NH SAS Grade 6 Expressions and Equations. Practice it free.

Uses variables, expressions, and equations to represent and solve problems. 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

  4. Identify equivalent expressions and properties of operations

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Try it now

8 free questions · 0/0 correct

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(4x3)2(4x - 3).

Distribute 2: 24x+23=8x62 \cdot 4x + 2 \cdot -3 = 8x - 6.

Practice playeasy

What is 32?3^{2}\textsf{?}

32=33=9.3^{2} = 3 \cdot 3 = 9\textsf{.}

Practice playeasy

Write 7×7×7×7×77 \times 7 \times 7 \times 7 \times 7 using an exponent.

The base 77 appears 55 times as a factor, so 7×7×7×7×7=757 \times 7 \times 7 \times 7 \times 7 = 7^{5}.

Practice playeasy

Evaluate: 9+3449 + 3 \cdot 4 - 4.

Multiply first: 34=123 \cdot 4 = 12. Then 9+124=179 + 12 - 4 = 17.

Practice playeasy

Compute 323^2.

32=33=9\,3^2 = 3 \cdot 3 = 9.

Practice playeasy

Which expression is equivalent to 3+w+83 + w + 8?

The constants 33 and 88 are like terms: 3+8=113 + 8 = 11. The term ww stays the same, so the expression is equivalent to w+11.w + 11\textsf{.}

Practice playeasy

Simplify: 3x10+5x+2-3x - 10 + 5x + 2.

Combine: 3x+5x=2x-3x + 5x = 2x, 10+2=8-10 + 2 = -8. Result: 2x82x - 8.

Keep practicing

Turn expressions and equations into game time.

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