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Solving Systems and Absolute Value

Solving Systems and Absolute Value

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
3.OA.A.3, 6.EE.B.7

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.3.OA.A.3
,
CCSS.6.EE.B.7
This video tutorial covers a series of Algebra II problems from the California Standards Test. It begins with solving absolute value equations, demonstrating how to find solutions for equations like |3 - 6x| = 15 and |12 - 4x| = 2. The tutorial then moves on to solving systems of linear equations, including a real-world problem involving the purchase of roses and carnations. It also addresses a system of equations with no solution, explaining the concept of parallel planes. Finally, the video concludes with a problem about calculating the number of bagel packages, reinforcing the application of linear equations in practical scenarios.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the complete solution to the equation |3 - 6x| = 15?

x = 5 or x = -5

x = 0 or x = 15

x = 2 or x = -3

x = -2 or x = 3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the possible values of x in the equation |12 - 4x| = 2?

x = 2.5 or x = 3.5

x = 1.5 or x = 4.5

x = 0.5 or x = 5.5

x = 3 or x = 4

Tags

CCSS.6.EE.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many dozens of roses did Sherada buy if she bought a total of 17 dozen flowers and spent $192?

12 dozens

10 dozens

8 dozens

5 dozens

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system of equations if 2x - y + 3z = 8, x - 6y - z = 0, and -6x + 3y - 9z = 24?

x = 0, y = 0, z = 0

x = 1, y = 2, z = 3

Infinite solutions

No solution

Tags

CCSS.3.OA.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many packages of 12 bagels did the manager buy if he bought 20 packages in total and there were 168 bagels?

5 packages

8 packages

10 packages

12 packages

Tags

CCSS.3.OA.A.3

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