Parts of an Algebraic Expression
The algebraic expression: -2z - 3 + 4c + 6y
has how many TERMS?
4 terms
What is distributive property?
When you multiply the term outside the parenthesis by all terms inside the parenthesis
(2.1a + 1.2b) + (4a - .7b)
6.1a + 0.5b
(7/8y + 1/2) - ( -3/8y + 1/6)
1 1/4y + 1/3
If you see the word TOTAL, which operation would you use for this word problem?
Addition
In the algebraic expression: -m +2+4c
the COEFFICIENT(S) is/are...
-1 and 4
Simplify 3(m - 4)
3m-12
3x+4+2x+1
5x+5
(-2x+5) - (-4x-7)
2x + 12
If you see the word DIFFERENCE, which operation would you use for this word problem?
Subtraction
In the algebraic expression: -m +2+4c
the CONSTANT(S) is/are...
2
Simplify -2(y+3)
-2y-6
(-7r + 3s) + (8r - 4s)
r - s
(70y - 3m) - (66y - 4m)
4y + m
If you see the word phrase "HOW MUCH MORE", which operation would you use for this word problem?
Subtraction
When simplifying some algebraic expressions you must
__________ _________ _________
combine like terms
Simplify -(7a + 15)
-7a-15
3/4Y+1/4Y
Y
5c - (6 - 1c)
6c - 6
The number of cheese pizzas ordered in one evening is represented by (2x + 4). The number of mushroom pizzas ordered is represented by (5x – 8). What is the TOTAL number of pizzas ordered?
7x - 4
Is this expression simplified or not simplified?
4x + 3c - 12x + 4d
NOT simplified
What happens when there is a negative outside of the parenthesis?
Everything inside the parenthesis becomes the OPPOSITE
(23X + 10Y) + (42 + 6X) + (14Y - 10)
29X + 24Y + 32
(9+4y) - (-1+8y) + (7-y)
17-5y
John's number of pencils is represented by (5x + 8). Mark’s number of pencils is represented by (2x - 7). What is the DIFFERENCE between John and Mark’s number of pencils?
3x + 15