Definitions
What invisible number is in front of variables?
1 ( 1y = y )
Which of the following are "like terms"? Why?
a. 6 and 8
b. 7b and 3a
a. 6 and 8 are like terms because they are both constants.
Simplify by combining like terms.
5a+ 6a
11a
8(5m+5)
40m + 40
5(m+3) − 6m
-m + 15
What is the variable in the following expression?
9y + 5
y is the variable
Which of the following are "like terms"?
a. 7m3 and 7m2
b. 2c - cb. 2c - c because both terms have the same variable "c"
Simplify by combining like terms.
3n + 4 + 6n + 3
9n + 7
2(6p - 9)
12p - 18
w − 4(−7w−10)
29w + 40
How many terms are in the following expression, and what are they? 5x2 + 6y - 4xy + 8
There are 4 terms: 5x2 , 6y , - 4xy , 8
Which of the following are "like terms"?
a. 3r and 5r
b. 2x and 2x2
a. 3r and 5r are like terms because they have the same variable "r"
Simplify by combining like terms.
2x + 5y + 8y + x
3x + 13y
5(b - 5)
5b - 25
5(−4p − 8p + 3) − 7p
−67p + 15
What are the coefficients and constants in the following expression?
7a - 4 + 3ab - 6 + 2b2
The coefficients are 7, 3, and 2. The constants are -4 and -6.
What terms can you combine in the following expression?
2y2 − 2 + 4x + 3 − 2x + 5y2
2y2 and 5y2, -2 and 3, 4x and -2x
Simplify by combining like terms.
-2 + 6n - 3 - 5n
n + -5
8(7r + 2s - 6)
56r + 16s - 48
9(m−9)−4(10m+2)
−31m−89
What is the difference between an expression and an equation? (An equation has an ________________ and an expression does not. )
An equation has an equal sign and an expression does not.
What terms can you combine in the following expression?
−y3 + 4 + 7x2 + 3 − 5y3 + 8
-y3 and -5y3, 4 and 3 and 8
−6 − 2y2 + 6x − 4x + 1 + 7y2 − y2
−5 + 4y2 + 2x
−(−3y + 34)
3y - 34
−(−9q+3r) + 6r −2(−4r+9q)
−9q + 11r