Solving Systems of Equations

Solving Systems of Equations

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Practice Problem

Hard

Created by

Mia Campbell

FREE Resource

The video tutorial explains how adding equations in a system results in an equation with the same solution, using the addition property of equality. It demonstrates this with examples, showing how to find and verify solutions to systems of equations by adding them together.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you add two equations in a system?

The solution changes.

The solution remains the same.

The equations become invalid.

The equations cannot be added.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the addition property of equality state?

Adding the same value to both sides of an equation keeps it true.

Multiplying both sides of an equation by the same value keeps it true.

Adding different values to both sides of an equation keeps it true.

Subtracting the same value from both sides of an equation keeps it true.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the system x + y = 5 and x - y = 1, which pair is a solution?

(1, 4)

(2, 3)

(3, 2)

(4, 1)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of testing number pairs in a system of equations?

To verify the solution satisfies both equations.

To change the system of equations.

To eliminate one of the equations.

To find the sum of the equations.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of adding x + y = 5 and x - y = 1?

x = 5

x = 1

x = 3

x = 2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it valid to add equations in a system?

Because it eliminates variables.

Because it changes the solution.

Because it simplifies the system.

Because of the addition property of equality.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does combining like terms in x + y and x - y result in?

2x

x - y

x + y

2x + 2y

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