NH SAS Grade 7 Expressions and Equations Practice

What the test measures

Expressions and Equations skills

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions
Understand that rewriting an expression in different forms can reveal information
Solve multi-step real-life and mathematical problems using positive and negative rational numbers
Use variables to represent quantities and solve simple equations and inequalities

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.

Official sources

New Hampshire Department of Education – Assessments
Common Core State Standards for Mathematics
CCSS-M Grade 3 (Oregon ODE reprint)

Practice by skill

Topics mapped to this domain

Interpreting at least and at most

Grade 710 questions

Solving one- and two-step linear equations

Grade 7129 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

A diving board may be used only when the pool depth is at least $10.0$ feet. The water is currently $8.4$ feet deep. What is the minimum increase needed in the water depth, in feet, so that the diving board may be used?

The depth must be at least $10.0$ feet. The minimum increase is $10.0 - 8.4 = 1.6\textsf{.}$

Practice playeasy

Solve for $x$ : $x + 5 = -3$ .

Subtract 5 from both sides: $x = -8$ .

Practice playeasy

A phone battery must be charged to at least $80.0\%$ before a software update can begin. The battery is currently at $76.4\%$ . What is the minimum increase needed in the battery charge, in percentage points, so that the update can begin?

The charge must reach at least $80.0\%$ . The minimum increase is $80.0 - 76.4 = 3.6\textsf{.}$

Practice playeasy

Solve for $x$ : $x - 1 = -8$ .

Isolate $x$ : $x = -7$ .

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?

The height must be at least $48.0$ inches. The minimum increase is $48.0 - 45.5 = 2.5\textsf{.}$

Practice playeasy

Solve for $n$ : $9n = 72$ .

Isolate $n$ : $n = 8$ .

Practice playeasy

Airline rules allow a carry-on bag to weigh at most $50.0$ pounds. A bag weighs $52.8$ pounds. What is the minimum decrease needed in the bag's weight, in pounds, so that it meets the rule?