Mackenzie's+summative

__Mackenzie's Math Summative!__

Q: Write and simplify the equation obtained when the given expression is substituted for x.

A: a) **x=m-1** y=x2+1 y=(m-1)2+1 y=(m-1)(m-1)+1 y=m2-m-m+1+1 y=m2-2m+2

b) **x=2k+1** y=2x2-3 y=2(2k+1)2-3 y=2(2k+1)(2k+1)-3 y=2(4k2+2k+2k+1)-3 y=2(4k2+4k+1)-3 y=8k2+8k+2-3 y= 8k2+8k-1

c) **x=3t-1** y=x2+4x-1 y=(3t-1)2+4(3t-1)-1 y=(3t-1)(3t-1)+4(3t-1)-1 y=(9t2-3t-3t+1)+4(3t-1)-1 y=9t2-6t+1+4(3t-1)-1 y=9t2-6t+1+12t-4-1 y=9t2+6t+4

d) **x=3-2w** y=3x2-2x+4 y=3(3-2w)2-2(3-2w)+4 y=3(3-2w)(3-2w)-2(3-2w)+4 y=3(9-6w-6w+4w2)-2(3-2w)+4 y=3(9-12w+4w2)-2(3-2w)+4 y=27-36w+12w2-6+4w+4 y=27-6+4-36w+4w+12w2 y=12w2-32w+25