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Chapter 7

Elementary Algebra · 323 exercises

Problem 1

Find the greatest common factor. 8,18

3 step solution

Problem 2

Find the greatest common factor. 24,40

4 step solution

Problem 3

Find the greatest common factor. 72,162

4 step solution

Problem 4

Find the greatest common factor. 150,275

3 step solution

Problem 6

Find the greatest common factor. \(5 b, 30\)

3 step solution

Problem 8

Find the greatest common factor. \(21 b^{2}, 14 b\)

5 step solution

Problem 9

Find the greatest common factor. \(8 w^{2}, 24 w^{3}\)

4 step solution

Problem 10

Find the greatest common factor. \(30 x^{2}, 18 x^{3}\)

4 step solution

Problem 11

Find the greatest common factor. . \(10 p^{3} q, 12 p q^{2}\)

5 step solution

Problem 12

Find the greatest common factor. \(8 a^{2} b^{3}, 10 a b^{2}\)

5 step solution

Problem 13

Find the greatest common factor. \(12 m^{2} n^{3}, 30 m^{5} n^{3}\)

5 step solution

Problem 14

Find the greatest common factor. \(28 x^{2} y^{4}, 42 x^{4} y^{4}\)

5 step solution

Problem 15

Find the greatest common factor. \(10 a^{3}, 12 a^{2}, 14 a\)

4 step solution

Problem 16

Find the greatest common factor. \(20 y^{3}, 28 y^{2}, 40 y\)

5 step solution

Problem 17

Find the greatest common factor. \(35 x^{3}, 10 x^{4}, 5 x^{5}\)

5 step solution

Problem 18

Find the greatest common factor. \(27 p^{2}, 45 p^{3}, 9 p^{4}\)

4 step solution

Problem 19

Factor the greatest common factor from each polynomial. \(4 x+20\)

3 step solution

Problem 20

Factor the greatest common factor from each polynomial. \(8 y+16\)

5 step solution

Problem 21

Factor the greatest common factor from each polynomial. \(6 m+9\)

3 step solution

Problem 22

Factor the greatest common factor from each polynomial. \(14 p+35\)

3 step solution

Problem 23

Factor the greatest common factor from each polynomial. \(9 q+9\)

3 step solution

Problem 24

Factor the greatest common factor from each polynomial. \(7 r+7\)

3 step solution

Problem 25

Factor the greatest common factor from each polynomial. \(8 m-8\)

3 step solution

Problem 26

Solve. \(y^{2}-8 y+15=0\)

5 step solution

Problem 26

Factor the greatest common factor from each polynomial. \(4 n-4\)

3 step solution

Problem 27

Factor the greatest common factor from each polynomial. \(9 n-63\)

2 step solution

Problem 28

Factor the greatest common factor from each polynomial. \(45 b-18\)

3 step solution

Problem 29

Factor the greatest common factor from each polynomial. \(3 x^{2}+6 x-9\)

3 step solution

Problem 30

Factor the greatest common factor from each polynomial. \(4 y^{2}+8 y-4\)

3 step solution

Problem 31

Factor the greatest common factor from each polynomial. \(8 p^{2}+4 p+2\)

3 step solution

Problem 32

Factor the greatest common factor from each polynomial. \(10 q^{2}+14 q+20\)

4 step solution

Problem 33

Factor the greatest common factor from each polynomial. \(8 y^{3}+16 y^{2}\)

2 step solution

Problem 34

Factor the greatest common factor from each polynomial. \(12 x^{3}-10 x\)

3 step solution

Problem 35

Factor the greatest common factor from each polynomial. \(5 x^{3}-15 x^{2}+20 x\)

6 step solution

Problem 36

Factor the greatest common factor from each polynomial. \(8 m^{2}-40 m+16\)

2 step solution

Problem 37

Factor the greatest common factor from each polynomial. \(12 x y^{2}+18 x^{2} y^{2}-30 y^{3}\)

2 step solution

Problem 38

Factor the greatest common factor from each polynomial. \(21 p q^{2}+35 p^{2} q^{2}-28 q^{3}\)

5 step solution

Problem 39

Factor the greatest common factor from each polynomial. \(-2 x-4\)

4 step solution

Problem 40

Factor the greatest common factor from each polynomial. \(-3 b+12\)

3 step solution

Problem 41

Factor the greatest common factor from each polynomial. \(5 x(x+1)+3(x+1)\)

2 step solution

Problem 42

Factor the greatest common factor from each polynomial. \(2 x(x-1)+9(x-1)\)

2 step solution

Problem 43

Factor the greatest common factor from each polynomial. \(3 b(b-2)-13(b-2)\)

2 step solution

Problem 44

Factor the greatest common factor from each polynomial. \(6 m(m-5)-7(m-5)\)

2 step solution

Problem 45

Factor by grouping. \(x y+2 y+3 x+6\)

3 step solution

Problem 46

Factor by grouping. \(m n+4 n+6 m+24\)

3 step solution

Problem 47

Factor by grouping. \(u v-9 u+2 v-18\)

3 step solution

Problem 48

Factor by grouping. \(p q-10 p+8 q-80\)

4 step solution

Problem 49

Factor by grouping. \(b^{2}+5 b-4 b-20\)

3 step solution

Problem 50

Factor by grouping. \(m^{2}+6 m-12 m-72\)

4 step solution

Problem 51

Factor by grouping. \(p^{2}+4 p-9 p-36\)

3 step solution

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Chapter 7 - Elementary Algebra Solutions | StudyQuestionHub