Substitution Method- A Word Problem

Substitution Method- A Word Problem

Assessment

Assessment

Created by

Sarah Cicconetti

Mathematics

8th - 10th Grade

17 plays

Hard

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7 questions

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1.

Multiple Select

15 mins

1 pt

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

15 mins

1 pt

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

15 mins

1 pt

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

15 mins

1 pt

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

15 mins

1 pt

Use that equation to solve for y:


(2y) + y = 9

y = 3

y = 4.5

y = 27

y = 6

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