Abs Val, Piecewise, & Inv Func Practice Problems

Question 1

What is the solution for: |1-x|=2x

Answer 1

x=1/3

Question 2

What is the solution for: 2|-2x+5|+3=17

Answer 2

x=-1
x=6

Question 3

What is the solution for: -2|x+3|=-12

Answer 3

x=3
x=-9

Question 4

What is the solution for: |2x+2|=8

Answer 4

x=3
x=-5

Question 5

What is the solution for: 3+2|x-3|=7

Answer 5

x=5
x=1

Question 6

What is the solution for: 1/2|6x-2|+4=6

Answer 6

x=1
x=-1/3

Question 7

What is the solution for: 3|5x-5|+1≥10

Answer 7

x≥8/5
x≤2/5

Question 8

What is the solution for: 2|3x-1|+8<4

Answer 8

x<-1/3
x>1

Question 9

What is the solution for: |2-3x|-5>4

Answer 9

x<-7/3
x>11/3

Question 10

What would be the piecewise function for the equation: y=|x-1|-2

Answer 10

y={x-1if x≥-1
y={-x-3 if x<-1

Question 11

What would be the piecewise function for: y=-|x+3|+2

Answer 11

y={-x-1 if x≥-3
y={x+5 if x<-3

Question 12

Find the inverse of: 5-9x

Answer 12

-(x+5)/9

Question 13

Find the inverse of: (1/2)x+7

Answer 13

2x-14

Question 14

Find the inverse of: (x-2)^3+1

Answer 14

3√(x-1)+2

Question 15

Find the inverse of: (x^5-11)/2

Answer 15

5√2x+11