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Solving Systems of Equations

Solving Systems of Equations

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve a problem involving a college student who completed courses worth three and four credits, totaling 59 credits over 18 courses. The instructor sets up a system of linear equations to represent the problem, using variables X and Y for the three and four credit courses, respectively. The elimination method is used to solve the equations, resulting in the student having taken 13 three-credit courses and 5 four-credit courses. The tutorial concludes with a verification of the solution.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total number of courses the student completed?

15

18

20

22

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many credits did the student earn in total?

55

50

59

60

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What variable is used to represent the three credit courses?

Y

Z

X

W

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation represents the total number of courses?

3x + 4y = 59

x + y = 18

4x + 3y = 59

x - y = 18

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is used to solve the system of equations?

Elimination

Matrix

Graphing

Substitution

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of eliminating X from the equations?

Y = 3

Y = 6

Y = 4

Y = 5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many four credit courses did the student complete?

3

4

5

6

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