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Solving Systems of Equations

Solving Systems of Equations

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
8.EE.C.8B, HSA.REI.C.9, HSA.REI.C.6

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.HSA.REI.C.9
,
CCSS.HSA.REI.C.6
The video tutorial explains how to solve a system of equations using three methods: graphing, substitution, and matrices on a TI-84 calculator. It demonstrates each method step-by-step, showing that all methods lead to the same solution, x = 1 and y = 2. The tutorial highlights the advantages of using Desmos for graphing and provides a detailed algebraic process for substitution. It also covers using the TI-84 calculator to solve the system with matrices, confirming the solution's consistency across different approaches.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which methods were introduced for solving systems of equations?

Substitution, graphing, and elimination

Graphing, substitution, and using a matrix on the TI-84

Elimination, graphing, and using a matrix on the TI-84

Substitution, elimination, and using a matrix on the TI-84

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one advantage of using Desmos for graphing equations?

It requires equations to be in slope-intercept form

It can only graph equations in standard form

It can graph equations in both slope-intercept and standard form

It does not require any form of the equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What form must equations be in to use the TI-84 for graphing?

Slope-intercept form

Any form

Point-slope form

Standard form

Tags

CCSS.8.EE.C.8B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system of equations obtained by graphing?

x = 2, y = 1

x = 1, y = 3

x = 1, y = 2

x = 2, y = 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the substitution method, what is substituted into the second equation?

y = 3x + 5

x = 3y + 5

y = -3x + 5

x = -3y + 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x obtained using the substitution method?

x = 2

x = 1

x = 3

x = 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the value of y found after determining x in the substitution method?

By using the matrix method

By solving for y directly

By using the graph

By substituting x into the original equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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