Algebra Module 8.1

A line segment on a coordinate plane representing the distance a bicyclist is from home has a slope of 35/2. On a line segment, x represents time, in hours, that the bicyclist has been riding and y represents the bicyclists distance, in miles, from home. The bicyclist began his ride at home and rides his bicycle at a constant rate. How long will it take until the bicyclist is 140 miles from home?

• 2 hours

• 4 hours

• 7 hours

• 8 hours

The ordered pairs shown are on the same line: (6, 4), (12, 6). which equation describes the relationship between the x-coordinate and the y-coordinate in the ordered pairs?

• y = 3x - 14

• y = 3x - 6

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Michelle went on a bicycle trip. The scatter plot below shows the distance she had traveled for various lengths of the time during the bicycle trip. Which equation describes the line of best fit for the scatter plot?

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Hank counted the number of scratches on cars of different ages. Hank then created a scatter plot showing the relationship between the age of a car (x) and the number of scratches found on the car (y). Based on the line of best fit, which is most likely the number of scratches that could be found on a car that is 30 years old?

• 30

• 74

• 87

• 100

Write an equation that can be used to find d, the difference between the last number and the first number for any row r.

• d = 3(r - 1)

• d = 3r - 1

• d = 3 - 3r

• d = 1 - 3r

Use the drawing tool to circle each correct answer.

There are 4 parts to this question- make sure to complete them all!

Which of these is an example of an irrational number?

• √2

• √1

• √9

• √25

Which expression is equivalent to (2x² + 4y³)(2x² – 4y³)?

• 4x⁴ - 16y⁹

• 4x⁴ +16x²y³- 16y⁶

• 4x⁴ -16x²y³- 16y⁶

• 4x⁴ - 16y⁶

Which expression is equivalent to 30c – 18cd – 10 + 6d?

• (6c + 2)(5 + 3d )

• (6c + 2)(5 – 3d )

• (6c – 2)(5 + 3d )

• (6c – 2)(5 – 3d )

Which expression is equivalent to 22x³y² + 55x²y⁴ ?

• 11x²y² (5x + 2y²)

• (11x²y² + 1)(5y² + 2x)

• 11x²y² (5y² + 2x)

• 11y² ( 2x² + 5xy²)