The Basics (Junior Cert Mathematics): Flashcards

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Multiplying Expressions
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Coefficient in 3x3x

33

Variable definition

Letter representing an unknown number

What does x2x^2 mean?

xx multiplied by itself

Rule: multiplying coefficients

Multiply the numbers in front of the variables

Rule: multiplying same variables (e.g., x×xx × x)

Add their exponents

Simplify: 3x×4x3x × 4x

12x212x^2

What is the distributive law?

Multiply outside number by each term inside bracket

Expand: 2(x+5)2(x + 5)

2x+102x + 10

Method: multiplying two brackets

Multiply each term in first by each term in second

Expand and simplify: (x+3)(x2)(x + 3)(x - 2)

x2+x6x^2 + x - 6

Simplify: 5x×3x5x × 3x

15x215x^2

Expand: 4(y+7)4(y + 7)

4y+284y + 28

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