Graphing and Analyzing Linear Relationships

The video tutorial covers five problems from the 2022 8th grade math STAR test. It begins with transforming a triangle on a coordinate grid by reflecting it across the y-axis. Next, it uses the Pythagorean theorem to find the hypotenuse of a right triangle. The third problem involves solving for x using a perimeter equation. The fourth problem predicts a dog's weight using a scatter plot. Finally, the video analyzes the slope of a graph to determine the cost of bracelets.

What transformation rule is applied to triangle HJK to create triangle HJK'?

• X, Y transformed to X, -Y

• X, Y transformed to -X, Y

• X, Y transformed to Y, X

• X, Y transformed to -X, -Y

If the x-coordinate of point K is 6, what will it be after the transformation?

• 12

• 0

• -6

• 6

Which axis is the triangle reflected across in the transformation?

• X-axis

• Y-axis

• Origin

• Z-axis

What is the formula used to find the hypotenuse of a right triangle?

• a^2 = b^2 + c^2

• a^2 + b^2 = 2c

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

Given the sides 11.9 inches and 7.9 inches, what is the hypotenuse?

• 15.1 inches

• 13.5 inches

• 16.2 inches

• 14.3 inches

What operation is used to find the hypotenuse when given the two legs of a right triangle?

• Multiplication

• Subtraction

• Addition

• Division

What equation represents the perimeter of the triangle with sides 15, 15, and 7x?

• 15 + 7x = 17x

• 15 + 15 + 7x = 17x

• 15 + 15 = 17x

• 7x = 17x

What is the value of x if the perimeter of the triangle is 17x?

• x = 4

• x = 5

• x = 3

• x = 2

How do you combine like terms in the equation 30 + 7x = 17x?

• Subtract 7x from both sides

• Add 7x to both sides

• Multiply both sides by 7

• Divide both sides by 7

What is the best prediction for the weight of a dog that is 28 weeks old based on the scatter plot?

• 70 pounds

• 80 pounds

• 75 pounds

• 65 pounds