substitution

SubstitutionSubstitutionChapter 10Chapter 10

Simplify the following monomials.


1. 3x when x = 41. 3x when x = 43(4) =3(4) = 1212

3. 3x when x = -4

3. 3x when x = -43(-4)

=3(-4) =

-12-12



5. x2 when x = 35. x2 when x = 3(3)2 =(3)2 = 99

7. x2 when x = -37. x2 when x = -3(-3) 2 =

(-3) 2 =

99



9. -x2 when x = 89. -x2 when x = 8-(8)2 =

-(8)2 =

-64-64

11. -x2 when x = -8

11. -x2 when x = -8-(-8)2

=-(-8)2 =

-64-64

Simplify the following binomials.


13. 6x + 2 when x = 413. 6x + 2 when x = 46(4) + 2 =6(4) + 2 =2626

15. 4x - 3 when x = -715. 4x - 3 when x = -74(-7) - 3 =4(-7) - 3 = -31-31



17. x2 + 2 when x = 517. x2 + 2 when x = 5(5)2 + 2 =(5)2 + 2 = 2727

19. x2 - 3 when x = -419. x2 - 3 when x = -4(-4)2 - 3 =(-4)2 - 3 = 1313



21. -x2 + 2x when x = 821. -x2 + 2x when x = 8-(8)2 + 2(8) =-(8)2 + 2(8) =-48-48

23. -x2 - 3x when x = -6

23. -x2 - 3x when x = -6-(-6)2 - 3(-6) =-(-6)2 - 3(-6) =-18-18

Simplify the following trinomials.


25. x2 + 6x + 2 when x = 325. x2 + 6x + 2 when x = 3

(3)2 + 6(3) + 2 =(3)2 + 6(3) + 2 =2929

27. -x2 + 4x - 3 when x = -7

27. -x2 + 4x - 3 when x = -7-(-7)2 +4(-7) - 3 =-(-7)2 +4(-7) - 3 = -80-80



29. x2 - 5x + 2 when x = -529. x2 - 5x + 2 when x = -5

(-5)2 - 5(-5) + 2 =(-5)2 - 5(-5) + 2 =5252

1. x3 + 2x2 + 6x + 2 when x=11. x3 + 2x2 + 6x + 2 when x=1

(1)3 + 2(1)2 + 6(1) +2 =

(1)3 + 2(1)2 + 6(1) +2 =

1111

Enrichment - Simplify the following expressions using

substitution.

Enrichment - Simplify the following expressions using

substitution.

3. -2x3 + 3x2 - 6x + 2 when x= -2

3. -2x3 + 3x2 - 6x + 2 when x= -2-2(-2)3 + 3(-2)2 - 6(-2) +2 =-2(-2)3 + 3(-2)2 - 6(-2) +2 =4

242

substitution

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