Solving Systems of Equations

Solving Systems of Equations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

Miss Kaysen explains how to solve a system of equations using the equal values method. She sets two equations equal to each other, eliminates fractions by multiplying, and solves for X. After finding X, she substitutes it back into one of the original equations to find Y, resulting in the solution as an ordered pair.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What method is being used to solve the system of equations in this problem?

Graphical Method

Equal Values Method

Substitution Method

Elimination Method

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two equations given in the problem?

y = 1/4x + 5 and y = 3x - 9

y = 1/2x + 5 and y = 2x - 9

y = 1/4x + 5 and y = 2x - 9

y = 1/4x + 5 and y = 2x + 9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we set the two equations equal to each other?

To eliminate x

Because they both equal y

To simplify the equation

To find the slope

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of multiplying the entire equation by 4?

To find the value of y

To get rid of the fraction

To eliminate the variable x

To simplify the equation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new equivalent equation after multiplying by 4?

x + 20 = 8x - 36

4x + 20 = 8x - 36

x + 5 = 2x - 9

4x + 5 = 8x - 9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After simplifying, what equation do we get to solve for x?

20 = 7x + 36

20 = 8x - 36

20 = 8x + 36

20 = 7x - 36

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x after solving the equation?

x = 9

x = 7

x = 10

x = 8

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