Ages 11–14🧮 Mathematics35 verified questions on this shelf

Numbers on a number line

Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations

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Question 1 of 3

A school orders notebooks and pens for a classroom. Each notebook costs $3 and each pen costs $2. The school spends a total of $90 and orders 10 more notebooks than pens. How many pens did the school order?

Question 2 of 3

Which of the following numbers cannot be written as a fraction of two integers?

Question 3 of 3

A community center is buying chairs for a new room. Each chair costs $45. The center has a budget of at most $1,800 for chairs. If c represents the number of chairs purchased, which inequality correctly models the situation?

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What a child can do after this Skill

Write an inequality from a worded constraint (e.g., 'must be at least 12' → x ≥ 12)
Represent the solution set of an inequality on a number line with open or closed circles
Solve a one-step or two-step inequality such as 3x + 1 < 10

Curriculum standards this Skill teaches

CCSS.Math.Content.7.EE.4 — Use variables to solve real-world problems
NCERT.Class7.Math.AlgebraicExpressions — Algebraic expressions: terms, factors, like terms
CBSE.math.9.NumberSystem — Number System
CCSS.Math.Content.6.EE.8 — Write and graph inequalities
NCERT.Class7.Math.TrianglesAndProperties — Triangles: types, properties, and theorems
ICSE.Class7.Math.TrianglesAndCongruence — Triangles: properties and congruence
KS3.Maths.Alg.7 — Solve Linear Equations
NCERT.Class7.Math.RationalNumbers — Rational numbers: representation, operations
ICSE.Class7.Math.SimpleEquations — Simple linear equations in one variable
ICSE.Class7.Math.RationalNumbers — Rational numbers: representation and operations
NCERT.Class7.Math.Integers — Integers: operations on positive and negative numbers

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.