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 x increases, y decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality shows a region of the graph that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Start at (0, b) and use the slope to find another point.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the meaning of the term 'solution' in the context of a linear equation?

Back

A solution to a linear equation is a pair of values (x, y) that makes the equation true.

Front

How do you determine if a point lies on a line represented by a linear equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is the graphical representation of the inequality y ≤ mx + b?

Back

The graph includes the line y = mx + b and the area below the line, including the line itself.

Tags

CCSS.HSA.REI.D.12