JLab JROTC AIYANNAH

add or subtract rational expressions

100

4x/10 - 7/10

4x-7/10

200

3/5x+15 + 6/(x+3)-5

9/5(x+3)

300

5/y+4 - 3y/(y+4)(y-2)

2(y-5)/(y+4)(y-2)

400

7/6x + 5/6x

12/6x Or 2/x

500

9/x+6 - 2/x-4

7x-48/(x+6)(x-4)

factor each DO NOT SOLVE

100

X^{^}2+7x-18=0

(X+9)(x-2)=0

200

x^{^}2-5x-14=0

(X-7)(x+2)=0

300

X^{^}3+4x^{^}2-9x-36

(X-3)(x+3)(x+4)

400

X^{^}2-2x-24

(X-6)(x+4)

500

3x^{^}2 -5x-12

(3x+4)(x-3)

add or subtract, as indicated

100

1/3p + 4/5p

17/15p

200

9/10q - 2/5q

1/2q

300

3/7r + 5/6r

53/42r

400

7/8s - 1/3s

13/24s

500

5/12t + 3/4t

7/6t

solve by completing the square

100

X²+8x-5=0

X=-4+sqrt(21)

200

X²+6x-11=0

X=-3+2sqrt(5)

300

X²+10x+4=0

X=-5+sqrt(21)

400

X²-4x-3=0

X=2+sqrt(7)

500

X²-2x-1=0

X=1+sqrt(2)

Word Problems

100

A number tripled and then increased by 5 is 29. What is the number?

Let the number be X. 3X + 5 = 29. 3X = 24. X = 8.

200

The sum of two consecutive numbers is 41. What are the numbers?

Let the numbers be X and X + 1. X + (X + 1) = 41. 2X + 1 = 41. 2X = 40. X = 20. The numbers are 20 and 21.

300

Brian charges $20 plus $4 for every window (n) he cleans. If a house has 7 windows, how much will he charge?

 Charge = $20 + $4n. For n=7, Charge = $20 + $4 * 7 = $20 + $28 = $48.

400

The length of a rectangle is 10 feet more than twice its width. If the perimeter is 170 feet, what is the width?

Let width = W, Length = 2W + 10. Perimeter = 2 * (Length + Width). 170 = 2 * ( (2W + 10) + W ). 170 = 2 * (3W + 10). 85 = 3W + 10. 75 = 3W. W = 25 feet.

500

Simplify: 4(X + 3) + 2X

Distribute the 4: 4X + 12 + 2X. Combine like terms: (4X + 2X) + 12 = 6X + 12.