Ages 11–14🧮 Mathematics149 verified questions on this shelf

Solving Linear Equations

Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients

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Question 1 of 3

Solve for x: 3(2x − 5) − (x/2 + 4) = 7 − (4x − 3).

Question 2 of 3

What is the value of x that satisfies the equation 3x – 7 = 2x + 5 ?

Question 3 of 3

For the quadratic equation 2x² − 5x − 3 = 0, what is the sum of its two solutions?

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What a child can do after this Skill

Solve one-step and two-step linear equations in one variable
Solve equations requiring expansion of brackets and collection of like terms
Solve equations with the unknown on both sides and with fractional or negative coefficients

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
NCERT.Class7.Math.TrianglesAndProperties — Triangles: types, properties, and theorems
ICSE.math.10.Algebra — Algebra
ICSE.Class7.Math.TrianglesAndCongruence — Triangles: properties and congruence
CCSS.Math.Content.6.EE.5 — Solutions of equations and inequalities
KS3.Maths.Alg.7 — Solve Linear Equations
NCERT.Class7.Math.RationalNumbers — Rational numbers: representation, operations
ICSE.math.10.CommercialMathematics — Commercial Mathematics
CBSE.math.10.ALGEBRA — Algebra
CCSS.Math.Content.6.EE.7 — Solve one-step equations
CCSS.Math.Content.8.EE.7 — Solve linear equations in one variable

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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.