Algebraic Expressions

Vocabulary

100

What term means addition, subtraction, multiplication, or division? 

a.   term     b.  coefficient     c.  operation     d.  variable 

operation

200

What term means "an unkown value represented by a letter?"  

a.  coefficient     b.  variable     c.  algebraic expression

variable

300

What term means "a number multiplied by a variable?"

a.  term     b.  coefficient     c.  constant     d.  variable

coefficient 

400

Which term means "a number that stands alone."

a.  term     b.  coefficient     c.  constant     d.  variable

constant

500

Which term means "the parts of an algebraic expression that are separated by an operation?"

a.  term     b.  coefficient     c.  constant     d.  variable

Simplifying

100

5x + 2x + 6 - 3

7x + 3

200

3/5x + 2/7 + 4/7 - 1/5x 

2/5x + 6/7

300

2.1 - 1.6 + 3.9m - 2.9m

0.5 + m

400

4/7w + 1/3w + 41.4 - 38.6 

19/28w + 2.8

500

5/9q + 1/3q + 4/5p - 3/10p 

8/9q + 1/5p 

Evaluating

100

Evaluate:     x + 9     when x = 13 

22

200

Evaluate:     4y - 8   when y = 5

12

300

Evaluate     3x + 6y - 11     when x=5 and y=9 

58

400

Evaluate     (p + 8q) - 3p + 2q     when p=11 and q=7

48

500

Evaluate:    1/2 (m + n) + 2m     when m= 12 and n= 14

37

Expanding

100

Expand using the distributive property: 

5 ( 2m + 3) 

10m + 15

200

Expand using the distributive property:  

1.2 (4p - 9q) 

4.8p - 10.8

300

Expand using the distributive property: 

1/3 (18w + 51) 

6w + 17

400

-1/7 (49b - 70) 

-7b + 10

500

-1.5 (1.2 + 2.4a) 

-1.8 + (-3.6a)     or     -1.8 - 3.6a

Expanding & Simplifying

100

Expand and simplify: 

2 (4a + 8) - 6 

8a + 10

200

1/2 (16h - 8j) + 3j

8h - j

300

-3 (11v + 5u) + 33v - 9u 

-24u

400

-1.6 (4w + 9) + 9 - 2.1w 

-8.5w - 16.5

500

Expand and evaluate: 

-1/4 ( 44a - 28b) + 11a - 3a + 13b

-3a + 20b