Substituting & Simplifying

Vocabulary

100

In an expression, the parts being added together or subtracted. Example:  4x  +  3x  +  3y  + 7y

Terms 

200

Terms that contain the same variable(s) raised to the same exponent.  These terms can be combined. 

Example:  3x² + 9x²   or   7xy + 3yx

Like Terms

300

A mathematical phrase that contains numbers, operations, and/or variables (but no = sign). Example:  5x + 4y + 5 - 2x

Expression

400

To perform all indicated operations, including combining like terms.  When you do this you do not always get a number answer like 25 or 10 or -1.  Frequently you get an expression as an answer, like 2x + 5.

Simplify

500

To determine the value of an expression when the unknown(s) are assigned a number value and substituted into the expression.

Evaluate

Adding & Subtracting Like Terms

100

Simplify 8a + 15a + a

24a

200

Simplify m + 20n + 25m - 6n

26m + 14n

300

Simplify 21b - 11b + 10 - 12b

10 - 2b

400

Simplify 3xy + 2x - 7yx + 9z

2x - 4xy + 9z

500

Simplify 10x⁵ + 3x⁷ - 6x⁵ 

4x⁵ + 3x⁷

Substituting

100

Evaluate 3(4 + b), when b = 8

36

200

Evaluate 3 + 8a - 4b when a = 2 and b = 6

-5

300

Evaluate b(3d + c) + 15 when 

b = 5, c = 4 and d = 6

125

400

Evaluate 4h² + 3h³ - 5h when h = 5

450

500

Evaluate  3y + x² when x = 3 and y = -7

-12

Lucky Dip

100

-15j - 18k - 24j - 18k

-39j - 36k

200

Evaluate q³ / 4 when q = 6

54

300

If 6^x = 36, what is the value of x

x = 2

400

Simplify 6pq + (- 15pq)

-9pq

500

Simplify the following expression 

3ab x 5a³ + 7a⁴b

22a⁴b

Like Terms OR Not Like Terms

100

Like Terms OR Not Like Terms 7x + 7

NOT Like Terms 

200

Like Terms OR Not Like Terms 3x - 4x + x

Like Terms

300

Like Terms OR NOT Like Terms 3x + 2y + 2xy

NOT Like Terms 

400

Like Terms OR Not Like Terms 3acb + 2abc + 7bac

Like Terms 

500

Like Terms OR Not Like Terms 

10xy² -3xy + 3y³x - 4xy⁵

NOT Like Terms