Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas
KAP Grade 7 Expressions and Equations. Practice it free.
Uses properties of operations to manipulate expressions and solves problems with equations and inequalities. This Grade 7 reporting domain maps to 4 practice skills and 8 representative questions from the playable bank.
What the test measuresStandards basis How the KAP reports it Blueprint & weighting Official sources
Expressions and Equations skills
Use properties of operations to generate equivalent expressions
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers
Solve word problems leading to equations and inequalities
Understand solving equations as a process of reasoning
Analyze proportional relationships and linear equations
Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.
KAP uses the Independent / state-specific framework (by grade domains structure).
Kansas Assessment Program
KAP — About Our Tests (2017 Kansas Mathematics Standards; domains & clusters; reporting categories)
KSDE — Kansas Standards for Mathematics (KCCRS-M standards documents)
Practice by skill
Topics mapped to this domain
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8 free questions · 0/0 correct
A band competition allows an instrument case's length, width, and height to total at most inches. A case measures inches in total. What is the minimum decrease needed in that total, in inches, so that the case meets the rule?
The total must be at most inches. The minimum decrease is
Solve for : .
Isolate : .
A cyclist rode kilometers in hours at a constant speed. What was the cyclist's speed, in kilometers per hour?
Speed = kilometers per hour.
Solve for : .
Cross-multiply: , so .
A library reading room must keep noise at a level of at most decibels. A meter shows 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 decibels. The minimum decrease is
Solve for : .
Isolate : .
A paint mixture uses red and blue paint in a ratio of to . How many ounces of blue paint are needed to mix with ounces of red paint?
Scale the ratio: oz red is groups of , so blue paint = ounces.
Solve for : .
Cross-multiply: . So .
Keep practicing
Turn expressions and equations into game time.
The KAP placement starts with this test's real coverage map and finds the right difficulty.
Source and test overview
Reporting categories
More Grade 7 domains
Ratios and Proportional RelationshipsAnalyzes proportional relationships and solves percent and scale problems.8 QsPractice →The Number SystemExtends operations with rational numbers and applies integer arithmetic fluently.8 QsPractice →GeometryDraws, constructs, and analyzes geometric figures and relationships among them.8 QsPractice →Statistics and ProbabilityUses random sampling, comparative inference, and probability to draw conclusions from data.8 QsPractice →