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Mathematics — First Preparatory
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Curriculum
Mathematics — First Preparatory
Unit 1: Numbers
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Ratio and Proportion
Text lesson
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Ratio and Proportion — Lesson quiz
5 questions
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Applications of Ratio and Proportion
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Applications of Ratio and Proportion — Lesson quiz
5 questions
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Sets and Operations on Sets
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Sets and Operations on Sets — Lesson quiz
5 questions
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Operations on Integers
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Operations on Integers — Lesson quiz
5 questions
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Operations on Rational Numbers
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Operations on Rational Numbers — Lesson quiz
5 questions
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Unit 2: Algebra
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Algebraic Expressions and Formulas
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Algebraic expressions and terms
Like terms and simplifying
Substitution in expressions and formulas
Worked examples
Common mistakes
Lesson summary
Algebraic Expressions and Formulas — Lesson quiz
5 questions
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Linear Equations
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Linear Equations — Lesson quiz
5 questions
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Unit 3: Statistics
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Organizing Data
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Organizing Data — Lesson quiz
5 questions
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The Arithmetic Mean
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The Arithmetic Mean — Lesson quiz
5 questions
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Pie Charts
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Pie Charts — Lesson quiz
5 questions
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Unit 4: Geometry
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Types of Angles and Their Relations
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Types of Angles and Their Relations — Lesson quiz
5 questions
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Quadrilaterals
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Quadrilaterals — Lesson quiz
5 questions
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Polygons
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Polygons — Lesson quiz
5 questions
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Text lesson
Algebraic Expressions and Formulas
Mathematics — First Preparatory
Algebraic Expressions and Formulas
Explanation
Practice
Like terms and simplifying
Like terms and simplifying
Like terms have the same variables with the same powers.
They may have different coefficients.
The terms 4x and 7x are like terms, but 4x and 4x² are not.
To simplify an expression, we add the coefficients of like terms only. For example, 3x + 5x = 8x, and 4x² − x² = 3x².
Removing brackets
If a bracket is preceded by a plus sign, we keep the signs inside it.
If it is preceded by a minus sign, we change the sign of every term inside it.
If a number stands in front of the bracket, we multiply every term inside by that number:
a − (b − c) = a − b + c
2(3x − 4) = 6x − 8
−(2m − n) = −2m + n
Algebraic Expressions and Formulas · 2 / 6
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