Write and Solve
Inequalities with Rational Numbers
Inequalities with Rational Numbers
Solve Inequalities
Independent and Dependent Variables
Identify Dependent and Independent Variables
Mixture of Lessons 1-10
100
8x< 56
x<7
100
Ed's birthday is less than 5 days away. Ann writes the inequality d<4, where d is the number of days, to represent this. Is Ann correct?
No. It should be less than or equal to 4 or it could be less than 5.
100
To identify the _______ variable, ask yourself which variable depends on the other.
To identify the _______ variable, ask yourself which variable causes the change
To identify the DEPENDENT variable, ask yourself which variable depends on the other.
To identify the INDEPENDENT variable, ask yourself which variable causes the change
100
If m represents the number of minutes of exercise and c represents the number of calories burned during exercise, which variable represents the dependent and which represents the independent?
dependent: c
independent: m
100
Mr. K is organizing a class trip. He wants to spend less than $900. The bus rental cost $600. Mr. K will also buy tickets that cost $9.50 per student.
Write an inequality to represent the number of students, y, that Mr. K can bring on the trip.
9.5y<300
200
x-2.56> 0.44
x> 3
200
On a number line, what does a closed and open circle represent?
Open= not a solution
Closed= is a solution
200
Victor and Moncies record the number of miles, m, they bike to help track the number of calories,c, that they burn in an hour. Victor says the number of calories they burn is the dependent variable. Do you agree and why?
Yes. The number of calories burned depends on how many miles they rode the bike.
200
The number of hours, h, spent driving at a speed of w miles per hour,
independent: w
dependent: h hours depends on the speed driven
200
Write an inequality to represent the situation.
Up to 21 people, m, visited Bruesters today.
m <= 21.
300
x/2 > 3.5
x>7
300
Substitute the given values of the variable to find the solution, if any.
k< 25
k= 30, 25, 21, 24
k= 21, 24
300
The dependent variable can be found on this axis on a graph.
y axis
300
The calories, c, in a snack and the amount of the snack, a.
dependent: c
independent: a
300
Draw a number line to represent k>6.
400
x + 5.75 >= 8.75
x>=3
400
Substitute the given values of the variable to find the solution, if any.
g is greater than or equal to 4.4
g= 21.4, 0, 4, 4.4, 25
g= 21.4, 4.4, 25
400
The manager of a water park keeps track of the amount of money collected, m, and the number of tickets sold, t, each day. Which is the independent variable?
The variable t is the independent variable because money (m) depends on the number of tickets sold.
m - dependent
t-tickets sold
400
The number of apple slices remaining, r, and the number of apple slices eaten, e.
dependent: r
independent: e
400
Write the rule and tell whether this is additive or multiplicative.
7
y = 5x
Multiplicative
500
2.58 <= t + 0.25
t >= 2.33
500
Ellie has a gift card to buy a new computer. She says that the gift card's value is not enough to buy any of the computer items. Let v be the value on the gift card. Write the inequality that describes the value on the gift card.
Computer items cost: $324, $377, $413, $391
v< 324
500
April pays a dog walking service $30 each week to walk her dog. Draw and complete a table to show how many dollars, d, April spends on dog walking in w weeks.
w= 1, 2, __, __, 5
d=
Check board for the table.
Check board for completed table, but:
w= 1, 2, 3, 4, 5
d= 30, 60, 90, 120, 150
500
Use t for time and d for distance.
Audra walks 6 feet in 1 second. Audra walks 12 feet in 2 seconds.
Identify the independent and dependent variable. AND Write an equation that represents Audra's walk.
independent= t
dependent= d
d=6t
500
Tell the rule and whether the table shows additive or multiplicative
83, 11
Additive: y=x+80