Basic Regents Review

Factoring trinomials

100

x² +8x + 7

(x+7) (b+1)

200

m² + 16b + 64

(m+8)(m+8)

300

n²- n -56

(n+7)(n-8)

400

b²-6b+8

(b-4)(b-2)

500

n² + 6n + 8

(n+2)(n+4)

Linear Equations

100

Make into y=mx+b

Find the m and the b

12x-9y=-9

y= 4/3x + 1

m= 4/3

b= 1

200

Make into y=mx+b

Find the m and find the b

2x- 4y = 20

y= 1/2x -5

m= 1/2

b= -5

300

4x + y = -1

y= -4x - 1

m= -4

b= -1

400

x - y = -5

y= x + 5

m= 1

b= 5

500

2x + 3y = 0

y= -2/3x

m= -2/3

b= 0

One/Two step solving

100

Find N

4 - 6n = 60 -2n

N= -14

200

Find X

12 - 2x = 9x + 45

x= -3

300

Find N

11n + 23 = 6n - 47

n=-14

400

16 - 2n = n - 11

n=9

500

5y - 8 = 3y + 12

y= 10

Solving Inequalities

100

6a -11 < 29 - 2a

a < 5

200

5 - 2a ≤ -6a -27

a ≤ -8

300

4x - 6 ≥ 6x - 20

x ≤ 7

400

-2x + 6 ≥ 3x - 34

x ≤ 8

500

2x - 1 ≤ 5x + 20

x ≥ -7

Random

100

Factor

k² - 13k + 40

(k-5) (k-8)

200

x - y = -8

Find y=mx+b

find m

find b

y= x + 8

m= 1

b= 8

300

n - 26 = 28 - 2n

Find n

n = 18

400

4c - 9 < 6c + 25

Find c

c > -17

500

Find x

6(x - 2) + 9 ≥ 4x - 3(x+6)

x ≥ -3