Unit 5 Review

Simplifying expressions

100

1. 16p² / 28p 

4p / 7

200

2.  -70n² / 28n

-5n / 2

300

4. (m+7) / (m²+4m-21) 

1 / (m-3) 

400

5. (p+4) / (p²+6p+8) 

1 / (p+2)

500

6. (p²-3p-10) / (p²+p-2) 

(p-5) / (p-1) 

Multiplying and Dividing

100

1. (x-y)/5z  x  5z/(y-x) 

(x-y) / (y-x) or -1

200

2. (xy)/(x²-4x)  x  (x²-16)/4y

(x+4) / 4

300

9. (2x²-8x) / (x²-16)  ÷  (8x²) / (x²+8x+16)

(x+4) / 4x

400

8. (2b²+3b-2) / (4b²+8b)  x  (8b³-8b²) / (2b²-b)

2(b-1)  or  2b-2

500

13. (36-x²) / (x²+8x+12) ÷ (x²-6x) / (x-2) 

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

Adding and Subtracting

100

1. 5/y + y/5 

(25+y²) / 5y

200

2. 3/x + 5/y 

(3y+5x) / xy

300

What is the LCM of  3y²-9y  and  y²-8y+15 ? 

3y(y-3)(y-5) 

400

3. 5/(6ab)  -  7/(8a)

(20-21b) / 24ab

500

5. 7/(c-d)  -  7/(c+d) 

14d / (c²-d²)  or  14d / (c-d)(c+d) 

Complex Fractions

100

2. (y²/16) - 1  /  (y/8) - (1/2)

(y+4) / 2

200

3. 1- (2/x)  /  1-(4/x²) 

x / (x+2)

300

7. (x/y)+x  /  (1/y)+1

x

400

9. n - (1/n)  /  (1-n² / n)

(n-1)/(1-n)  or  -1 

500

8. (x-y / y)  /  (1-y) - (1/x) 

x

Solving Equations

100

1. (3 / 2z) + (1 / z) = (1/2) 

z = 5

200

(b+6 / 3) + (b/3) = (2b+3 / 2) 

b = -1 

300

2. (y+3 / y+2) = (2 / y) + (1 / y+2) 

y = 2

400

5. x-2 + (4x / 3) = (3x-5 / 5)

x = 15/26

500

7. (x / x-5) - (2 / x+5) = (50 / x²-25)

x = -8