Solve a system of linear equations using substitution

Solve a system of linear equations using substitution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a system of equations using substitution?

Add the equations together

Multiply both equations by the same number

Graph the equations

Isolate a variable with a coefficient of 1 or -1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it beneficial to isolate a variable with a coefficient of 1 or -1?

It makes the equation more complex

It simplifies the substitution process

It eliminates the need for substitution

It allows for easier graphing

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the given system, which variable is isolated first?

Y in the second equation

X in the first equation

X in the second equation

Y in the first equation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the equation 15 = 15 indicate about the system of equations?

There is no solution

There is exactly one solution

There are infinitely many solutions

The equations are inconsistent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean graphically when a system of equations has infinitely many solutions?

The lines are the same

The lines are parallel

The lines never intersect

The lines intersect at one point

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