So you think you're smarter than a 6th Grader!!!

Vocabulary

100

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

What is a term?

200

Terms that contain the same variable(s) raised to the same exponent. These terms can be combined. Example: 3x + 9x or 7y + 3Y

What are like terms?

300

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

What is an 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.

What is simplify?

500

A symbol, usually a letter of the alphabet, used to represent a quantity that can change.

What is a variable?

Combining

100

8a - 15a + a + 9

What is -6a + 9

200

-5x - 35 + 3x + 2

What is -2x - 33

300

32 + 12t + 16t + 8

What is 28t + 40

400

-6p + 32 + 16p - 2 + 4p

What is 14p + 30

500

m + 20n + 25m + 6n

What is 26m + 26n

Combining Like Terms

100

21b - 11b - 10 + 12b

What is 22b - 10

200

12(c - 2) + 30

What is 12c + 6

300

5(z + 5) - 2 - z

What is 4z + 23

400

7d - 40 + 8d

What is 15d - 40

500

15(j + 1) - 8k - 2j

What is 13j - 8k + 15

Exponents

100

x² + y³   when x = 3 and y = 2

What is 17

200

x³ - 6  when x = 3

What is 21

300

2(x² - 5) when x = 4

What is 22

400

3(a² - b)   when a = 5   and   b = 10

What is 45

500

2(n² + m²) - 7             when n = 3  and m = 2

What is 19

PEMDAS

100

7 + 4 x 2³

39

200

4 + 6² / 12

7

300

(5 - 3)⁴ - 2(7) + 8²

66

400

13 + (38 - 6²)x3

19

500

7² - 5(10 - 3²)

44