Exam Review

Chapter 1

1

3x-5=2x+1

x=6

2

|x-3|=8

x=11 and -5

3

5(x+3)=8x+20

x=-5/3

4

a number g to the power of eight minus eight plus ninety

g⁸-8+90

5

|x+11|=3(11-8)²

x=70 and -92

Chapter 2

1

15% tax of 30

34.5

2

k+y=mx Solve for m-y

k/x=m-y

3

15/25=x/80

x=48

4

mx/p=l/u solve for x

p(l/u)/m

5

49% discount of 50 with a 10% tax

26.95

Chapter 3

1

(1,3) (2,8) find m(slope)

m=5

2

1,8,15,22,29,36, etc. create an equation for this arithmetic sequence

x=1+7(n-1) or x=7n-6

3

y-5=6(x+1) change to standard form

6x-y=-11

4

8-2x=-11 solve for x

x=9.5

5

8x-3y=-15 change into both slope-intercept and point-slope form

Slope-intercept:y=8/3x+5

Point-slope: y-5=8/3(x-0)

Chapter 4

1

y=5/3x-5 find the slope of the perpendicular line

slope=-3/5

2

y-intercept=(0,5)

x-intercept=(3,0)

Create a point-slope equation using the given points

y-5=-5/3(x-0)

3

y-8=5(x+5) solve for the perpendicular line in standard form using the point (5,0)

5y+x=5

4

slope=-3

point=(6,3)

create an equation in standard form

3x+y=21

5

f(x)=3/7x-21 find inverse equation

y=2 1/3x+49

Chapter 5

1

4x>18 solve

x>4.5

2

3>2x>8 solve

1.5>x>4

3

5<3x-4<14

3<x<6

4

4+2x<5x+10<30

-2<x<4

5

2x+4<5x-8<4x+10 solve

4<x<18