

Lesson 26 Equations and Their Solutions
Presentation
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned
Andrew Witczak
Used 3+ times
FREE Resource
10 Slides • 7 Questions
1
Lesson 4 Equations and Their Solutions
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Multiple Select
An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.
Select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00.
5 necklaces and 1 bracelet
2 necklaces and 5 bracelets
3 necklaces and 3 bracelet
4 necklaces and 2 bracelets
3 necklaces and 5 bracelets
12
Multiple Select
Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25.
Select all the values (d,n) that could be solutions to the equation.
(0,445)
(0.50,435)
(233,21)
(118,209)
(172,101)
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Multiple Select
Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation 4c+6v=80 describes the relationship between the number of cars, c, and number of vans, v, that can transport exactly 80 students. Select all statements that are true about the situation.
c=14 and v=4 are a pair of solutions to the equation.
If 6 cars go and 11 vans go, there will be extra space.
10 cars and 8 vans isn’t enough to transport all the students.
If 20 cars go, no vans are needed.
8 vans and 8 cars are numbers that meet the constraints in this situation.
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Multiple Choice
Kiran’s family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person.
Including Kiran’s family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99.
Let n represent number of people watching the football game, s represent the ounces of sparkling water, p represent the ounces of pretzels, and b represent Kiran’s budget in dollars. Which equation best represents Kiran’s budget?
12s+3p=b
1210+310=b
1.50s+2.99p=b
1.50(6)+2.99(2)=b
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Open Ended
The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, S, be measured in feet per second.
Write an equation to represent the relationship between the three quantities (speed, distance, and time).
Lesson 4 Equations and Their Solutions
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