Fall S1 Final Exam Study Guide

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Tags

CCSS.8.EE.B.5

Front

What is the rate of change in a graph?

Back

The rate of change represents how much one quantity changes in relation to another quantity, often represented as the slope of the line on a graph.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the average rate of change over an interval?

Back

The average rate of change is calculated by taking the difference in the y-values divided by the difference in the x-values over the interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the average rate of change if a climber goes from 400 feet to 700 feet in 4 hours?

Back

The average rate of change is (700 - 400) / (6 - 2) = 300 / 4 = 75 feet per hour.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values that satisfy the equation, often resulting in a contradiction.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, typically when both sides are equivalent.

Tags

CCSS.8.EE.C.7A

Front

Back

Tags

CCSS.8.EE.C.7A

Front

What is a linear equation?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2