Exploring Linear Relationships

This worksheet helps sixth-grade students understand and identify linear relationships through tables, graphs, and equations.

Grade 6 Math AlgebraLinear Relationships

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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.6.EE.C.9

Topics

mathalgebralinear relationshipsgrade 6

7 sections · Free to use · Printable

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. In a linear relationship, when one quantity changes, the other quantity changes by a amount.

2. A linear relationship can be represented by a straight when graphed.

3. The equation for a basic linear relationship often looks like y = mx, where 'm' is the .

1. Which of the following tables shows a linear relationship?

x | y --|-- 1 | 2 2 | 4 3 | 6

x | y --|-- 1 | 1 2 | 4 3 | 9

x | y --|-- 1 | 2 2 | 3 3 | 5

x | y --|-- 1 | 10 2 | 5 3 | 2

1. Plot the points from the table below on the coordinate plane. Then, draw a line through the points. Is this a linear relationship?

x | y --|-- 0 | 0 1 | 3 2 | 6 3 | 9

1. The equation y = x + 5 represents a linear relationship.

True

False

2. The points (1, 1), (2, 4), (3, 9) form a linear relationship.

True

False

1. A plant grows 2 cm each week. If its initial height was 5 cm, write an equation that represents the plant's height (h) after 'w' weeks.

2. If a car travels at a constant speed of 60 miles per hour, write an equation to find the distance (d) it travels in 't' hours.

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