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Algebra Worksheets - Download free PDFs

Expansion

Distributive/Law

Whole Numbers

1.\:\:expand\:(5+2)\times8

2.\:\:expand\:(9+9)\times2

3.\:\:expand\:(3+10)\times2

4.\:\:expand\:(2+8)\times6

5.\:\:expand\:(3+5)\times7

6.\:\:expand\:(9+4)\times6

7.\:\:expand\:(7+7)\times9

8.\:\:expand\:(2+7)\times4

9.\:\:expand\:(9+5)\times5

10.\:\:expand\:(7+7)\times5

Expansion

FOIL

FOIL Basic

1.\:\:expand\:(-x-6)(-x-4)

2.\:\:expand\:(-x+5)(x-3)

3.\:\:expand\:(x-8)(-x-6)

4.\:\:expand\:(x-2)(-x+4)

5.\:\:expand\:(-x-9)(-x-5)

6.\:\:expand\:(-x+10)(x-6)

7.\:\:expand\:(x-10)(-x-7)

8.\:\:expand\:(x-7)(-x+3)

9.\:\:expand\:(-a-8)(-a-1)

10.\:\:expand\:(u-6)(-u-7)

Factor

GCF

One Variable

1.\:\:factor\:4x^{3}+2x

2.\:\:factor\:3x^{5}+4x^{4}

3.\:\:factor\:36x^{4}-42x^{3}

4.\:\:factor\:3x^{4}+9x^{2}

5.\:\:factor\:18x^{3}+24x

6.\:\:factor\:20x^{5}+8x^{4}

7.\:\:factor\:9a^{4}-33a^{3}

8.\:\:factor\:12x^{3}+28x

9.\:\:factor\:2a^{4}-4a^{2}

10.\:\:factor\:14x^{3}+7x

Factor

Trinomials

Leading coefficient is 1

1.\:\:factor\:x^{2}+2x-3

2.\:\:factor\:x^{2}+4x-12

3.\:\:factor\:x^{2}+4x-21

4.\:\:factor\:x^{2}+3x-10

5.\:\:factor\:x^{2}+6x-27

6.\:\:factor\:x^{2}+18x-19

7.\:\:factor\:x^{2}+x-6

8.\:\:factor\:x^{2}+13x-14

9.\:\:factor\:u^{2}+3u-18

10.\:\:factor\:x^{2}+16x-17

Exponents

Exponents

Zero

Logarithms

Logarithms

Zero, One, Negative

1.\:\:\log_{10}(10)

2.\:\:\log_{10}(1)

3.\:\:\log_{a}(a)

4.\:\:\log_{b}(1)

5.\:\:\log_{2}(-4)

6.\:\:\log_{10}(0)

7.\:\:-2\log_{5}(5)

8.\:\:\log_{7}(1)\cdot\log_{5}(25)

9.\:\:-\log_{3}(1)

10.\:\:\log_{3}(\sqrt{9})

Radicals

Radicals

Fractional Exponent

1.\:\:\sqrt{x^{3}}

2.\:\:\sqrt{x^{5}}

3.\:\:\sqrt{x^{15}}

4.\:\:\sqrt{x^{4}}

5.\:\:\sqrt{x^{6}}

6.\:\:\sqrt{x^{8}}

7.\:\:\sqrt{x^{9}}

8.\:\:\sqrt{x^{13}}

9.\:\:\sqrt{x^{7}}

10.\:\:\sqrt{x^{11}}

Complex Numbers

Complex Numbers

Powers of i

Linear Equations

One-Step Equations

One-Step Addition