Exploring Rational Expressions in Grade 8 Mathematics

What is the distance between the points (2,4) and (2,10)?

• 6 units

• 4 units

• 10 units

• 8 units

If two points share the same x-value, along which axis do they align?

• z-axis

• x-axis

• y-axis

• None of the above

Which coordinate pair set is aligned along the same horizontal line?

• Pairs with the same x-value

• Pairs with the same y-value

• Pairs with different x and y values

• None of the above

How do you calculate the distance between two points with the same y-value?

• None of the above

• Multiply the x-values

• Subtract the x-values

• Add the x-values

What is the result of subtracting a negative number from a positive number?

• A smaller positive number

• A negative number

• Zero

• A larger positive number

What is the distance between the points (1, -10) and (-4, 10)?

• 15 units

• 5 units

• 10 units

• 20 units

What theorem is used to find the distance between two points in a coordinate plane?

• Fermat's Last Theorem

• Euclidean theorem

• Theorem of Thales

• Pythagorean theorem

What is the distance between the points (0,9) and (0,-3) using the Pythagorean theorem?

• 9 units

• 6 units

• 3 units

• 12 units

If the legs of a right triangle in a coordinate plane are 6 and 8, what is the length of the hypotenuse?

• 14 units

• 8 units

• 10 units

• 6 units

How do you find the distance between two points that do not share the same x or y values?

• None of the above

• By multiplying the coordinates

• By adding the coordinates

• Using the Pythagorean theorem