Adding, Subtracting and Analyzing Algebraic Expressions

Parts of an Algebraic Expression

100

The algebraic expression: -2z - 3 + 4c + 6y

has how many TERMS?

4 terms

200

In the algebraic expression: -m +2+4c

the COEFFICIENT(S) is/are...

-1 and 4

300

In the algebraic expression: -m +2+4c

the CONSTANT(S) is/are...

2

400

Simplifying algebraic expression means you must

__________  _________  _________

combine like terms

500

Simplified or not simplified? 

4x + 3c - 12x + 4d

NOT simplified

Properties of Algebraic Expressions

100

What is distributive property?

a (b+c) = ab+ac. 

And (b+c) a =ba+ca.

200

Simplify 3(m - 4)

3m-12

300

Simplify -2(y+3)

-2y-6

400

What is additive inverse Formula?

Additive Inverse Formula = -1 * Number

500

What is the additive inverse of the expression (-7a + 5)?

7a-5

Adding Algebraic Expressions

100

(2.1a + 1.2b) + (4a - .7b)

6.1a - .5b

200

3x+4+2x+1

5x+5

300

(-7r + 3s) + (8r - 4s)

1r + (-1s) OR 1r - 1s

400

3/4Y+1/4Y

Y

500

23X + 10Y + 42 + 6X +14Y-10

29X+24Y+32

Subtracting Algebraic Expressions

100

(7/8y+1/2)-(-3/8y+1/6)

1.1/4y+3

200

(-2x+5)-(-4x-7)

-2x -12

300

(70y - 3m) - (66y - 4m)

4y + m

400

5c - (6 - 1c)

6c - 6

500

(9+4y) - (-1+8y) + (7-y)

17-5y

Analyzing Algebraic Expressions

100

What is the PERIMETER of a rectangle 

with a length of 1.25x + 3

and a width of 3x - 1.5

8.5x + 3

200

Write each expression in the appropriate column to identify it as linear or not linear:

7x         5x + 3                  14         3x²

Linear: 7X, 5x+3, and 14

Non-Linear: 8xy, 3x² 

300

What is the PERIMETER of a triangle whose sides are 

30,7x, and 4x+3

11x + 33

400

What is (5/6z+5)+(-1/3z-4)

1/2z+1

500

Write each in the appropriate column to identify it as Expressions and 

5(12+2) =90–20

g+25–7=7g

5(12+2)

g+25–7

Equations:

5(12+2) =90–20

g+25–7=7g

Expressions:

5(12+2)

g+25–7