Vocabulary
2k+10=16
What is k=3?
3a - 5 = 4
What is a=3?
1/5m - 4 = 1
1/5m-4+4=1
1/5m=1
m=5
Did not add 4 to both side
Jonathan purchased 120 pieces of candy for Valentne's Day. He gives 2 pleces to each of his friends. When he fishes handing out candy, he has 30 pieces left. How many friends did he glve candy to?
What is
2x+30=120
x=45?
What is a constant?
What is a fixed value that stands alone without being multiplied or divided by a variable.
2a + 11 = 35
What is a=12?
5m - 7 = 23
What is m=6?
5x+3=23
5x+3-3=23-3
5x=20
x=100
Multiplied by 5 instead of dividing by 5
Kevin went to a the store and bought a soccer ball. Joel went to the same store and bought a baseball for $80. The price of the baseball is $10 less than three times the price of the soccer ball. What is the price of the soccer ball?
what is 80=3x-10
x=$30
What is the inverse operation?
What is a given operation "undos" or "reverses" the other.
13r + 39 = -65
What is r=2?
4/5x+5=1
What is x=-25?
x/2+5=13
x/2=8
x=4
divided by two
Netflix charges David $15 per month for a membership, plus a $5 one- time fee for streaming on his phone. How many months will David have his membership for if Netflix changes him $50?
What is 15x+5=50
x=3?
The number being multiplied by a variable
What is a coefficient?
7d + 9.4 = -11.6
What is d=-3?
4j - 71.6 = 28.4
What is j=25?
2x+1=-5
2x+1+1=-5+1
2x=-4
x=-2
added 1 to both sides
Josselyn is complaining she has too much homework assignments. Hazel has 5 less than 4 times the amount of homework than Josslyn has. If Josselyn has 3 total homework assignments, how many homework assignments does Hazel have?
What is 3=4x-5?
x=2
What are the two steps in order to solve 2-step equations?
What is FIRST: Isolate the variable by using the inverse operation. SECOND: Use the inverse operation to remove the coefficient and apply to both sides of the equation.
2(2+3x)=16
what is x=2?
(x+2)/5=2
What is x=8?
10x+20=60
30x=60
x=2
10x and 20 are not like terms
Jillian brought $50 to spend on rides at the carnival. The rides cost $4 each. How many rides, r, has Jillian paid for if she has only $6 left of her original $50?
What is 6=50-4r ?
r=11