Combining Like Terms
Type YES or NO in the chat:
Are 15x and 15x2 like terms?
NO!
It's not about having the same coefficient.
Also, being the same variable is not enough. Like terms must have the same variable to the same exponent.
What is 2(4+6) equivalent to?
=2(4) + 2(6)
=8+12
=20
What is the GCF of 8x and 24?
8
What operation do you do when you see the word "quotient"?
Divide
George's grade went up 4% after his math quiz! If he started at 89%, what is his grade after the quiz?
93%
What is the coefficient in the expression 8x+15?
8
What is 2(x+1) equivalent to?
=2(x) + 2(1)
=2x+2
Stop here because you can't combine those terms.
Factor 16x+12 by using the GCF.
GCF = 4
16x+12 --> 4(4x+3)
How can you say 8-n in words?
8 minus n
8 take away n
n removed from 8
The difference between 8 and n
...so many ways!
Jesse can run twice as fast as James. If James runs at a speed of j miles per hour, write an expression to represent how fast can Jesse run.
2j
What is 9x-3x equivalent to?
6x
What is 7(x-5) equivalent to?
=7(x) - 7(5)
=7x-35
Stop here because you can't combine any further.
Factor 10x+15 using the GCF
GCF=5
10x+15 --> 5(2x+3)
What is the expression for:
38 increased by a number
38+n
There are 12 donuts in a box of 1 dozen. How many donuts will you have if you have p number of boxes?
12p donuts
What is 6t + 7 + t equivalent to?
7t + 7
What is 2(8x+3) equivalent to?
=2(8x) + 2(3)
=16x + 6
Stop here because you can't combine those terms.
Factor 4x-24 using the GCF
GCF=4
4x-24 --> 4(x-6)
3 times the sum of 8 and a number
3*(8+n)
=3(8+n)
Kathy ate 3 girl scout cookies from the box. If the box originally had b number of cookies, what expression can be used to represent how many cookies are left in the box?
original amount - cookies eaten = remaining amount
So,
b-3 cookies left in the box
What is 9y+10+5x-3y-8+2 equivalent to?
5x+6y+4
What is 1/2(x-6) equivalent to?
=1/2(x) - 1/2(6)
=1/2x - 3
Stop here because you can't combine these terms.
Factor 36x+108 using the GCF
36(x+3)
In the chat, try translating this to math:
x minus the sum of w and y
x - (w+y)
Zed earns $12 an hour delivering pizza. He worked h hours this week, but his pay was deducted $15 because he was late for a delivery this week. Which expression represents how much money Zed earned this week?
A) 12h + 15
B) 12h - 15
C) 12 + 15h
D) 12 - 15h
B) 12h - 15