Algebra 1 Mid-Year Review

Front

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

Find the slope of the line passing through the points (1, 2) and (2, 1).

Back

The slope is -1.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line goes down from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal (e.g., <, >, ≤, ≥).

Tags

CCSS.6.EE.B.8

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in the form y = mx + b, start at the y-intercept (0, b) and use the slope (m) to find another point.

Front

What does the term 'slope-intercept form' refer to?

Back

Slope-intercept form refers to the equation of a line written as y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the significance of the coefficient of x in the equation y = mx + b?

Back

The coefficient m represents the slope of the line, indicating the steepness and direction of the line.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a, where a is a constant.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and is represented by an equation of the form y = b, where b is a constant.

Tags

CCSS.8.EE.B.5