8th Grade Math Review

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is a Pythagorean Triple?

Back

A Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c².

Tags

CCSS.8.G.B.8

Front

Is the set of numbers 4, 5, 6 a Pythagorean Triple?

Back

No, because 4² + 5² = 16 + 25 = 41, which is not equal to 6² (36).

Tags

CCSS.8.G.B.8

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Tags

CCSS.8.G.B.7

Front

If one side of a right triangle is 30 in. and the hypotenuse is 50 in., what is the length of the missing side?

Back

Using the Pythagorean theorem: 30² + b² = 50²; 900 + b² = 2500; b² = 1600; b = 40 in.

Tags

CCSS.8.G.B.7

Front

What is a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

How can you determine if a set of ordered pairs represents a function?

Back

Check if any x-value is repeated; if no x-value is repeated, it is a function.

Tags

CCSS.8.F.A.1

Front

What is the slope of the line that passes through the points (2, 3) and (4, 5)?

Back

m = (5 - 3) / (4 - 2) = 2 / 2 = 1.

Tags

CCSS.8.EE.B.5