ATLAS Grade 7 Expressions and Equations. Practice it free.

Uses properties of operations to generate equivalent expressions and solves 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 and Equations skills

  1. Use properties of operations to generate equivalent expressions

  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 word problems leading to equations of the form px + q = r and p(x + q) = r

  5. Solve and graph inequalities

  6. Understand that rewriting an expression in different forms can reveal the way quantities are related

Standards basis

Arkansas Academic Standards for Mathematics (CCSS-M–aligned / Arkansas-adopted math standards) — Arkansas

How the ATLAS reports it

Arkansas’s statewide assessment system is ATLAS, which the ADE page says began serving in spring 2024. The official public page does not publish a math blueprint there, so the most defensible coverage map is the Arkansas math standards structure that ATLAS is aligned to.

Blueprint & weighting

ATLAS uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

Solve for kk: 9k=279k = -27.

Isolate kk: k=3k = -3.

Practice playeasy

A library reading room must keep noise at a level of at most 65.065.0 decibels. A meter shows 68.568.5 decibels. What is the minimum decrease needed in the noise level, in decibels, so that the room meets the rule?

The noise level must be at most 65.065.0 decibels. The minimum decrease is 68.565.0=3.5.68.5 - 65.0 = 3.5\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

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

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 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: x+5=3x + 5 = -3.

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

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{.}

Keep practicing

Turn expressions and equations into game time.

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