Combining Like Terms

Vocabulary

100

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

What is a term?

200

Unchanging numbers in an expression or equation.  Numbers that are not connected to a variable. Example: The 3 in 5x + 3.

What are constants?

300

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

What is an expression?

400

A number next to a variable that is combined with multiplication, like the number 5 in 5x + 3

What is coefficient?

500

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

What is a variable?

Simplifying (Addition)

100

8a + 15a + a + 9

What is 24a + 9

200

5x + 35 + 3x + 2

What is 8x + 37

300

32 + 12t + 16t + 8

What is 28t + 40

400

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

What is 26p + 34

500

m + 20n + 25m + 6n

What is 26m + 26n

Substitute and solve

100

5x + 3 when x = 10

What is 53

200

c/4 when c = 12

What is 3?

300

12a + 2 when a = 1/2

8

400

5x² when x = 4

What is 80?

500

24/c + c³ when c = 2

What is 20?

Combining Like Terms(Add & Subtract Mix)

100

7w + 15 + 17w - 10

What is 24w - 5

200

19a - 6b - 17a - 3b + 9b - 2a

What is 0

300

2f - f + 6 + 5f

What is 6f + 6

400

5r + 3q - 2q - r

What is 4r + q

500

53t + 20r + 17 - 10t - 7

What is 43t + 20r +10

Write the expression

100

5 more than a number x

What is 5 + x or x + 5?

200

The produce of 5 and a number x

What is 5x?

300

The quotient of 5 and a number x

What is 5/x?

400

5 fewer than a number x?

What is x - 5?

500

6 fewer than twice a number x

What is 2x - 6?