Linear Equations and Plant Growth

Linear Equations and Plant Growth

Assessment

Interactive Video

Mathematics

8th - 9th Grade

Hard

Created by

Mia Campbell

FREE Resource

This lesson teaches how to solve systems of two linear equations with no solution by graphing and analyzing slopes. It explains that parallel lines, which have the same slope but different y-intercepts, do not intersect and thus have no common solution. The lesson includes an example with equations 2x - 3y = 18 and -2x + 3y = -6, demonstrating that they are parallel. A real-world scenario with plant growth is used to further illustrate the concept. The lesson concludes by reinforcing the understanding of systems with no solution.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main method discussed for solving systems of two linear equations with no solution?

Matrix operations

Elimination method

Graphing and finding slopes

Using substitution

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What characteristic do parallel lines share?

Intersect at one point

Same y-intercept

Different slopes

Same slope

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what are the slopes of the two equations?

2/3 and -2/3

1/2 and 1/2

2/3 and 2/3

3/2 and 3/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do the equations 2x - 3y = 18 and -2x + 3y = -6 have no solution?

They are parallel

They have the same y-intercept

They have different slopes

They intersect at multiple points

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify algebraically that two lines are parallel?

By converting to slope-intercept form and comparing slopes

By checking if they have the same y-intercept

By checking if they have different slopes

By finding their intersection point

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope-intercept form of the equation 2x - 3y = 18?

y = -3/2x + 6

y = 3/2x - 6

y = -2/3x + 6

y = 2/3x - 6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the plant growth example, what is the initial height of the first plant?

8 inches

6 inches

4 inches

2 inches

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