasy

Simplify: −6x−8−2x−7-6x - 8 - 2x - 7.

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

Practice playeasy

What is 23?2^{3}\textsf{?}

23=2⋅2⋅2=8.2^{3} = 2 \cdot 2 \cdot 2 = 8\textsf{.}

Practice playeasy

Write 5×5×55 \times 5 \times 5 using an exponent.

The base 55 appears 33 times as a factor, so 5×5×5=535 \times 5 \times 5 = 5^{3}.

Practice playeasy

Evaluate: 2+7⋅9−22 + 7 \cdot 9 - 2.

Multiply first: 7⋅9=637 \cdot 9 = 63. Then 2+63−2=632 + 63 - 2 = 63.

Practice playeasy

Compute 131^3.

 13=1⋅1⋅1=1\,1^3 = 1 \cdot 1 \cdot 1 = 1.

Practice playeasy

Which expression is equivalent to 7+m2+27 + m^{2} + 2?

The constants 77 and 22 are like terms: 7+2=97 + 2 = 9. The term m2m^{2} stays the same, so the expression is equivalent to m2+9.m^{2} + 9\textsf{.}

Practice playeasy

Simplify: 2(4x−3)2(4x - 3).

Distribute 2: 2⋅4x+2⋅−3=8x−62 \cdot 4x + 2 \cdot -3 = 8x - 6.

Keep practicing

Turn expressions and equations into game time.

The RISE placement starts with this test's real coverage map and finds the right difficulty.

Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Blossom Leap game coverBlossom LeapPlay →Bullseye Blitz game coverBullseye BlitzPlay →
Related Common Core standards
6.EE.A.1
Expressions and Equations in other RISE grades
Grade 7Grade 8
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All RISE prepOfficial test source
Reporting categories

More Grade 6 domains

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