Substitution Method- A Word Problem

Assessment
•
Sarah Cicconetti
•
Mathematics
•
8th - 10th Grade
•
17 plays
•
Hard
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7 questions
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1.
Multiple Select
Jacob bought a total of 9 pizzas for his class party. The amount of large pizzas was twice the amount of medium pizzas. How many large and how many medium pizzas did he buy?
What do the two variables in this problem stand for? Select two choices below.
x = number of large pizzas
y = number of medium pizzas
x = numbers of students in Jacob's class
y = how hungry the students are
y = number of slices each student gets
2.
Multiple Select
Jacob bought a total of 9 pizzas for his class party. The amount of large pizzas was twice the amount of medium pizzas. How many large and how many medium pizzas did he buy?
x = number of large pizzas
y = number of medium pizzas
Which of the two equations below represent this situation. Select two answers.
x + y = 9
x = 2y
y = 2x
xy = 9
3.
Multiple Choice
Given our two equations:
x + y = 9
x = 2y
Which variable is already isolated?
In equation 2, the x is isolated.
In equation 1, the x is isolated.
In equation 2, the y is isolated.
In equation 1, the y is isolated.
4.
Multiple Choice
Given that x = 2y, substitute it into the other equation. What equation do you have now?
(2y) + y = 9
x + (2x) = 9
x + (2y) = 9
2y = 2y
5.
Multiple Choice
Use that equation to solve for y:
(2y) + y = 9
y = 3
y = 4.5
y = 27
y = 6
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