Pre-Algebra Chapter 7

Simplify

100

-81x⁴y³z⁴

-3xy⁴z⁵

27x³

yz

200

  x² - 25  

x²+3x-10

x-5

x-2

300

  3x - 3  

x²-2x+1

  3  

x-1

400

x-3

3-x

-1

500

6 - x

x²-36

- 1  

x+6

Proportions 7-4

100

x/12 = 5/4

x = 15

200

x/2 = (x+2)/5

x = 8

300

x/(x+4) = (x+1)/(x+6)

x = 4

400

(5x-3)/4 = (5x+3)/6

x = 3

500

x/(x+4) = (x+1)/(x+6)

x=4

Multiply/Divide 7-5,6

100

x/4 * 12/x

3

200

(y²-4)/(y²-1) * (y+1)/(y+2)

(y-2)/(y-1)

300

x/9 divided by x/3

1/3

400

(x²-1)/2 divided by (x+1)/16

8(x-1)

500

(n-1)(n+1)/(n+1) x (n-4)/(n-1)(n+4)

(n-4)/(n+4)

Add/Subract 7-7-9

100

x/3 + 2x/3

x

200

(3a+2b)/4ab  + (a+2b)/4ab

(a+b)/ab

300

4x/3 - x/6

7x/6

400

2/(x-1) + 2/(x+1)

4x/(x²-1)

500

4x/(x+1) - x/(x-1)

x(3x-5)/(x²-1)

Solving 7-10

100

x/3 - x/5 = 4

x=30

200

(x+3)/8 -(x-2)/6 = 1

x=-7

300

(3x+1)/4 = (44-x)/5

x=9

400

x/3 + x/4 = 7/4

x=3

500

3y/8 + y/4 = 10

y=16