A number with no variable.
Example: 7 in the expression 3x + 7.
Constant
5 x 6
30
Combine:
3x + 5x
8x
Distribute:
3(x + 2)
3x + 6
Multiply 3 by x and 3 by 2
Is 3 a factor of 15?
(yes/no)
Yes
15 ÷ 3 = 5 → no remainder.
A letter that represents a number.
Example: x in 5x – 2.
Variable
-2 x 4
-8
Simplify:
12x - 5x
7x
Distribute
4(y-5)
4y - 20
Multiply 4 by y and 4 by -5
Is 4 a factor of 28?
(yes/no)
Yes
28 ÷ 4 = 7 → divides evenly.
What is the coefficient in this example: 9m?
Coefficient
- 4 + 7
3
Simplify:
2y + 7 – y
y + 7
Distribute:
2(3x + 7)
6x + 14
Multiply 2 by 3x and 2 by 7.
List two factors of 32.
Possible answers:
1, 2, 4, 8, 16, 32
Any two are correct.
Terms with the same variable and exponent.
Example: 5x and –2x
Like terms
4 - ( - 5)
9
Simplify
15a – 4a + 3a
14a
Distribute
–4(n + 3)
–4n – 12
Explanation: Multiply –4 by n and –4 by 3.
Is 6 a factor of 50?
(yes/no)
No
50 ÷ 6 = 8.33… → not a whole number.
Terms with different variables or powers.
Example: 5x and 2y
Unlike terms
-20 x -2
40
-12a + 5a
-7a
Distribute:
6(2m – 5)
12m – 30
Explanation: Multiply 6 by 2m and 6 by –5.
List all factors of 36.
Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36