Terms
Basic operations
Simplify
Distribution
Factorization
100

A number with no variable.
Example: 7 in the expression 3x + 7.

Constant 

100

5 x 6

30

100

Combine:
3x + 5x

8x

100

Distribute:
3(x + 2)

3x + 6

Multiply 3 by x and 3 by 2

100

Is 3 a factor of 15?
(yes/no)

Yes
15 ÷ 3 = 5 → no remainder.

200

A letter that represents a number.
Example: x in 5x – 2.

Variable

200

-2 x 4

-8

200

Simplify:

12x - 5x

7x

200

Distribute

4(y-5)

4y - 20

Multiply 4 by y and 4 by -5

200

Is 4 a factor of 28?
(yes/no)

Yes
28 ÷ 4 = 7 → divides evenly.

300

What is the coefficient in this example: 9m?

Coefficient

300

- 4 + 7

3

300

Simplify:
2y + 7 – y

y + 7

300

Distribute:
2(3x + 7)

6x + 14

Multiply 2 by 3x and 2 by 7.

300

List two factors of 32.

Possible answers:
1, 2, 4, 8, 16, 32
Any two are correct.

400

Terms with the same variable and exponent.
Example: 5x and –2x

Like terms

400

4 - ( - 5)

9

400

Simplify

15a – 4a + 3a

14a

400

Distribute

–4(n + 3)

 –4n – 12
Explanation: Multiply –4 by n and –4 by 3.

400

Is 6 a factor of 50?
(yes/no)

No
50 ÷ 6 = 8.33… → not a whole number.

500

Terms with different variables or powers.
Example: 5x and 2y

Unlike terms

500

-20 x -2

40

500

-12a + 5a

-7a

500

Distribute:
6(2m – 5)

12m – 30
Explanation: Multiply 6 by 2m and 6 by –5.

500

List all factors of 36.

Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36