Equations
Inequalities
Common Inequality Words
Independent vs Dependent Variables
Write the Equation or Inequality?
100
y = 7x What is y when x = 4?
What is 28
100
Write the inequality for the graph below:
x>1
100
Under
<
100
What the difference between independent and dependent variables?
Independent variable causes change in the dependent variable and is not affected by any other variable, whereas, the dependent variable changes based on the independent variable.
100
Joseph has $60 to spend at the store. He buys a pair of shoes for $20 and would like to buy some t-shirts, s, for $10 each. Write an equation to find how many t-shirts, s, he can buy.
10s+20=60
200
y = 6x + 19 What is y when x= 5?
What is 49
200
Write the inequality that represents the graph below:
x≤-3
200
Bigger than
>
200
Identify the independent and dependent variables in the scenario:
Nina harvests pumpkins and sells them to a local grocery store. The greater the weight of the pumpkins, the more they're worth.
Independent variable: Weight of the pumpkins
Dependent variable: How much they are worth
200
Jesse is going to the store and would like to spend less than $60. He purchases a game for $20 and then wants to buy some movies, m, at $5.50 each. Write an inequality to find how many movies Jesse can buy.
5.50m+20<60
300
c = 12d + 3 What is c when d = 5
What is 63
300
Describe the graph of the inequality: b≤4
Closed circle on 4 and arrow going to the left
300
At least
≥
300
Identify the independent and dependent variable in this scenario:
Emmy is saving money for a vacation to Thailand in the fall. The number of days she is able to spend in Thailand will depend on the amount of money she saves for the trip.
Independent variable: The amount of money that she saves
Dependent variable: The number of days that she is able to spend in Thailand
300
Patricia is participating in a fundraiser where she will have to raise at least $600 to earn a prize. She is selling cookie boxes, c, for $8 each and has already earned $200. Write an inequality to find how many boxes of cookies, c, she must sell to reach her goal.
8c+200≥600
400
y = 8x - 7 What is y when x = 3
What is 17
400
Describe the graph of the inequality: x>6
Open circle on 6, arrow going to the right
400
No more than
≤
400
Identify the independent and dependent variable in this scenario:
Every day at lunch, Deion swims laps in the pool for one hour. The faster his speed, the more laps he is able to swim in the hour.
Independent variable: His speed
Dependent variable: Amount of laps
400
A truck has to travel a total of 450 miles. It travels at a rate of 65 miles per hour, m. If the truck has already travelled 300 miles, write an equation to find how many hours the truck still has to travel.
65m+300=450
500
c = 50 - 2d What is c when d= 5?
What is 40 ?
500
Maria wants to spend a minimum of $90.
Which of the following numbers are true?
$70, $80, $90, $100, $110
$90, $100, $110
500
Not including
≠ OR < and >
500
Identify the independent and dependent variables in this scenario:
The electric company charges its customers based on usage. The quantity of electricity consumed determines the billing amount.
Independent variable: The amount of electricity that is consumed
Dependent variable: The billing amount
500
Jodie works for $16 an hour, h. She is deducted $150 from her paycheck for taxes and insurance. If she made $700 after taxes and insurance, how many hours, h, did she work? Write an equation.
16h-150=700