Forward Grade 7 Expressions & Equations. Practice it free.

Uses properties of operations to generate equivalent expressions and solves problems using equations and inequalities. This Grade 7 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 72 mapped skills
What the test measures

Expressions & Equations skills

  1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients

  2. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form

  3. Use variables to represent quantities in a real-world or mathematical problem

  4. Solve problems by writing and solving equations and inequalities

  5. Understand and apply the distributive property

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Try it now

8 free questions · 0/0 correct

Practice playeasy

In a school zone, a car must travel at a speed of at most 35.035.0 miles per hour. A car is traveling at 38.238.2 miles per hour. What is the minimum decrease needed in the car's speed, in miles per hour, so that it meets the speed limit?

The speed must be at most 35.035.0 miles per hour. The minimum decrease is 38.235.0=3.2.38.2 - 35.0 = 3.2\textsf{.}

Practice playeasy

What value of nn satisfies 5n8=175n - 8 = 17?

Add 88 to both sides: 5n=255n = 25. Divide both sides by 55: n=5n = 5.

Practice playeasy

A shipping company accepts a package only if its mass is at least 2.502.50 kilograms. A package has a mass of 2.152.15 kilograms. What is the minimum increase needed in the package's mass, in kilograms, so that it can be accepted?

The mass must be at least 2.502.50 kilograms. The minimum increase is 2.502.15=0.35.2.50 - 2.15 = 0.35\textsf{.}

Practice playeasy

Solve for xx: 6x1=176x - 1 = 17.

Subtract 1-1 from both sides: 6x=186x = 18. Divide by 66: x=3x = 3.

Practice playeasy

A diving board may be used only when the pool depth is at least 10.010.0 feet. The water is currently 8.48.4 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 10.010.0 feet. The minimum increase is 10.08.4=1.6.10.0 - 8.4 = 1.6\textsf{.}

Practice playeasy

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

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

Practice playeasy

A phone battery must be charged to at least 80.0%80.0\% before a software update can begin. The battery is currently at 76.4%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%80.0\%. The minimum increase is 80.076.4=3.6.80.0 - 76.4 = 3.6\textsf{.}

Practice playeasy

Solve for xx: x1=8x - 1 = -8.

Isolate xx: x=7x = -7.

Keep practicing

Turn expressions & equations into game time.

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