Factor and Expand linear expressions

Factor the Equations

100

Factor the equation:

3n + 6

A) 3(n+2) 

B) 6(n+5)

Answer:

A) 3(n+2)  

200

Factor the equation:

3n + 9

A) 9(n+3)

B) 3(n+3)

Answer:

B. 3(n+3)

300

Factor the equation:

2n + 12

Answer:

2(n+6)

400

Factor the equation:

5n + 15

Answer:

5(n+3)

500

Factor the equation:

5n - 20

Answer:

5(n-4)

Solving Problems with one Number Missing

100

Find the value of n

n – 8 = 6

Answer:

n – 8 = 6

n = 6 + 8

n = 14

200

Find the value of n

n + 5 = 10

Answer:

n + 5 = 10 

n = 10 - 5

n = 5

300

Find the value of n

n – 7 = 13

Answer:

n – 7 = 13

n = 13 + 7

n = 20

400

Find the value of n

n + 3 = 12

Answer:

n + 3 = 12

n = 12 - 3

n = 9

500

Find the value of n

n + 14 = 25

Answer:

n + 14 = 25 

n = 25 - 14

n = 11

Expand the Equations

100

Expand the equation:

2(n+2)

Answer:

2n + 4

200

Expand the equation:

2(n-9)

Answer:

2n-18

300

Expand the equation:

5(n+5)

Answer:

5n+25

400

Expand the equation:

2(n+9)

Answer:

2n+18

500

Expand the equation:

6(n-4)

Answer:

6n-24