Foundations of Algebra

Absolute Value

100

|-12| 

12

200

|10-9|

1

300

-|-50|

-50

400

|12-2|-|-10|

0

500

2|4-(-1)|

2|4+1| = 2|5| = 10

GCF and LCM

100

GCF of 10 and 5

5

200

LCM of 4 and 3

12

300

GCF of 40 and 36

4

400

LCM of 50 and 100

100

500

LCM of 72 and 64

576

Rules of Exponents

100

x² x³

x⁵

200

x²/x

x

300

(xyz)³

x³y³z³

400

(2xy)³z

8x³y³z

500

x⁵/x⁶

1/x

Combining like terms

100

6m – 5m + 1

m+1

200

-6x(4-5)

-24x+30x=6x

300

9-3d(6+9)

9-18d-27d= 9-45d

400

-4(-5f-3) +11 - 2f

-4(-5f-3) +11 - 2f 20f+12+11-2f 18f+23

500

g-4m+2(m-3)+6-2g

-g-2m

Multi-step equations

100

3m-1=m+5

3m-1=m+5 2m=6 m=3

200

-5-3x=2x+10

x=-3

300

4n-40=7(-2n+2)

4n-40=7(-2n+2) n=3

400

38+7k=8(k+4)

k=6

500

4(-8m+5)=-32m-26

4(-8m+5)=-32m-26 no solution