Vocabulary
A letter that represents an unknown number
Variable
A tennis club charges $100 to join the club and $10 for every hour using the courts. Write an equation using c for cost and h for hours playing tennis.
c=10h+100
Simplify
5x+3x-2y=10
7x-2y=10
Find x
-5x+1=-2+4x
x=1/3
Write in slope intercept form
2x+y=3
y=-2x+3
What the variable in the equation
5x+3= 3x
3
Emma and Sophie are saving money. Emma starts with $80 and saves $10 per week. Sophie starts with $120 and saves $6 per week. After how many weeks will they have the same amount of money?
10 weeks
x-2y+5x+2y=3
6x=3
Find x
4x-1=3x+2
x=1
Write in slope intercept form
5+x=5y
y=1/5x+1
The term that is being multiplied by the variable
Coefficient
Mike and Sarah are going to a theme park. Mike’s ticket costs $40, and Sarah’s ticket costs $30. They also bought $20 worth of food. How much did they spend in total?
$90
5+3x-2+x=2y
3+4x=2y
5x-235=2x-247
x=-4
Write in slope intercept form
3y+2+x
y=1/3x-2/3
What is the variable in this equation
5x+3y=7
x, y
Ava wants to buy a phone but is worried on how much it will cost. The phone plan costs $30 per month, and there is an additional charge of $0.10 per minute for calls. Write an equation using c for the cost and m for minutes.
c=0.10m+30
3x+7-x+1
2x+8
Find x
4.5x+3=3.7x+10
x=8.75
Write in slope-intercept form
y+2=6
y=-2x+6
What is the coefficient in the equation
x+3=9
1
Challenge:
Molly wants to have a beach party. The towels are $3 each and beachballs are $4 each. She bought 10 items in total and it cost $34. How many beach balls did she get?
4 beach balls
2x+1=5y+3y
2x+1=8x
Find x
4x+2x-3=4-5x
x=11/7 or 1.6
What is the slope
y=3x+5
3