IM Alg1.2.24 Lesson: Solutions to Systems of Linear Inequalities in Two Variables
Here is a riddle: “I am thinking of two numbers that add up to 5.678. The difference between them is 9.876. What are the two numbers?”
Name any pair of numbers whose sum is 5.678.[br]
Name any pair of numbers whose difference is 9.876.[br]
The riddle can be represented with two equations. Write the equations.[br]
Solve the riddle. Explain or show your reasoning.[br]
To make a quilt, a quilter is buying fabric in two colors, light and dark.
[table][tr][td]He needs at least 9.5 yards of fabric in total.[br]The light color costs $9 a yard. The dark color costs $13 a yard. [br]The quilter can spend up to $110 on fabric.[/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][br][size=150]Here are two graphs that represent the two constraints.[/size][br][img]data:image/png;base64,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[/img][br][br][br]Write an inequality to represent the length constraint. Let [math]x[/math] represent the yards of light fabric and [math]y[/math] represent the yards of dark fabric.
Select [b]all [/b]the pairs that satisfy the length constraint.
Write an inequality to represent the cost constraint.[br]
Select [b]all [/b]the pairs that satisfy the cost constraint.
Explain why [math]\left(2,2\right)[/math] satisfies the cost constraint, but not the length constraint.[br]
Find at least one pair of numbers that satisfies [i]both[/i] constraints. Be prepared to explain how you know.[br]
What does the pair of numbers represent in this situation?[br]
Here are some situations you have seen before. Answer the questions for one situation.
[size=150]Bank Accounts[/size][br][list][*]A customer opens a checking account and a savings account at a bank. They will deposit a maximum of $600, some in the checking account and some in the savings account. (They might not deposit all of it and keep some of the money as cash.)[/*][*]The bank requires a minimum balance of $50 in the savings account. It does not matter how much money is kept in the checking account.[/*][/list][br]Write a [b]system of inequalities[/b] to represent the constraints. Specify what each variable represents.
Use technology to graph the inequalities and sketch the solution regions. Include labels and scales for the axes.
Identify [b]a solution to the system[/b]. Explain what the numbers mean in the situation.
[size=150]Concert Tickets[/size][br][list][*]Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Fewer than 400 tickets in total were sold.[/*][*]Lawn tickets cost $30 each and seat tickets cost $50 each. The organizers want to make at least $14,000 from ticket sales.[/*][/list][br]Write a [b]system of inequalities[/b] to represent the constraints. Specify what each variable represents.
Use technology to graph the inequalities and sketch the solution regions. Include labels and scales for the axes.
Identify [b]a solution to the system[/b]. Explain what the numbers mean in the situation.
[size=150]Advertising Packages[/size][br][list][*]An advertising agency offers two packages for small businesses who need advertising services. A basic package includes only design services. A premium package includes design and promotion. The agency's goal is to sell at least 60 packages in total.[/*][*]The basic advertising package has a value of $1,000 and the premium package has a value of $2,500. The goal of the agency is to sell more than $60,000 worth of small-business advertising packages.[/*][/list][br]Write a [b]system of inequalities[/b] to represent the constraints. Specify what each variable represents.
Use technology to graph the inequalities and sketch the solution regions. Include labels and scales for the axes.
Identify [b]a solution to the system[/b]. Explain what the numbers mean in the situation.
Members of a high school math club are doing a scavenger hunt.
[size=150]Three items are hidden in the park, which is a rectangle that measures 50 meters by 20 meters.[/size][br][br][list][*]The clues are written as systems of inequalities. One system has no solutions.[/*][*]The locations of the items can be narrowed down by solving the systems. A coordinate plane can be used to describe the solutions.[/*][/list][br]Can you find the hidden items? Sketch a graph to show where each item could be hidden.[br]
Clue 1: y>14 and x<10
Clue 2: x+y<20 and x>6
Clue 3: y<-2x+20 and y<-2x+10
Clue 4: y≥x+10 and x>y
Find a second inequality, also using [math]x[/math] and [math]y[/math] values greater than or equal to zero, to make a system of inequalities with exactly one solution.[br]
Clue 4: y≥x+10 and x>y
Find as many ways to answer the previous question as you can.
IM Alg1.2.24 Practice: Solutions to Systems of Linear Inequalities in Two Variables
Two inequalities are graphed on the same coordinate plane.
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[/img][br][br]Which region represents the solution to the system of the two inequalities?
Here is a system of inequalities:
[math]\begin{cases} y \leq \text-2x+6 \\ x-y < 6 \end{cases}[/math][br][br]Select [b]all [/b]the pairs of [math]x[/math] and [math]y[/math] that are solutions to this system of inequalities.
Jada has $200 to spend on flowers for a school celebration.
[size=150]She decides that the only flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and carnations cost $0.65 each. Jada buys enough roses so that each of the 75 people attending the event can take home at least one rose.[/size][br][br]Write an inequality to represent the constraint that every person takes home at least one rose.[br]
Write an inequality to represent the cost constraint.[br]
Here are the graphs of the equations 3x+y=9 and 3x-y=9 on the same coordinate plane. Label each graph with the equation it represents.
Identify the region that represents the solution set to [math]3x+y<9[/math]. Is the boundary line a part of the solution? Use the dropdown menu and sliders to mark the solution set.[br]
Which coordinate pair is a solution to the inequality 4x-2y<22?
Identify a point that is a solution to both [math]3x+y<9[/math] and [math]3x-y<9[/math].[br]
Consider this linear equation 9x-3y=12.
The pair [math]\left(3,5\right)[/math] is a solution to the equation. Find another pair [math]\left(x,y\right)[/math] that is a solution to the equation.
Are [math]\left(3,5\right)[/math] and [math]\left(2,-10\right)[/math] solutions to the inequality [math]9x-3y\le12[/math]? Explain how you know.
Elena is considering buying bracelets and necklaces as gifts for her friends.
[size=150]Bracelets cost $3, and necklaces cost $5. She can spend no more than $30 on the gifts.[/size][br][br]Write an inequality to represent the number of bracelets, [math]b[/math], and the number of necklaces [math]n[/math], she could buy while sticking to her budget.
Graph the solutions to the inequality on the coordinate plane.
Explain how we could check if the boundary is included or excluded from the solution set.[br]
In physical education class, Mai takes 10 free throws and 10 jump shots.
[size=150]She earns 1 point for each free throw she makes and 2 points for each jump shot she makes. The greatest number of points that she can earn is 30.[/size][br][br]Write an inequality to describe the constraints. Specify what each variable represents.
Name one solution to the inequality and explain what it represents in that situation.
A rectangle with a width of w and a length of l has a perimeter greater than 100.
Here is a graph that represents this situation.[br][br][img]data:image/png;base64,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[/img][br][br]Write an inequality that represents this situation.
Can the rectangle have width of 45 and a length of 10? Explain your reasoning.
Can the rectangle have a width of 30 and a length of 20? Explain your reasoning.